THE LARGEST KNOWN PRIMES (Primes with 10000 or more digits) (all smaller primes which have comments are also included) Originally Compiled by Samuel Yates -- Continued by Chris Caldwell (19 October 1998) So that I can maintain this database of the 5,000 largest known primes (plus selected smaller primes with 1,000 or more digits), please send any new gigantic or titanic primes, comments and/or corrections, to Professor Chris K. Caldwell Mathematics/Computer Science caldwell@utm.edu University of Tennessee at Martin http://www.utm.edu/~caldwell Martin, TN 38238, USA (901) 587-7360. This list (plus information such as how to find large primes and how to prove primality) is available at the interactive web site: http://www.utm.edu/research/primes/largest.html The letters after the rank indicate the most recently added primes. See the last pages for information about these and all other notations. rank prime digits who year *** Gigantic Primes (those with over 10,000 digits) *** 1 2^3021377-1 909526 G3 98 Mersenne 37? 2 2^2976221-1 895932 G2 97 Mersenne 36? 3 2^1398269-1 420921 G1 96 Mersenne 35 4 2^1257787-1 378632 SG 96 Mersenne 34 5 2^859433-1 258716 SG 94 Mersenne 33 6 2^756839-1 227832 SG 92 Mersenne 32 7b 481899*2^481899+1 145072 gm 98 Cullen 8d 361275*2^361275+1 108761 DS 98 Cullen 9d 9*2^304607+1 91697 g23 98 Divides GF(304604,6) 10 3*2^303093+1 91241 Y 98 . Divides Fermat F(303088); GF(303086,6), GF(303092,10), GF(303088,12) [g0], generalized Cullen 11b 7*2^283034+1 85203 Y 98 12a 27253*2^272347-1 81990 g23 98 13 262419*2^262419+1 79002 DS 98 Cullen 14 9183*2^262112+1 78908 gr 97 15d 111113277*2^250132+1 75306 g8 98 16 5*2^240937+1 72530 Y 97 17e 25229*2^238652-1 71846 g0 98 18 391581*2^216193-1 65087 Z 89 19 2^216091-1 65050 S 85 Mersenne 31 20 3*2^213321+1 64217 Y 97 . Divides Fermat F(213319); GF(213316,6), GF(213319,12) [g0], generalized Cullen 21 5*2^209787+1 63153 Y 97 22d 7*2^207084+1 62340 g35 98 23b 15*2^184290+1 55478 Y 98 . Divides GF(184288,12) [g0], generalized Cullen 24 60541*2^176340+1 53089 Y 97 25 39781*2^176088+1 53013 Y 97 26a 285*2^165957+1 49961 g57 98 27 27923*2^158625+1 47756 Y 97 28 3*2^157169+1 47314 Y 95 . Divides Fermat F(157167); GF(157163,6), GF(157168,10), GF(157167,12) [g0] 29b 285*2^155637+1 46854 g57 98 30f 151023*2^151023-1 45468 g25 98 Woodall page 2 31f 19*2^149146+1 44899 g0 98 Divides GF(149145,12) 32 9*2^149143+1 44898 Y 95 Divides GF(149141,12) [g0] 33 9*2^147073+1 44275 Y 95 Divides GF(147070,12) [g0] 34 9*2^145247+1 43725 Y 95 35 231*2^143949+1 43336 Y 98 36g 143018*2^143018-1 43058 g23 98 Woodall 37c 285*2^141253+1 42524 g57 98 38d 70175*2^135753+1 40871 g16 98 39 2^132049-1 39751 S 83 Mersenne 30 40 10038165*2^131040+1 39454 gr 97 41 195*2^130388+1 39253 Y 98 42 45*2^129731+1 39055 Y 98 43a 607*2^129568+1 39007 g39 98 44c 207*2^128850+1 38791 gt 98 45 9*2^127003+1 38233 Y 95 Divides GF(126999,12) [g0] 46 7013*2^126113+1 37968 Y 97 47 5*2^125413+1 37754 Y 95 . Divides Fermat F(125410); GF(125408,10) [g0] 48 183*2^123964+1 37320 Y 98 49c 153*2^122821+1 36975 g44 98 50e 261*2^119447+1 35960 g23 98 51 27*2^117784+1 35458 g0 97 52e 257*2^115807+1 34864 gk 98 53 9*2^114854+1 34576 Y 95 54 27*2^114760+1 34548 g0 97 55 57*2^114400+1 34440 Y 98 56 13*2^114296+1 34408 Y 95 . Divides Fermat F(114293); GF(114293,10) [g0], Generalized Cullen 57a 49*2^113022+1 34025 g69 98 58b 982451737*2^112548+1 33890 g15 98 59 25819*2^111842+1 33673 Y 97 60 7521*2^111111+1 33452 gr 97 61 309*2^110503+1 33268 g2 97 62 2^110503-1 33265 WC 88 Mersenne 29 63g 103*2^109888+1 33082 g12 98 64f 48703*2^109415-1 32942 gk 98 65 13*2^109258+1 32892 Y 95 66d 81*2^108348+1 32618 g23 98 67e 261*2^107639+1 32405 g23 98 68c 291*2^106863+1 32172 g52 98 69a 65*2^106515+1 32067 gt 98 70 11*2^105741+1 31833 Y 95 71 46187*2^104907+1 31585 Y 97 72 75*2^104082+1 31334 Y 98 73f 67*2^103572+1 31181 g43 98 74g 103*2^103048+1 31023 g12 98 75f 67*2^101742+1 30630 g43 98 76a 235*2^101318+1 30503 g41 98 77 18973*2^101010+1 30412 g16 98 78d 97*2^100984+1 30402 g12 98 79g 261*2^100677+1 30310 g23 98 80 6045*2^100482+1 30252 g2 97 81c 201*2^100459+1 30244 g56 98 Divides GF(100456,10) 82 17*2^99231+1 29873 Y 95 83 87*2^98978+1 29798 Y 98 84 98726*2^98726-1 29725 Y 97 Woodall 85 187473*2^97322+1 29303 g8 98 86 29*2^96947+1 29186 Y 95 Generalized Cullen page 3 87 46471*2^96640+1 29097 Y 97 88g 261*2^96360+1 29010 g23 98 89 60443*2^95901+1 28874 Y 97 90 141*2^95851+1 28857 Y 98 91 669*2^95337+1 28703 DM 96 92 7*2^95330+1 28699 Y 95 . Divides Fermat F(95328); GF(95329,6), GF(95329,12) [BR] 93 101*2^95315+1 28695 g12 98 94 21*2^94801+1 28540 Y 95 Divides Fermat F(94798) 95b 39*2^94449+1 28434 Y 98 96a 59*2^93939+1 28281 g69 98 97c 4765*2^93516+1 28155 g34 98 98 11*2^93279+1 28081 Y 95 99 31*2^93168+1 28048 Y 95 100e 73*2^91496+1 27545 gt 98 101 21*2^91008+1 27398 Y 95 102 90825*2^90825+1 27347 Y 97 Cullen 103b 133*2^90346+1 27199 g44 98 104c 4765*2^90010+1 27100 g34 98 105f 81*2^89395+1 26913 g23 98 106a 127*2^88958+1 26782 MC 98 107c 63*2^88366+1 26603 gt 98 108 29*2^88117+1 26528 Y 95 109a 49*2^88090+1 26520 g69 98 110 7*2^88066+1 26512 Y 95 111 13*2^88018+1 26498 Y 95 112c 105*2^87231+1 26262 g55 98 113 255*2^86900+1 26162 Y 98 114 2^86243-1 25962 S 82 Mersenne 28 115e 982451737*2^85798+1 25837 g15 98 116 85375*2^85374+1 25706 g2 97 117b 299*2^85263+1 25670 g66 98 118d 65*2^84839+1 25541 gt 98 119e 151*2^84640+1 25482 g44 98 120 101*2^84369+1 25400 g12 98 121a 99*2^83863+1 25248 g44 98 Divides Fermat F(83861) 122 6297*2^83383+1 25105 g1 97 123a 83323*2^83079-1 25015 gk 98 124e 73*2^82926+1 24966 gt 98 125e 153*2^82205+1 24749 g44 98 126b 39*2^82191+1 24744 Y 98 127e 137*2^81839+1 24639 MC 98 128d 247*2^81576+1 24560 g35 98 129 65537*2^81359+1 24497 gk 98 130f 982451707*2^80408+1 24215 g15 98 131 3*2^80190+1 24141 Y 95 Generalized Cullen 132c 155*2^79557+1 23952 g41 98 133c 30015*2^79496+1 23936 g2 98 134f 982451707*2^79160+1 23839 g15 98 135a 99*2^78923+1 23761 g44 98 136c 105*2^78697+1 23693 g55 98 137f 30689*2^78560-1 23654 g0 98 138c 105*2^78363+1 23592 g55 98 139a 6917!-1 23560 g1 98 Factorial minus one 140g 223*2^78244+1 23557 g14 98 141 8289*2^77777+1 23418 g10 97 142c 291*2^77560+1 23351 g52 98 143b 39*2^77242+1 23254 Y 98 page 4 144a 253*2^76828+1 23130 g59 98 145b 95561*2^76754-1 23111 gk 98 146 31*2^76596+1 23060 Y 95 147c 105*2^75314+1 22674 g55 98 148d 291*2^74832+1 22530 g52 98 149f 982451737*2^74652+1 22482 g15 98 150e 33*2^74178+1 22332 g36 98 151b 51*2^73571+1 22149 g67 98 152 19*2^73338+1 22079 Y 95 153g 79*2^73246+1 22052 gk 98 154d 65*2^73237+1 22049 gt 98 155a 577294575*2^73106+1 22016 g42 98 156d 129*2^72599+1 21857 g39 98 157f 41983*2^72347-1 21784 g23 98 158e 49*2^72210+1 21740 g39 98 159d 193*2^72174+1 21729 g39 98 160b 635*2^71953+1 21663 g27 98 161b 309*2^71877+1 21640 g27 98 162f 195*2^71590+1 21554 g39 98 163a 6380!+1 21507 g1 98 Factorial plus one 164a 577294575*2^71258+1 21460 g42 98 165d 219*2^71259+1 21454 g39 98 166b 132249*2^71235+1 21449 g26 98 167c 130781*2^71235+1 21449 g26 98 168 57*2^70950+1 21360 g23 98 169e 197*2^70619+1 21261 g39 98 170b 299*2^70441+1 21208 g63 98 171e 207*2^70250+1 21150 g39 98 172 195*2^70228+1 21144 Y 98 173f 169*2^70110+1 21108 g39 98 174 235235*2^70000-1 21078 Z 89 175c 99*2^69947+1 21059 D 98 176c 105*2^69637+1 20965 g27 98 177g 77099*2^69356-1 20884 gk 98 178d 265*2^69260+1 20852 gd 98 179d 69*2^69119+1 20809 gk 98 180b 51*2^68956+1 20760 g43 98 181g 223*2^68584+1 20649 g14 98 182f 35*2^68281+1 20557 g12 98 183e 251*2^68255+1 20550 g35 98 184d 113*2^68161+1 20521 g47 98 185d 155*2^67973+1 20465 g41 98 186 9*2^67943+1 20454 Y 95 Divides GF(67941,6) [BR] 187b 5005*2^67878+1 20438 SP 98 188e 187*2^67878+1 20436 gd 98 189 93*2^67722+1 20389 Y 98 190c 285*2^67347+1 20276 g57 98 191 338073*2^67322+1 20272 g8 98 192 334915*2^67322+1 20272 g8 98 193 332557*2^67322+1 20272 g8 98 194 165*2^67326+1 20270 Y 98 195a 127*2^67318+1 20267 g59 98 196 207*2^67196-1 20231 Z 89 197 33*2^67182-1 20226 Z 89 198 15665*2^67003+1 20175 g16 97 199 7281*2^67001+1 20174 g1 97 200 2499*2^67001+1 20173 g1 97 201 39*2^66971+1 20162 DM 97 page 5 202 25*2^66872+1 20132 Y 95 203c 11199*2^66751+1 20099 g6 98 204f 111111189*2^66666+1 20077 g5 98 205f 444448721*2^66663+1 20077 g26 98 206 77647*2^66666+1 20074 g14 97 207 19497*2^66666+1 20073 gr 97 208g 115*2^66576+1 20044 g12 98 209e 197*2^66123+1 19908 gd 98 210b 133*2^66020+1 19877 g44 98 211f 73*2^65826+1 19818 gt 98 212 177*2^65806+1 19812 Y 98 213d 5007*2^65678+1 19775 SP 98 214 141*2^65593+1 19748 Y 98 215 1063*2^65536+1 19732 g3 97 216 10621*2^65432+1 19702 g0 97 217e 429*2^65195+1 19629 g27 98 218f 44107*2^65173-1 19624 g23 98 219b 405*2^64825+1 19517 gt 98 220a 986963835*2^64794+1 19514 g22 98 221c 5007*2^64491+1 19418 SP 98 222c 5097*2^64439+1 19402 SP 98 223c 299*2^64417+1 19394 g29 98 224b 441*2^64369+1 19380 gt 98 225 181*2^64264+1 19348 g2 97 226b 165*2^64108+1 19301 g0 98 227f 5083*2^64032+1 19280 SP 98 228d 77*2^63883+1 19233 g23 98 229b 133*2^63870+1 19229 g44 98 230a 1041*2^63801+1 19210 gt 98 231d 265*2^63794+1 19207 gd 98 232e 169*2^63686+1 19174 gd 98 Divides Fermat F(63679) 233e 207*2^63595+1 19147 gt 98 234c 99*2^63558+1 19135 gd 98 Generalized Cullen 235 111111111*2^63361+1 19082 g2 97 236e 135*2^63190+1 19025 g44 98 237d 93*2^63016+1 18972 gd 98 238c 285*2^62973+1 18960 g57 98 239 207*2^62966+1 18957 Y 98 240a 259*2^62918+1 18943 g59 98 241e 175*2^62642+1 18860 gd 98 242a 1095*2^62613+1 18852 gt 98 243f 57359*2^62500-1 18820 g1 98 244 261*2^62445+1 18801 g23 98 245 39*2^62429+1 18795 DM 97 246c 99*2^62361+1 18775 gd 98 247 37*2^62350+1 18771 DM 97 248g 141*2^62060+1 18685 g1 98 249 27*2^62024-1 18673 Z 89 250 24009*2^61963+1 18658 g13 98 251 35*2^61963+1 18655 DM 97 252d 93*2^61904+1 18637 gd 98 253 47897*2^61871+1 18630 Y 97 254 15*2^61758+1 18593 Y 95 255g 223*2^61700+1 18576 g14 98 256f 111111189*2^61518+1 18527 g5 98 257e 247*2^61512+1 18520 g35 98 258 261*2^61444+1 18499 g23 98 259 33*2^61372+1 18477 DM 97 page 6 260 11522505*2^61312+1 18464 F 97 261 11165175*2^61312+1 18464 F 96 262 1205919*2^61315+1 18464 F 96 263 4804029*2^61313+1 18464 F 96 264 4474635*2^61313+1 18464 F 96 265 8752575*2^61312+1 18464 F 96 266 2173467*2^61314+1 18464 F 96 267 7217943*2^61312+1 18464 F 96 268 6514905*2^61312+1 18464 F 96 269 2929269*2^61313+1 18464 F 96 270 1290789*2^61313+1 18464 F 96 271 1267815*2^61313+1 18464 F 96 272 811779*2^61313+1 18463 F 95 273 131679*2^61315+1 18463 F 95 274 405615*2^61312+1 18463 F 95 275b 111*2^61300+1 18456 g64 98 276b 253*2^61256+1 18443 g59 98 277 140359*2^61238+1 18440 SP 97 278a 87*2^61202+1 18426 gd 98 279b 127*2^61054+1 18382 g59 98 280g 141*2^60951+1 18351 g1 98 281e 199*2^60738+1 18287 gd 98 282a 245*2^60615+1 18250 g71 98 283 982451653*2^60496+1 18221 g15 97 284d 267*2^60282+1 18150 gd 98 285d 267*2^60134+1 18105 gd 98 286 3*2^59973+1 18055 Y 95 Generalized Cullen 287d 239*2^59905+1 18036 gt 98 288 8423*2^59877+1 18029 BY 88 289f 3230791*2^59828+1 18017 g40 98 290b 116531*2^59782-1 18002 gk 98 291b 741*2^59771+1 17996 gt 98 292c 191*2^59770-1 17995 gk 98 293 59656*2^59656+1 17964 Y 97 Cullen 294a 789*2^59593+1 17943 gt 98 295 111111111*2^59560+1 17938 g2 97 296c 299*2^59487+1 17910 g29 98 297e 83*2^59401+1 17884 gk 98 298 37*2^59354+1 17869 DM 97 299 51*2^59217+1 17828 DM 97 300e 121*2^59196+1 17822 gk 98 301d 237*2^59140+1 17806 gt 98 302e 135*2^58878+1 17727 g44 98 303 140229*2^58819+1 17712 SP 98 304e 207*2^58720+1 17679 gt 98 305 255*2^58476-1 17606 Z 89 306f 111111189*2^58310+1 17562 g5 98 307c 107*2^58291+1 17550 g59 98 308b 577294575*2^58085+1 17495 g42 98 309e 89*2^58101+1 17493 gk 98 310a 657*2^57988+1 17459 gt 98 311c 99*2^57814+1 17406 gd 98 312g 16829*2^57728-1 17383 g23 98 313e 175*2^57676+1 17365 gd 98 314b 165*2^57633+1 17352 g0 98 315 25*2^57488+1 17308 Y 95 316 261*2^57371+1 17273 g23 98 317e 4849845*2^57282+1 17251 g2 98 page 7 318c 285*2^57291+1 17249 g57 98 319 607815*2^57271+1 17247 g8 98 320d 87*2^57222+1 17228 g46 98 321a 975*2^57124+1 17200 gt 98 322e 171*2^57104+1 17193 gd 98 Divides GF(57103,10) 323 261*2^56939+1 17143 g23 98 324 105*2^56903-1 17132 Z 89 325b 435*2^56818+1 17107 gt 98 326 45*2^56754+1 17087 DM 97 327b 441*2^56607+1 17044 gt 98 328e 207*2^56590+1 17038 gt 98 329b 675*2^56534+1 17022 gt 98 330 137*2^56307+1 16953 gk 98 Generalized Cullen 331a 765*2^56028+1 16869 gt 98 332 21*2^55828+1 16808 Y 95 333d 179*2^55711+1 16773 g35 98 334 525*2^55690+1 16768 g2 98 335f 77169*2^55675+1 16765 g5 98 336 111111111*2^55604+1 16747 g2 97 337f 119*2^55583+1 16735 g22 98 338a 986963835*2^55547+1 16731 g22 98 339 24171*2^55555+1 16729 gr 97 340 167*2^55447+1 16694 gk 98 341e 18995*2^55440-1 16694 g2 98 342 249*2^55227+1 16628 Y 98 343 3*2^55182+1 16612 Y 93 Generalized Cullen 344 8423*2^55157+1 16608 BY 88 345b 577294575*2^54973+1 16558 g42 98 346 59*2^54759+1 16486 DM 97 347 7*2^54486+1 16403 Y 87 348c 95*2^54477+1 16402 gd 98 349a 819*2^54405+1 16381 gt 98 350 10^16360+3644463*10^8177+1 16361 D 97 Palindrome 351a 533025*2^54321-1 16358 g56 98 352b 577294575*2^54276+1 16348 g42 98 353 8*R(12600)*10^3705+1 16305 D 97 Most leading 8's 354a 117*2^53827+1 16206 g23 98 355 111121473*2^53713+1 16178 g8 97 356c 2863575*2^53656+1 16159 g42 98 357 10500315*2^53649+1 16157 g5 98 358b 675*2^53612+1 16142 gt 98 359d 239*2^53393+1 16076 gt 98 360c 2863575*2^53244+1 16035 g42 98 361 63017*2^53195+1 16019 Y 97 362g 227*2^53171+1 16009 g14 98 363 13787*2^53135+1 16000 Y 97 364d 12909*2^53118+1 15995 g23 98 365 581263755*2^53033+1 15974 g23 98 366 57*2^52783+1 15892 DM 97 Generalized Cullen 367 91*2^52776+1 15890 g12 98 368 1997*2^52627+1 15846 g2 97 369g 33569*2^52512-1 15813 gk 98 370b 577294575*2^52370+1 15774 g42 98 371 223*2^52358+1 15764 g14 98 372a 1065*2^52346+1 15761 gt 98 373e 105*2^52159+1 15704 g27 98 374e 189*2^52082+1 15681 gd 98 375b 342395*2^51953+1 15645 g56 98 page 8 376f 67*2^51942+1 15638 g36 98 377 111546435*2^51807+1 15604 g5 97 378 10^15550+7410147*10^7772+1 15551 D 97 Palindrome 379 10^15550+7105017*10^7772+1 15551 D 97 Palindrome 380 10^15550+4260624*10^7772+1 15551 D 97 Palindrome 381 10^15550+3698963*10^7772+1 15551 D 97 Palindrome 382 10^15550+1216121*10^7772+1 15551 D 97 Palindrome 383c 1959*2^51387-1 15473 g16 98 384f 3*2^51387-1 15470 g2 98 Generalized Woodall 385d 291*2^51149+1 15400 g52 98 386c 862305*2^51123-1 15396 g2 98 387 160645*2^51098+1 15388 g25 98 388f 111111189*2^50763+1 15290 g5 98 389d 267*2^50778+1 15289 gd 98 390 27*2^50696+1 15263 Y 95 391e 669*2^50646+1 15249 g27 98 392e 6249*2^50593+1 15234 g6 98 393e 425*2^50595+1 15234 g27 98 394 231*2^50573+1 15227 Y 98 395e 477*2^50560+1 15223 g27 98 396c 147*2^50535+1 15215 g44 98 397b 125*2^50491+1 15202 g35 98 398e 1061*2^50485+1 15201 g27 98 399e 417*2^50486+1 15201 g27 98 400e 949*2^50482+1 15200 g27 98 401e 935*2^50447+1 15190 g27 98 402f 1113*2^50413+1 15179 g27 98 403f 1145*2^50343+1 15158 g27 98 404f 1155*2^50337+1 15157 g27 98 405e 955*2^50276+1 15138 g27 98 406 1035*2^50272+1 15137 g5 98 407f 153*2^50237+1 15126 g44 98 408f 795*2^50229+1 15124 g27 98 409f 999*2^50218+1 15121 g27 98 410d 131*2^50169+1 15105 MC 98 411b 6229935*2^50145+1 15102 F 98 412b 6079749*2^50145+1 15102 F 98 413b 12071445*2^50144+1 15102 F 98 414 5599869*2^50145+1 15102 F 97 415 5501295*2^50145+1 15102 F 97 416 5242275*2^50145+1 15102 F 97 417 9356925*2^50144+1 15102 F 97 418 8619867*2^50144+1 15102 F 97 419 8372853*2^50144+1 15102 F 97 420 1896573*2^50146+1 15102 F 97 421 6835863*2^50144+1 15102 F 96 422 1562295*2^50146+1 15102 F 96 423 1531395*2^50146+1 15102 F 96 424 5397777*2^50144+1 15102 F 96 425 293325*2^50148+1 15102 F 96 426 577791*2^50147+1 15102 F 96 427 435039*2^50147+1 15102 F 96 428 3175725*2^50144+1 15102 F 96 429 2937297*2^50144+1 15102 F 96 430 801435*2^50145+1 15102 F 96 431 324357*2^50146+1 15101 F 96 432 1014555*2^50144+1 15101 F 96 433f 1057*2^50132+1 15095 g27 98 page 9 434f 933*2^50088+1 15081 g27 98 435g 889*2^50030+1 15064 g27 98 436 129*2^50019+1 15060 g30 98 437b 9872685*2^50001+1 15059 g56 98 438 1828401*2^50003+1 15059 g2 98 439 1548879*2^50003+1 15059 g2 98 440 1505661*2^50003+1 15059 g2 98 441 5297*2^50011+1 15059 Y 97 442g 967*2^50012+1 15059 g27 98 443 337929*2^50003+1 15058 g2 97 444e 140097*2^50000+1 15057 g34 98 445e 131733*2^50000+1 15057 g34 98 446e 118957*2^50000+1 15057 g34 98 447 62481*2^49999+1 15056 g12 97 448 6994......5111 15053 PM 98 Cyclotomy 449 134088*10^15030+1 15036 D 94 450 4305*2^49915+1 15030 g13 97 451 16397*2^49911+1 15029 g13 97 452 3281*2^49911+1 15029 g13 97 453 9*2^49902+1 15023 Y 93 454 111*2^49816+1 14999 DM 97 455 105*2^49814+1 14998 DM 97 456a 4095*2^49729+1 14974 g33 98 457e 169*2^49602+1 14934 D 98 458b 82987*2^49489-1 14903 gk 98 459f 249*2^49383+1 14869 g35 98 460c 2863575*2^49325+1 14855 g42 98 461a 1095*2^49185+1 14810 gt 98 462f 2283*2^49124+1 14792 g5 98 463c 165*2^49095+1 14782 g0 98 Divides Fermat F(49093) 464b 1999*2^48843-1 14707 g5 98 465b 471*2^48795+1 14692 gt 98 466 827972155*2^48678+1 14663 g23 98 467f 982451737*2^48666+1 14659 g15 98 468 49*2^48666+1 14652 Y 95 469d 267*2^48634+1 14643 gd 98 470 314159265*2^48597+1 14638 g2 97 471 45*2^48612+1 14636 Y 95 472e 12909*2^48557+1 14622 g23 98 473d 255*2^48509+1 14606 g17 98 474 15*2^48444+1 14585 Y 95 475f 982451737*2^48150+1 14504 g15 98 476 3*2^48150+1 14496 Y 93 Generalized Cullen 477d 267*2^48134+1 14493 gd 98 478d 271*2^48100+1 14482 g25 98 479 150345195*2^48045+1 14472 g5 97 480 8195325*2^48042+1 14469 DS 98 481 8122959*2^48021+1 14463 DS 98 482 8140023*2^48014+1 14461 DS 98 483 8168673*2^48012+1 14460 DS 98 484 8113875*2^48003+1 14458 DS 98 485 99*2^47985+1 14447 DM 97 486d 255*2^47916+1 14427 g17 98 487 229*2^47878+1 14416 DM 96 488 33*2^47805+1 14393 Y 95 489 337*2^47800+1 14392 DM 96 490b 159*2^47795-1 14390 g54 98 491 111*2^47783+1 14387 DM 97 page 10 492b 1999*2^47673-1 14355 g5 98 493c 21366411*2^47561+1 14325 g0 98 494c 20716791*2^47561+1 14325 g0 98 495c 20230335*2^47561+1 14325 g0 98 496d 19157499*2^47561+1 14325 g0 98 497d 18630279*2^47561+1 14325 g0 98 498d 18368055*2^47561+1 14325 g0 98 499d 16823829*2^47561+1 14325 g0 98 500d 16635879*2^47561+1 14325 g0 98 501d 16564629*2^47561+1 14325 g0 98 502e 15742665*2^47561+1 14325 g0 98 503e 15438591*2^47561+1 14325 g0 98 504e 15089301*2^47561+1 14325 g0 98 505e 14918589*2^47561+1 14325 g0 98 506e 14443029*2^47561+1 14325 g0 98 507e 14170191*2^47561+1 14325 g0 98 508e 13304535*2^47561+1 14325 g0 98 509e 11872035*2^47561+1 14325 g0 98 510e 11633625*2^47561+1 14325 g0 98 511e 11274771*2^47561+1 14325 g0 98 512f 10528629*2^47561+1 14325 g0 98 513f 10453605*2^47561+1 14325 g0 98 514f 9478281*2^47561+1 14325 g0 98 515f 9410079*2^47561+1 14325 g0 98 516g 7648281*2^47561+1 14325 g0 98 517g 7550091*2^47561+1 14325 g0 98 518g 7446075*2^47561+1 14325 g0 98 519g 6840291*2^47561+1 14325 g0 98 520 5597151*2^47561+1 14325 g0 98 521 3618195*2^47561+1 14324 g0 98 522 3078375*2^47561+1 14324 g0 98 523 2200605*2^47561+1 14324 g0 98 524 2198199*2^47561+1 14324 g0 98 525 57429*2^47561+1 14323 g0 97 526c 1953*2^47407-1 14275 g16 98 527 21*2^47337+1 14252 Y 95 528d 267*2^47318+1 14247 gd 98 529a 843*2^47300+1 14242 gt 98 530 6561*2^47273+1 14235 g2 97 531 150345195*2^47190+1 14214 g5 97 532a 986963835*2^47010+1 14161 g22 98 533 9*2^47003+1 14151 Y 93 534 100046745*2^46745+1 14080 g2 97 535e 207*2^46666+1 14051 gt 98 537a 22932195*2^46595-1 14034 g42 98 538 80602*10^14013+1 14018 D 94 539 39*2^46362+1 13958 Y 95 540 223*2^46322+1 13947 g14 98 541 10^13930+6196916*10^6962+1 13931 D 97 Palindrome 542 581263755*2^46238+1 13928 g23 98 543e 235*2^46022+1 13857 g41 98 544c 2863575*2^45913+1 13828 g42 98 545f 111111183*2^45842+1 13808 g5 98 546b 577294575*2^45716+1 13771 g42 98 547e 175*2^45736+1 13771 gd 98 548 111111111*2^45712+1 13769 g2 97 549 151308633*2^45678+1 13759 g2 98 550 151268457*2^45678+1 13759 g2 98 page 11 551 150905295*2^45678+1 13759 g2 98 552 150768657*2^45678+1 13759 g2 98 553e 150839919*2^45677+1 13759 g2 98 554 701655*2^45678+1 13757 g2 98 555 437643*2^45678+1 13757 g2 97 556b 315*2^45670+1 13751 gt 98 557 300000003*2^45597+1 13735 g2 97 558 51*2^45541+1 13711 Y 95 559 23775*2^45486+1 13698 g12 97 560 83*2^45473+1 13691 DM 97 561 57*2^45435+1 13680 Y 95 562 129*2^45395-1 13668 Z 89 563c 165*2^45387+1 13666 g0 98 564a 14614!!!!+1 13632 CK 98 Multifactorial plus one 565 65*2^45029+1 13557 DM 97 566e 199*2^44942+1 13532 gd 98 567c 2863575*2^44813+1 13497 g42 98 568b 86833*2^44747-1 13476 gk 98 569e 199*2^44702+1 13459 gd 98 570 3755*2^44685+1 13456 g13 97 571 3*2^44685+1 13453 Y 93 . Divides GF(44684,10) [D], generalized Cullen 572c 2863575*2^44509+1 13406 g42 98 573 2^44497-1 13395 SN 79 Mersenne 27 574 3033247*2^44444+1 13386 gr 97 575 1329885*2^44444+1 13386 gr 97 576 1027657*2^44444+1 13385 gr 97 577 216847*2^44444+1 13385 gr 97 578c 165*2^44442+1 13381 g0 98 579a 994218225*2^44383+1 13370 g52 98 580 181*2^44392+1 13366 g2 97 581e 235*2^44252+1 13324 g41 98 582 63*2^44198-1 13307 Z 89 583 105*2^44194+1 13306 DM 97 584 27*2^44164+1 13297 Y 95 585 105*2^44090+1 13275 DM 97 586d 159*2^44079+1 13272 g54 98 587a 986963835*2^44045+1 13268 g22 98 588 9394083*2^44032+1 13262 F 96 589 8136843*2^44032+1 13262 F 96 590 7411923*2^44032+1 13262 F 96 591 7156485*2^44032+1 13262 F 96 592 2632455*2^44032+1 13262 F 95 593 1686483*2^44032+1 13262 F 95 594 9*2^43963+1 13236 Y 94 595 13*2^43856+1 13204 Y 93 596 32161*2^43796+1 13189 BY 88 597 227*2^43719+1 13164 g14 98 598 105*2^43718+1 13163 DM 97 599f 121550625*2^43684+1 13159 g2 98 600b 315*2^43624+1 13135 gt 98 601e 12909*2^43603+1 13130 g23 98 602b 22932195*2^43570-1 13124 g42 98 603d 1995*2^43564-1 13118 g16 98 604d 1955*2^43552-1 13114 g16 98 605c 16769025*2^43512+1 13106 g2 98 606 117*2^43504+1 13099 DM 97 607 6252717*2^43476+1 13095 g2 97 page 12 608 4*R(10200)*10^2894+1 13094 D 96 Most leading 4's 609 2277*10^13089+1 13093 D 93 610 141*2^43477+1 13091 g1 98 611 581263755*2^43400+1 13074 g23 98 612g 87*2^43406+1 13069 g27 98 613 15*2^43388+1 13063 Y 95 Divides GF(43379,6) [BR] 614 1534^4096+1 13050 D 94 Generalized Fermat 615 432711*2^43271+1 13032 g2 97 616b 287235*2^43208+1 13013 g10 98 617a 387153*2^43206+1 13012 g10 98 618g 50337*2^43208+1 13012 g10 98 619g 59325*2^43206+1 13012 g10 98 620a 306009*2^43203+1 13011 g10 98 621g 94185*2^43204+1 13011 g10 98 622a 313185*2^43201+1 13011 g10 98 623b 129135*2^43202+1 13011 g10 98 624 77899*2^43194+1 13008 BY 88 625a 10830!!!+1 13000 CK 98 Multifactorial plus one 626 107*2^43123+1 12984 DM 97 627b 577294575*2^43100+1 12984 g42 98 628 7*R(12600)*10^381+1 12981 D 97 Most leading 7's 629 314159265*2^43037+1 12964 g2 97 630e 1521*2^43051+1 12963 g6 98 631 121330191*2^42989+1 12950 g5 98 632 28539*2^42965+1 12939 Y 93 633 982451653*2^42940+1 12936 g15 97 634 50625*2^42861+1 12908 g2 97 635 111111111*2^42832+1 12902 g2 97 636e 237*2^42739+1 12869 gt 98 637e 205*2^42714+1 12861 gt 98 638 33*2^42685+1 12851 Y 95 639 3*2^42665+1 12844 Y 93 Divides GF(42663,12) [D] 640 100042619*2^42619+1 12838 g2 97 641b 363*2^42422+1 12773 gt 98 642 3*2^42294+1 12733 Y 93 Generalized Cullen 643 286167*2^42222+1 12716 g8 98 644 261*2^42201+1 12707 g23 98 645a 975*2^42189+1 12704 gt 98 646 16817*2^42155+1 12695 BY 88 647 14031993*2^42140+1 12693 SP 98 648d 26715*2^42110+1 12681 g2 98 649b 135*2^42099+1 12676 g64 98 650b 69903*2^42086+1 12674 g2 98 651a 76125*2^42082+1 12673 g2 98 652e 6825*2^42083+1 12673 g2 98 653c 40899*2^42073+1 12670 g2 98 654e 199*2^42078+1 12670 gd 98 655 5*R(12600)*10^68+1 12668 D 97 Most leading 5's 656e 12555*2^42059+1 12666 g2 98 657c 56097*2^42044+1 12662 g2 98 658b 73833*2^42036+1 12659 g2 98 659e 17673*2^42036+1 12659 g2 98 660c 54255*2^42034+1 12659 g2 98 661 105*2^42041+1 12658 DM 97 662e 14919*2^42031+1 12657 g2 98 663c 2863575*2^42006+1 12652 g42 98 664c 32019*2^42011+1 12652 g2 98 665b 73449*2^42007+1 12651 g2 98 page 13 666d 31515*2^42001+1 12649 g2 98 667f 3719*2^41981+1 12642 g5 98 668c 7*2^41957-1 12632 gk 98 669e 251*2^41945+1 12630 g35 98 670c 5*2^41934-1 12625 gk 98 671 261*2^41868+1 12606 g23 98 672g 123*2^41852+1 12601 g10 98 673 147*2^41851+1 12601 g1 98 674 18026162080*R(12600)/R(10)+1 12601 D 97 Palindrome 675 17040604070*R(12600)/R(10)+1 12601 D 97 Palindrome 676 16002520060*R(12600)/R(10)+1 12601 D 97 Palindrome 677 128303820*R(12600)/R(8)+1 12601 D 97 Palindrome 678 2*R(10200)*10^2396+1 12596 D 96 Most leading 2's 679b 135*2^41826+1 12594 g64 98 680 2025*2^41740+1 12569 g2 97 681 581263755*2^41715+1 12567 g23 98 682f 3*2^41628-1 12532 g2 98 Generalized Woodall 683b 577294575*2^41483+1 12497 g42 98 684d 20747*4^20747-1 12496 g2 98 Generalized Woodall 685d 287*2^41459+1 12483 g42 98 686c 38061*2^41437+1 12479 g37 98 687 328575*2^41403+1 12470 SP 98 688 105*2^41361+1 12453 DM 97 689d 1967*2^41356-1 12453 g16 98 690 21417*2^41352+1 12453 g9 97 691 4596993*2^41344+1 12453 g9 97 692 1071705*2^41346+1 12453 g9 97 693 4093845*2^41344+1 12453 g9 97 694 240933*2^41348+1 12453 g9 97 695 1735791*2^41345+1 12453 g9 97 696 3144255*2^41344+1 12453 g9 97 697 2507253*2^41344+1 12453 g9 97 698 246405*2^41347+1 12453 g9 97 699 30057*2^41350+1 12453 g9 97 700 425763*2^41346+1 12453 g9 97 701 1645923*2^41344+1 12453 g9 97 702 1377405*2^41344+1 12452 g9 97 703 1005003*2^41344+1 12452 g9 97 704b 214929*2^41345+1 12452 F 98 705b 171525*2^41345+1 12452 F 98 706b 4455*2^41346+1 12451 F 98 707 966501*2^41313+1 12443 g8 98 708 714129*2^41313+1 12443 g8 98 709 150345195*2^41274+1 12433 g5 97 710 119*2^41291+1 12432 DM 97 711 10^12420+1956591*10^6207+1 12421 D 97 Palindrome 712e 207*2^41218+1 12411 gt 98 713g 123*2^41213+1 12409 g10 98 714f 4765*2^41160+1 12395 g34 98 715e 4095*2^41144+1 12390 g33 98 716 177*2^41148+1 12390 g23 98 717f 11295*2^41125+1 12384 g34 98 718a 34395135*2^41113+1 12384 g56 98 719 8191*2^41124+1 12384 MC 97 720g 182175*2^41112+1 12382 g20 98 721 3*R(10080)*10^2286+1 12366 D 96 Most leading 3's 722b 98830869*2^41043+1 12364 g2 98 723b 98281131*2^41043+1 12364 g2 98 page 14 724b 98055765*2^41043+1 12364 g2 98 725b 97108449*2^41043+1 12364 g2 98 726c 96655545*2^41043+1 12364 g2 98 727c 96344481*2^41043+1 12364 g2 98 728c 96184449*2^41043+1 12364 g2 98 729c 96071055*2^41043+1 12364 g2 98 730e 94153455*2^41043+1 12364 g2 98 731e 94026909*2^41043+1 12364 g2 98 732e 93584445*2^41043+1 12364 g2 98 733e 93569781*2^41043+1 12364 g2 98 734f 92372061*2^41043+1 12364 g2 98 735g 91178811*2^41043+1 12364 g2 98 736g 91090305*2^41043+1 12364 g2 98 737g 90838101*2^41043+1 12364 g2 98 738g 90667965*2^41043+1 12364 g2 98 739g 90230901*2^41043+1 12364 g2 98 740g 89860011*2^41043+1 12364 g2 98 741g 89391951*2^41043+1 12364 g2 98 742g 88922589*2^41043+1 12364 g2 98 743 88061811*2^41043+1 12364 g2 98 744 86921301*2^41043+1 12364 g2 98 745 86681259*2^41043+1 12364 g2 98 746 86295459*2^41043+1 12364 g2 98 747 85884621*2^41043+1 12364 g2 98 748 84427695*2^41043+1 12364 g2 98 749a 6492579*2^41043+1 12362 g2 98 750a 6438849*2^41043+1 12362 g2 98 751a 5971215*2^41043+1 12362 g2 98 752b 5047131*2^41043+1 12362 g2 98 753f 2330655*2^41044+1 12362 g2 98 754b 9313473*2^41042+1 12362 g2 98 755b 8331627*2^41042+1 12362 g2 98 756g 1940637*2^41044+1 12362 g2 98 757c 7398093*2^41042+1 12362 g2 98 758c 6777945*2^41042+1 12362 g2 98 759b 2831589*2^41043+1 12362 g2 98 760b 2792295*2^41043+1 12362 g2 98 761b 2786481*2^41043+1 12362 g2 98 762e 5168997*2^41042+1 12362 g2 98 763e 4889787*2^41042+1 12362 g2 98 764b 2397591*2^41043+1 12362 g2 98 765b 2393325*2^41043+1 12362 g2 98 766e 4647693*2^41042+1 12362 g2 98 767a 8833629*2^41041+1 12362 g2 98 768f 4346187*2^41042+1 12362 g2 98 769b 8601915*2^41041+1 12362 g2 98 770b 7348839*2^41041+1 12362 g2 98 771c 1821495*2^41043+1 12362 g2 98 772f 3528897*2^41042+1 12362 g2 98 773b 6860505*2^41041+1 12362 g2 98 774b 6746805*2^41041+1 12362 g2 98 775b 6658689*2^41041+1 12362 g2 98 776c 5146689*2^41041+1 12362 g2 98 777g 615225*2^41044+1 12362 g2 98 778c 4801425*2^41041+1 12362 g2 98 779c 4646301*2^41041+1 12362 g2 98 780e 2439159*2^41041+1 12361 g2 98 781f 2231061*2^41041+1 12361 g2 98 page 15 782f 1936209*2^41041+1 12361 g2 98 783g 887943*2^41042+1 12361 g2 98 784c 411675*2^41043+1 12361 g2 98 785f 1597065*2^41041+1 12361 g2 98 786f 1462329*2^41041+1 12361 g2 98 787f 772269*2^41041+1 12361 g2 98 788 352983*2^41042+1 12361 g2 98 789g 237203*2^41041+1 12360 g2 98 790 209025*2^41041+1 12360 g2 98 791 188091*2^41041+1 12360 g2 98 792 156795*2^41041+1 12360 g2 98 793 113295*2^41041+1 12360 g2 98 794 108779*2^41041+1 12360 g2 98 795b 14715*2^41014+1 12351 g24 98 796b 7455*2^41014+1 12351 g24 98 797 315*2^41000+1 12345 g18 97 798 6151*2^40960+1 12334 g6 97 799 95*2^40937+1 12326 gd 98 Divides GF(40936,6) 800 165*2^40901-1 12315 Z 89 801 581263755*2^40853+1 12307 g23 98 802f 163*2^40746+1 12268 g35 98 803 6*R(10200)*10^2057+1 12257 D 96 Most leading 6's 804 69*2^40691+1 12252 DM 97 Divides GF(40687,6) [g0] 805 14027*2^40639+1 12238 BY 88 806d 267*2^40642+1 12237 gd 98 807b 22932195*2^40586-1 12225 g42 98 808 R(10080)*10^2136+1 12216 D 96 Most leading 1's 809 115*2^40548+1 12209 DM 97 810c 2863575*2^40504+1 12200 g42 98 811g 57311*2^40498-1 12196 gk 98 812c 986963835*2^40438+1 12183 g22 98 813e 299*2^40455+1 12181 g29 98 814f 2182111*2^40408+1 12171 g40 98 815g 3817*2^40381-1 12160 g1 98 816b 5008479*2^40369+1 12159 F 98 817b 9652965*2^40368+1 12159 F 98 818b 4610745*2^40369+1 12159 F 98 819b 9154173*2^40368+1 12159 F 98 820b 4308849*2^40369+1 12159 F 98 821b 937521*2^40371+1 12159 F 98 822b 465465*2^40372+1 12159 F 98 823b 223551*2^40373+1 12159 F 98 824b 5487417*2^40368+1 12159 F 98 825b 5265747*2^40368+1 12159 F 98 826b 4967427*2^40368+1 12159 F 98 827b 4286163*2^40368+1 12159 F 98 828b 2015445*2^40369+1 12159 F 98 829b 3531357*2^40368+1 12159 F 98 830b 1471605*2^40369+1 12159 F 98 831b 1318191*2^40369+1 12159 F 98 832b 2541303*2^40368+1 12159 F 98 833b 1234479*2^40369+1 12159 F 98 834b 1442607*2^40368+1 12159 F 98 835b 1190943*2^40368+1 12159 F 98 836b 1037523*2^40368+1 12158 F 98 837b 280449*2^40369+1 12158 F 98 838b 42711*2^40371+1 12158 F 98 839 45945*2^40353+1 12153 g14 97 page 16 840 4869915*2^40312+1 12142 g0 98 841 3951963*2^40312+1 12142 g0 98 842 3604383*2^40312+1 12142 g0 98 843 1376775*2^40312+1 12142 g0 97 844 1056747*2^40312+1 12142 g0 97 845 907065*2^40312+1 12142 g0 97 846 11321*2^40315+1 12141 g1 97 847 3971*2^40313+1 12140 g1 97 848f 64387*2^40249-1 12121 gk 98 849e 203*2^40189+1 12101 gt 98 850b 3129129*2^40161+1 12097 F 98 851b 6158145*2^40160+1 12097 F 98 852b 1409085*2^40162+1 12097 F 98 853b 5115753*2^40160+1 12097 F 98 854b 1209795*2^40162+1 12097 F 98 855b 595251*2^40163+1 12097 F 98 856b 4432833*2^40160+1 12097 F 98 857b 2127051*2^40161+1 12096 F 98 858b 1817721*2^40161+1 12096 F 98 859b 3615573*2^40160+1 12096 F 98 860b 793575*2^40162+1 12096 F 98 861b 2363385*2^40160+1 12096 F 98 862b 787131*2^40161+1 12096 F 98 863b 764181*2^40161+1 12096 F 98 864b 1461753*2^40160+1 12096 F 98 865b 1357227*2^40160+1 12096 F 98 866 26184*10^12091+1 12096 D 93 867b 495759*2^40161+1 12096 F 98 868b 117123*2^40160+1 12095 F 98 869b 13025097*2^40144+1 12092 F 98 870 12539865*2^40144+1 12092 F 97 871 11550813*2^40144+1 12092 F 97 872 11496093*2^40144+1 12092 F 97 873 11039163*2^40144+1 12092 F 97 874 10767003*2^40144+1 12092 F 97 875 2548473*2^40146+1 12092 F 97 876 4891575*2^40145+1 12092 F 97 877 4802199*2^40145+1 12092 F 97 878 4248075*2^40145+1 12092 F 97 879 8295303*2^40144+1 12092 F 96 880 2029347*2^40146+1 12092 F 96 881 2017353*2^40146+1 12092 F 96 882 7881057*2^40144+1 12092 F 96 883 6794073*2^40144+1 12092 F 96 884 838419*2^40147+1 12092 F 96 885 6280857*2^40144+1 12092 F 96 886 2368359*2^40145+1 12092 F 96 887 4187877*2^40144+1 12092 F 96 888 1581129*2^40145+1 12092 F 96 889 2586183*2^40144+1 12091 F 96 890 1272375*2^40145+1 12091 F 96 891 2221983*2^40144+1 12091 F 96 892 2027517*2^40144+1 12091 F 96 893 1546365*2^40144+1 12091 F 96 894 1442985*2^40144+1 12091 F 96 895 624621*2^40145+1 12091 F 96 896 174279*2^40145+1 12091 F 96 897 298863*2^40144+1 12091 F 96 page 17 898 32715*2^40146+1 12090 F 96 899c 986963835*2^40108+1 12083 g22 98 900e 211*2^40036+1 12055 g42 98 901 100024979*2^40003+1 12051 g8 97 902 333334719*2^40001+1 12051 g8 97 903f 43497*2^40004+1 12048 g31 98 904 77943*2^40000+1 12047 g29 98 905 8653*2^40000+1 12046 g10 97 906g 123*2^39992+1 12041 g10 98 907 69*2^39983-1 12038 Z 89 908f 3717*2^39942+1 12028 g5 98 909d 265*2^39934+1 12024 gd 98 910 223*2^39866+1 12004 g14 98 911e 195*2^39826+1 11992 g23 98 912 81*2^39804+1 11985 DM 97 913b 318599*2^39791+1 11984 g28 98 914g 247*2^39794+1 11982 g35 98 915f 319295*2^39777+1 11980 g28 98 916e 12909*2^39774+1 11978 g23 98 917 318459*2^39761+1 11975 g28 98 918c 496647*2^39710+1 11960 g2 98 919d 378495*2^39709+1 11960 g2 98 920f 17889*2^39713+1 11960 g2 98 921c 559185*2^39708+1 11960 g2 98 922c 520683*2^39708+1 11960 g2 98 923c 421113*2^39708+1 11959 g2 98 924f 102801*2^39709+1 11959 g2 98 925b 622035*2^39706+1 11959 g2 98 926f 177351*2^39707+1 11959 g2 98 927c 549315*2^39705+1 11959 g2 98 928f 42177*2^39708+1 11958 g2 98 929b 631665*2^39703+1 11958 g2 98 930c 548589*2^39703+1 11958 g2 98 931e 328419*2^39703+1 11958 g2 98 932f 136095*2^39704+1 11958 g2 98 933g 1263*2^39710+1 11958 g2 98 934e 311337*2^39702+1 11957 g2 98 935b 871233*2^39700+1 11957 g2 98 936b 720705*2^39700+1 11957 g2 98 937c 659073*2^39700+1 11957 g2 98 938g 751*2^39708+1 11957 g2 98 939e 30015*2^39694+1 11954 g2 98 940a 777*2^39676+1 11947 gt 98 941g 179*2^39665+1 11943 g35 98 942 77*2^39639+1 11935 DM 97 943 111111111*2^39587+1 11925 g2 97 944 148065551*2^39567+1 11920 g5 98 945e 127*2^39545-1 11907 gk 98 946e 239*2^39487+1 11890 gt 98 947 611*2^39407+1 11866 g2 98 948 129*2^39399+1 11863 g30 98 949 927549*2^39311+1 11840 g8 98 950 592131*2^39311+1 11840 g8 98 951 301431*2^39311+1 11840 g8 98 952 200379*2^39311+1 11840 g8 98 953 33921*2^39311+1 11839 g8 98 954 10^11810+1465641*10^5902+1 11811 D 94 Palindrome 955c 16769025*2^39172+1 11800 g2 98 page 18 956 9*2^39186+1 11798 D 92 Generalized Cullen 957b 191*2^39155+1 11790 g23 98 Generalized Cullen 958 447*2^39139+1 11785 gr 97 959b 874083*2^39016+1 11751 g23 98 960b 555051*2^39015+1 11751 g23 98 961c 835335*2^39014+1 11751 g23 98 Twin 962c 835335*2^39014-1 11751 g23 98 Twin 963b 201243*2^39016+1 11751 g23 98 964c 945945*2^39013+1 11751 g23 98 965c 225729*2^39015+1 11751 g23 98 966c 367125*2^39014+1 11750 g23 98 967c 617475*2^39013+1 11750 g23 98 968c 290895*2^39014+1 11750 g23 98 969c 308181*2^39013+1 11750 g23 98 970c 27681*2^39015+1 11750 g23 98 971c 187233*2^39012+1 11750 g23 98 972c 233265*2^39011+1 11749 g23 98 973c 683049*2^39009+1 11749 g23 98 974c 960489*2^39007+1 11749 g23 98 975c 409947*2^39008+1 11749 g23 98 976c 240465*2^39008+1 11748 g23 98 977c 430311*2^39007+1 11748 g23 98 978c 41385*2^39008+1 11748 g23 98 979c 31731*2^39007+1 11747 g23 98 980c 379005*2^39003+1 11747 g23 98 981c 359235*2^39003+1 11747 g23 98 982 292137*2^38998+1 11746 g14 98 983 72675*2^38998+1 11745 g14 98 984 242206083*2^38880+1 11713 IJ 95 Twin 985 242206083*2^38880-1 11713 IJ 95 Twin 986a 765*2^38824+1 11691 gt 98 987d 267*2^38796+1 11682 gd 98 988 27*2^38770+1 11673 D 93 989f 155*2^38761+1 11671 g41 98 990b 1999*2^38739-1 11665 g5 98 991a 6285*2^38705-1 11656 g23 98 992f 111111183*2^38676+1 11651 g5 98 993e 681*2^38587-1 11619 g27 98 994 111111111*2^38564+1 11617 g2 97 995 36983*2^38573+1 11617 BY 87 996f 1029*2^38527-1 11601 g27 98 997 9*R(10080)*10^1506+1 11586 D 96 Most leading 9's (tie) 998a 8475*2^38468-1 11584 g23 98 999 45*2^38457+1 11579 Y 95 1000b 741*2^38449+1 11578 gt 98 1001e 237*2^38434+1 11573 gt 98 1002 93*2^38288+1 11528 DM 97 1003b 759*2^38195+1 11501 gt 98 1004f 4765*2^38182+1 11498 g34 98 1005a 7125*2^38170-1 11495 g23 98 1006c 10097*2^38055+1 11460 g42 98 1007b 191*2^38029+1 11451 g23 98 1008 13*2^38008+1 11443 D 92 Divides GF(38005,10) [D] 1009 252047611*2^37968+1 11438 g2 97 1010 220797*2^37782+1 11379 g8 98 1011b 295*2^37788+1 11378 g50 98 1012e 121*2^37784+1 11377 gk 98 1013a 245*2^37773+1 11374 g71 98 page 19 1014 3855843*2^37752+1 11372 g8 98 1015 3417927*2^37752+1 11372 g8 98 1016 3360087*2^37752+1 11372 g8 98 1017 3227193*2^37752+1 11371 g8 98 1018 2834673*2^37752+1 11371 g8 98 1019 190515*2^37752+1 11370 g8 98 1020 1663515*2^37719+1 11361 g8 97 1021 1295121*2^37719+1 11361 g8 97 1022 207681*2^37719+1 11360 g8 97 1023 29421*2^37717+1 11359 g8 97 1024 21291*2^37717+1 11359 g8 97 1025 12461*2^37717+1 11359 g8 97 1026 177*2^37702+1 11352 g23 98 1027 8*10^11336-1 11337 D 94 . Most ending 9's, generalized Woodall 1028 3949155*2^37611+1 11329 g2 98 1029 10^11310+4661664*10^5652+1 11311 D 91 Palindrome 1030e 189*2^37518+1 11297 gd 98 1031b 315*2^37467+1 11282 gt 98 1032 14577*2^37451+1 11279 g27 98 1033 3610!-1 11277 C 93 Factorial minus one 1034 11229*2^37447+1 11277 g27 98 1035 5125*2^37448+1 11277 g27 98 1036 8253*2^37446+1 11277 g27 98 1037 11069*2^37445+1 11277 g27 98 1038 7869*2^37445+1 11276 g27 98 1039 3981*2^37443+1 11276 g27 98 1040g 12567*2^37439+1 11275 g27 98 1041 3045*2^37441+1 11275 g27 98 1042 1815*2^37441+1 11275 g27 98 1043g 10269*2^37438+1 11274 g27 98 1044g 9329*2^37437+1 11274 g27 98 1045g 1267*2^37436+1 11273 g27 98 1046g 15965*2^37431+1 11273 g27 98 1047 9629*2^37429+1 11272 g27 98 1048 1319*2^37431+1 11271 g27 98 1049 849*2^37429+1 11271 g27 98 1050 2967*2^37427+1 11271 g27 98 1051 1031*2^37427+1 11270 g27 98 1052 697*2^37424+1 11269 g27 98 1053 39*2^37393+1 11259 Y 95 1054 33*2^37249+1 11215 Y 93 Divides GF(37247,6) [BR] 1055 81*2^37169+1 11191 DM 97 1056 5979*2^37159+1 11190 Y 93 1057a 65535*2^37124+1 11181 g2 98 1058f 77169*2^37117+1 11179 g5 98 1059e 189*2^37033+1 11151 gd 98 1060 9*10^11143-1 11144 D 94 1061a 994218225*2^36962+1 11136 g52 98 1062 53941*2^36944+1 11126 BY 87 1063 123108*10^11111+1 11117 D 93 1064 113946*10^11111-1 11117 D 93 1065c 16769025*2^36847+1 11100 g2 98 1066 8*R(10080)*10^1003+1 11083 D 96 1067e 2047*2^36804+1 11083 MC 98 1068 225*2^36744+1 11064 g14 98 1069e 231*2^36717+1 11056 g23 98 1070c 285*2^36703+1 11052 g57 98 page 20 1071c 16769025*2^36580+1 11019 g2 98 1072 365631*2^36563+1 11013 g2 97 1073 10^11010+3242423*10^5502+1 11011 D 94 Palindrome 1074 95*2^36559+1 11008 DM 97 1075 9*R(10080)*10^851+1 10931 D 96 Most leading 9's (tie) 1076e 171*2^36261+1 10918 gd 98 1077 12*R(6910)*(1311*10^4001+1)+1 10915 D 97 Most ending 3's 1078 3507!-1 10912 C 92 Factorial minus one 1079a 137792655*2^36183+1 10901 g52 98 1080c 2863575*2^36150+1 10889 g42 98 1081 73*2^36156+1 10886 DM 97 1082a 3345*2^36136-1 10882 g23 98 1083b 555*2^36085+1 10866 gt 98 1084 200944^2048+1 10861 D 92 Generalized Fermat 1085b 342397*2^36022+1 10850 g56 98 1086b 22932195*2^36005-1 10846 g42 98 1087 75*2^36015+1 10844 DM 97 1088b 3377*2^36000-1 10841 g56 98 1089 9780......3579 10839 PM 97 1090e 193*2^35998+1 10839 g23 98 1091a 4275*2^35951-1 10826 g23 98 1092 27*2^35942-1 10822 Z 89 1093 336063481*2^35712+1 10759 g2 97 1094b 609*2^35677+1 10743 gt 98 1095g 249*2^35675+1 10742 g35 98 1096 9*2^35647-1 10732 Z 89 1097 1299453*2^35624+1 10731 g16 97 1098e 205*2^35622+1 10726 gt 98 1099 69999*2^35558+1 10709 g23 98 1100e 255*2^35558+1 10707 MC 98 1101c 18765*2^35484+1 10687 g34 98 1102d 1965*2^35418-1 10666 g16 98 1103a 154339185*2^35398-1 10665 g42 98 1104 6561*2^35317+1 10636 g2 97 1105b 447*2^35302+1 10630 gt 98 1106 217*2^35296+1 10628 g23 98 1107 140359*2^35278+1 10625 SP 97 1108e 231*2^35271+1 10620 g23 98 1109 581163765*2^35245+1 10619 g23 98 1110a 65535*2^35235+1 10612 g2 98 1111b 22932195*2^35224-1 10611 g42 98 1112 81*2^35229+1 10607 DM 97 1113g 4095*2^35206+1 10602 g33 98 1114c 303*2^35137+1 10580 g27 98 1115c 591*2^35127+1 10578 g27 98 1116 370965*2^35112+1 10576 g8 98 1117c 393*2^35098+1 10569 g27 98 1118c 723*2^35040+1 10551 g27 98 1119b 18169887*2^35018+1 10549 g56 98 1120b 16048159*2^35018+1 10549 g56 98 1121e 131*2^35017+1 10544 MC 98 1122a 1902447*2^35000+1 10543 g19 98 1123a 1881555*2^35000+1 10543 g19 98 1124b 1862391*2^35000+1 10543 g19 98 1125b 1858521*2^35000+1 10543 g19 98 1126c 1786005*2^35000+1 10543 g19 98 1127c 1784181*2^35000+1 10543 g19 98 1128c 1766815*2^35000+1 10543 g19 98 page 21 1129c 1763433*2^35000+1 10543 g19 98 1130c 1725223*2^35000+1 10543 g19 98 1131d 1694431*2^35000+1 10543 g19 98 1132d 1682451*2^35000+1 10543 g19 98 1133e 1634025*2^35000+1 10543 g19 98 1134g 1587313*2^35000+1 10543 g19 98 1135 1527213*2^35000+1 10543 g19 98 1136 1507621*2^35000+1 10543 g19 98 1137 1500073*2^35000+1 10543 g19 98 1138 1375737*2^35000+1 10543 g8 97 1139 1153407*2^35000+1 10543 g8 97 1140 1021467*2^35000+1 10543 g8 97 1141 809805*2^35000+1 10542 g8 97 1142g 52215*2^35000+1 10541 g34 98 1143g 23191*2^35000+1 10541 g34 98 1144g 22113*2^35000+1 10541 g34 98 1145b 247743*2^34966+1 10532 g62 98 1146b 1999*2^34959-1 10528 g5 98 1147b 22932195*2^34943-1 10527 g42 98 1148d 711*2^34933+1 10519 g27 98 1149e 229*2^34926+1 10517 g23 98 1150 111867*2^34890+1 10508 Y 93 1151d 7*2^34857-1 10494 gk 98 1152d 337*2^34826+1 10487 g27 98 1153f 111111183*2^34769+1 10475 g5 98 1154d 101001*2^34771+1 10473 g13 98 1155 207*2^34770+1 10470 g5 97 1156 123*2^34761+1 10467 g10 98 1157e 12909*2^34721+1 10457 g23 98 1158 3*10^10453+1 10454 C 94 1159d 449*2^34683+1 10444 g27 98 1160g 25079*2^34660-1 10439 g23 98 1161e 195*2^34666+1 10438 g23 98 1162d 595*2^34654+1 10435 g27 98 1163 111111725*2^34623+1 10431 g8 97 1164b 342393*2^34612+1 10425 g56 98 1165 97*2^34618+1 10424 DM 97 1166 1035*2^34589+1 10416 g5 98 1167 112377*2^34526+1 10399 g8 97 1168 24029#+1 10387 C 93 Prime-factorial plus one 1169 300000003*2^34453+1 10380 g2 97 1170 59*2^34437+1 10369 Y 95 1171 69*2^34433+1 10368 DM 97 1172d 1995*2^34369-1 10350 g16 98 1173d 25307*2^34350-1 10345 g13 98 1174 11379*2^34350+1 10345 g13 97 1175 10935*2^34350+1 10345 g13 97 1176d 3867*2^34350-1 10344 g13 98 1177 3*2^34350+1 10341 D 92 . Divides GF(34346,3), generalized Cullen 1178c 2863575*2^34330-1 10341 g42 98 1179 15*2^34260+1 10315 D 93 Generalized Cullen 1180 65*2^34249+1 10312 DM 97 1181 189*2^34233-1 10308 Z 89 1182 15*2^34224+1 10304 D 93 Divides GF(34222,12) [D] 1183e 203*2^34217+1 10303 gt 98 1184b 351*2^34213+1 10302 gt 98 1185 (5452545+10^5153)*10^5147+1 10301 D 90 Palindrome page 22 1186f 2079*2^34195+1 10298 g5 98 1187 148065551*2^34169+1 10295 g5 98 1188 23801#+1 10273 C 93 Prime-factorial plus one 1189f 982451737*2^34074+1 10267 g15 98 1190d 16769025*2^34072+1 10264 g2 98 . Cunningham chain 2nd kind (2p-1) 1191d 16769025*2^34071+1 10264 g2 98 . Cunningham chain 2nd kind (p) 1192b 609*2^34077+1 10261 gt 98 1193 63*2^34074+1 10260 Y 95 1194d 2829*2^34033+1 10249 g6 98 1195e 201*2^34023+1 10245 gd 98 1196d 18765*2^34003+1 10241 g34 98 1197a 137792655*2^33989+1 10240 g52 98 1198a 567*2^34004-1 10239 g70 98 1199f 11295*2^33984+1 10235 g34 98 1200 105*2^33980+1 10232 DM 97 1201a 5083*2^33946+1 10223 SP 98 1202 213819*2^33869+1 10201 Y 93 1203 183789*2^33869+1 10201 Y 93 1204d 1977*2^33810-1 10182 g16 98 1205b 577294575*2^33772+1 10176 g42 98 1206a 5035*2^33778+1 10172 SP 98 1207d 1977*2^33769-1 10169 g16 98 1208 111546435*2^33726+1 10161 g5 97 1209 19*10^10147+1 10149 C 96 1210g 121550625*2^33592+1 10121 g2 98 1211g 323*2^33601+1 10118 g6 98 1212 39*2^33593+1 10115 Y 93 1213d 291*2^33576+1 10110 g52 98 1214 6384378*10^10103-1 10110 D 93 1215 107*2^33575+1 10110 DM 97 1216 37728*10^10104+1 10109 D 93 1217d 16769025*2^33547+1 10106 g2 98 1218a 5087*2^33555+1 10105 SP 98 1219 131*2^33549+1 10102 g0 98 1220 43*2^33526+1 10094 Y 95 1221 2007650*R(10080)+1 10086 D 97 1222 1024940*R(10080)+1 10086 D 97 1223 315430*R(10080)+1 10085 D 97 1224 155790*R(10080)+1 10085 D 97 1225 150040*R(10080)+1 10085 D 97 1226 2570*R(10080)+1 10083 D 97 1227 18185358180*R(10080)/R(10)+1 10081 D 97 Palindrome 1228 18166066180*R(10080)/R(10)+1 10081 D 97 Palindrome 1229 1597950*R(10080)/R(6)+1 10081 D 97 Palindrome 1230 11650005610*R(10080)/R(10)+1 10081 D 97 Palindrome 1231 1101010*R(10080)/R(6)+1 10081 D 97 Palindrome 1232 14031963*2^33442+1 10075 SP 98 1233 82642^2048+1 10071 D 89 Generalized Fermat 1234c 342225*2^33428+1 10069 g2 98 1235 8191*2^33396+1 10058 MC 97 1236f 7773*2^33389+1 10055 g36 98 1237b 111073*2^33358+1 10047 g52 98 1238c 281*2^33361+1 10046 g35 98 1239d 1631355*2^33334-1 10041 g35 98 1240 11727*2^33323+1 10036 g1 98 1241 1737*2^33323+1 10035 g1 98 page 23 1242c 111525*2^33312+1 10033 g52 98 1243c 111363*2^33308+1 10032 g52 98 1244g 6735*2^33303+1 10030 g31 98 1245 3061*2^33288+1 10025 BY 87 1246c 111329*2^33271+1 10021 g52 98 1247c 111237*2^33258+1 10017 g52 98 1248c 111731*2^33249+1 10014 g52 98 1249g 219*2^33253+1 10013 g27 98 1250c 111827*2^33231+1 10009 g52 98 1251 1451*2^33237+1 10009 SP 97 1252c 110463*2^33230+1 10009 g52 98 1253 92351733*2^33210+1 10006 g7 97 1254g 753569*2^33211+1 10004 g23 98 1255g 595565*2^33211+1 10004 g23 98 1256 374975*2^33211+1 10004 g23 98 1257 89247*2^33210+1 10003 Y 93 1258 21405*2^33212+1 10003 Y 93 1259 19587*2^33212+1 10003 Y 93 1260 (1232321+10^5004)*10^4998+1 10003 D 90 Palindrome 1261 21461*2^33211+1 10002 g23 98 1262 12861*2^33211+1 10002 gr 97 1263 9065*2^33211+1 10002 gr 97 1264f 20729*2^33209+1 10002 g29 98 1265b 44499*2^33207+1 10001 g29 98 1266f 15355*2^33208+1 10001 g29 98 1267f 11941*2^33208+1 10001 g29 98 1268d 16769025*2^33197+1 10001 g2 98 1269f 24825*2^33206+1 10001 g29 98 1270g 5713*2^33208+1 10001 g29 98 1271g 2265*2^33209+1 10001 g29 98 1272f 23039*2^33205+1 10001 g29 98 1273 572391*2^33199+1 10000 SP 98 1274g 4459*2^33206+1 10000 g29 98 1275g 9705*2^33204+1 10000 g29 98 1276g 2367*2^33206+1 10000 g29 98 1277f 117991*2^33200+1 10000 g29 98 1278e 14745*2^33203+1 10000 g29 98 1279 3669*2^33205+1 10000 g29 98 1280f 101587*2^33200+1 10000 g29 98 1281e 24295*2^33202+1 10000 g29 98 1282d 83391*2^33200+1 10000 g29 98 1283e 20689*2^33202+1 10000 g29 98 1284d 80521*2^33200+1 10000 g29 98 1285b 140863*2^33199-1 10000 g29 98 1286b 135579*2^33199-1 10000 g29 98 1287b 135519*2^33199-1 10000 g29 98 1288c 33345*2^33201-1 10000 g29 98 1289b 65250655*2^33190+1 10000 g29 98 1290c 130473789*2^33189+1 10000 g29 98 1291c 260936241*2^33188+1 10000 g29 98 1292d 16307683*2^33192+1 10000 g29 98 1293g 521841969*2^33187+1 10000 g29 98 *** Titanic Primes (those with over 1,000 digits) *** 1340 83*2^32749+1 9861 DM 97 Divides GF(32748,10) [g0] 1356 32469*2^32469+1 9779 MM 97 Cullen 1363 32292*2^32292+1 9726 MM 97 Cullen 1371 141*2^32192+1 9693 g1 98 Divides GF(32185,6) [g0] 1381 45*2^32018+1 9641 Y 95 Divides GF(32015,6) [BR] page 24 1384 9*10^9631-1 9632 D 94 Generalized Woodall 1453 83*2^31201+1 9395 DM 97 Divides GF(31200,12) [g0] 1516 15064846050*R(9240)/R(10)+1 9241 D 96 Palindrome 1517 130030*(10^9240-1)/(10^5-1)+1 9241 D 95 Triadic palindrome 1604 26946^2048+1 9074 D 89 Generalized Fermat 1658 (2166612+10^4507)*10^4501+1 9009 D 90 Palindrome 1690 57*2^29623+1 8920 Y 95 Divides GF(29621,6) [BR] 1712 135*2^29430-1 8862 Z 89 Generalized Woodall 1766a 11915!!!!!+1 8681 CK 98 Multifactorial plus one 1803 39*2^28437+1 8562 Y 95 Divides GF(28435,10) [BR] 1805 15048^2048+1 8556 D 87 Generalized Fermat 1816 81*2^28285+1 8517 TT 96 . Divides Fermat F(28281); GF(28283,6), GF(2883,12) [g0] 1821 11*2^28277+1 8514 D 92 Divides GF(28276,10) [D] 1841 2*3^17720+1 8455 C 96 Generalized Cullen 1861 9*10^8415-1 8416 D 94 Generalized Woodall 1905 10*R(3822)*(1089*10^4519+1)+1 8345 D 97 Most ending 1's 1922 11272^2048+1 8299 D 86 Generalized Fermat 2038 5*2^26607+1 8011 D 92 Divides GF(26606,12) [D] 2041 (1915191+10^4006)*10^4000+1 8007 D 90 Palindrome 2044 18523#+1 8002 D 89 Prime-factorial plus one 2048f 295*2^26550+1 7995 g23 98 Generalized Cullen 2151 29*2^25723+1 7745 D 93 Generalized Cullen 2198 215*2^25381+1 7643 g23 98 Divides GF(25380,12) 2201 75*2^25350+1 7633 DM 96 Generalized Cullen 2230g 761*2^25113+1 7563 g23 98 Generalized Cullen 2234 133888330*(10^7560-1)/(10^8-1)+1 7561 D 95 Triadic palindrome 2270 4772^2048+1 7534 RW 97 Generalized Fermat 2280 57*2^25010+1 7531 Y 95 Divides Fermat F(25006) 2290d 23*2^24978-1 7521 gk 98 Generalized Woodall 2293 4650^2048+1 7511 RW 97 Generalized Fermat 2318 99*2^24653+1 7424 Y 93 Divides Fermat F(24651) [TT] 2320 63*2^24633+1 7418 Y 95 Generalized Cullen 2327e 7*2^24557-1 7394 gk 98 Generalized Woodall 2381a 10232!!!!!+1 7320 CK 98 Multifactorial plus one 2412 15*2^24105+1 7258 D 93 Generalized Cullen 2597b 72021*2^23631-1 7119 g0 98 Sophie Germain (2p+1) 2599b 72021*2^23630-1 7119 g0 98 Sophie Germain (p) 2736c 40883037*2^23456+1 7069 g2 98 Twin 2737c 40883037*2^23456-1 7069 g2 98 Twin 2889 5*2^23473+1 7067 K 84 . Divides Fermat F(23471); GF(23467,10) [D] 2899 (2220222+10^3532)*10^3526+1 7059 D 90 Palindrome 2902 (1702071+10^3531)*10^3525+1 7057 D 90 Palindrome 2915 3*10^7050-1 7051 D 93 Generalized Woodall 3055 71*2^23289+1 7013 gr 97 Generalized Cullen 3056 19*2^23290+1 7013 D 92 Divides Fermat F(23288) 3100 2^23209-1 6987 N 79 Mersenne 26 3105 2558^2048+1 6980 RW 97 Generalized Fermat 3133 681*2^23071+1 6948 DM 96 . Divides Fermat F(23069) [TT & g0] 3147 23005*2^23005-1 6930 Y 97 Woodall 3149 37*2^23014+1 6930 Y 95 Generalized Cullen 3158 22971*2^22971-1 6920 Y 97 Woodall 3166 (88111881818811188+10^3461)*10^3445+1 6907 D 89 Tetradic 3207 75*2^22750+1 6851 DM 96 Divides GF(22746,12) [g0] page 25 3210 15877#-1 6845 CD 92 Prime-factorial minus one 3222 35*2^22645+1 6819 Y 95 Generalized Cullen 3229 9*2^22603+1 6806 D 92 Divides GF(22601,12) 3239e 9*2^22555-1 6791 gk 98 Generalized Woodall 3267 7*2^22386+1 6740 D 92 . Divides GF(22385,6), generalized Cullen 3306 843753*2^22222+1 6696 gr 97 Twin 3307 843753*2^22222-1 6696 gr 97 Twin 3352 16*R(2640)*(1311*10^4001+1)+1 6645 D 97 Most ending 7's 3354a 9382!!!!!+1 6641 CK 98 Multifactorial plus one 3399c 15*2^21962-1 6613 gk 98 Generalized Woodall 3429 2*3^13782+1 6576 C 94 Generalized Cullen 3433 (3+10^3286)*10^3286+1 6573 D 90 Palindrome 3522 2^21701-1 6533 NN 78 Mersenne 25 3560a 9202!!!!!+1 6498 CK 98 Multifactorial plus one 3645 9*R(6400)-10^6352 6400 D 91 Near-repdigit 3771 12013431020*(10^6300-1)/(10^10-1)+1 6301 D 95 Palindrome 3778 3*2^20909+1 6295 K 85 Divides GF(20906,12) [D] 3820 51*2^20733+1 6243 Y 95 Divides GF(20730,12) [BR] 3900 1000174^1024+1 6145 D 86 Generalized Fermat 3935 95*2^20271+1 6105 DM 96 Divides GF(20269,10) [D] 3945 1059*2^20238+1 6096 DM 96 Divides GF(20236,6) [BR] 3989 2*R(3038)*10^3038+1 6076 D 90 Antipalindrome 4125c 7485*2^20023-1 6032 g5 98 Twin 4126c 7485*2^20023+1 6032 g5 98 Twin 4128 775*2^20026+1 6032 DM 96 Divides GF(20023,10) [g23] 4269 2^19937-1 6002 T 71 Mersenne 24 4270 9*R(6000)-10^5965 6000 D 90 Near-repdigit 4354 (1956^1801-1)/1955 5925 DB 94 Generalized repunit 4445 13649#+1 5862 D 87 Prime-factorial plus one 4452 R(2700)*10^3156+1 5856 D 91 Only 1's and 0's 4471 313*2^19354+1 5829 DM 96 Divides GF(19353,10) [D] 4523 2*3^12096+1 5772 C 94 Generalized Cullen 4549 9*R(5749)-7*10^2874 5749 D 89 Near-repdigit palindrome 4553 10^5744+666666666666666*10^2865+1 5745 D 97 Palindrome 4556g 13*2^19071-1 5743 g23 98 Generalized Woodall 4575 276311*2^19004+3 5727 g23 98 Sophie Germain (2p+1) 4576 276311*2^19003+1 5726 g23 98 Sophie Germain (p) 4608 18885*2^18885-1 5690 K 87 Woodall 4625g 3*2^18819-1 5666 g23 98 Generalized Woodall 4655 33*2^18766+1 5651 D 93 Divides Fermat F(18757) 4659 11*2^18759+1 5649 D 92 Divides Fermat F(18749) 4665 69*2^18743+1 5645 D 93 Divides GF(18740,12) [BR] 4687 1101*2^18717+1 5638 DM 96 Generalized Cullen 4743 1963!-1 5614 CD 92 Factorial minus one 4748 13033#-1 5610 CD 92 Prime-factorial minus one 4774a 6586!!!!+1 5575 CK 98 Multifactorial plus one 4776 18496*2^18496+1 5573 K 84 Cullen 4863 547*2^18228+1 5490 DM 96 Divides GF(18227,3) [g23] 4892g 3*2^18123-1 5457 g23 98 Generalized Woodall 4909a 6440!!!!+1 5436 CK 98 Multifactorial plus one 4944 10^5425+666999*10^2710+1 5426 D 97 Strobogrammatic 4972 4975!!!+1 5413 C 92 Multifactorial plus one 4987 3476!!-1 5402 C 92 Multifactorial minus one *** I keep the 5000 largest known primes (plus selected *** smaller primes), so consecutive ranks below 5000 do not page 26 *** necessarily indicate consecutive known primes. 5001 135*2^17909+1 5394 TT 96 Divides Fermat F(17906) 5002 8182815*2^17838+1 5377 DS 98 Twin 5003 8182815*2^17838-1 5377 DS 98 Twin 5004 5*10^5322-1 5323 D 91 Near-repdigit 5005 801*2^17397+1 5240 DM 96 Divides GF(17396,5) [g23] 5006 4825*2^17306+1 5214 DM 96 Divides GF(17305,3) [g23] 5007 111528^1024+1 5169 RW 97 Generalized Fermat 5008 570918348*10^5120+1 5129 D 95 Twin 5009 570918348*10^5120-1 5129 D 95 Twin 5010 101682^1024+1 5128 D 86 Generalized Fermat 5011 100964^1024+1 5125 D 86 Generalized Fermat 5012 92305*2^16999+3 5123 g14 98 Sophie Germain (2p+1) 5013 92305*2^16998+1 5122 g14 98 Sophie Germain (p) 5014 R(2502)*10^2612+1 5114 D 91 Only 1's and 0's 5015b Y(812935,109,87087) 5097 D 98 3-Carmichael factor 3p 5016 1613899287*10^5073-1 5083 D 95 Sophie Germain (2p+1) 5017 8069496435*10^5072-1 5082 D 95 Sophie Germain (p) 5018 5*10^5028-1 5029 D 91 Near-repdigit 5019b 45*2^16679+1 5023 D 93 Divides GF(16677,12) [BR] 5020 9*R(5003)-10^4191 5003 D 90 Near-repdigit 5021 5892423282^512+1 5003 CR 96 Generalized Fermat 5022b 955*2^16530+1 4980 g14 98 Divides GF(16526,10) [g23] 5023 11549#+1 4951 D 86 Prime-factorial plus one 5024 470943129*2^16353-1 4932 IJ 95 Sophie Germain (2p+1) 5025 697053813*2^16352+1 4932 IJ 95 Twin 5026 697053813*2^16352-1 4932 IJ 95 Twin 5027 470943129*2^16352-1 4932 IJ 95 Sophie Germain (p) 5028 157324389*2^16353-1 4931 IJ 95 Sophie Germain (2p+1) 5029 157324389*2^16352-1 4931 IJ 95 Sophie Germain (p) 5030 (R(9)+10^2424)*10^2416+1 4841 D 89 Palindrome, 1's and 0's 5031 15822*2^15822-1 4768 K 87 Woodall 5032 (437^1801-1)/436 4753 DB 94 Generalized repunit 5033 41292^1024+1 4727 RW 97 Generalized Fermat 5034 Phi(2524,4683) 4625 D 96 Unique 5035 6797727*2^15328+1 4622 F 95 Twin 5036 6797727*2^15328-1 4622 F 95 Twin 5037 (689+10^2304)*10^2302+1 4607 D 89 Strobogrammatic 5038 55*2^15164+1 4567 D 93 Divides Fermat F(15161) 5039 10830625806*10^4526-1 4537 D 94 Sophie Germain (2p+1) 5040 5415312903*10^4526-1 4536 D 94 Sophie Germain (p) 5041 Phi(3368,493) 4524 D 96 Unique 5042b 341*2^14997+1 4518 g23 98 Divides GF(14996,10) 5043 Phi(2524,3704) 4497 D 96 Unique 5044 150^2048+1 4457 D 86 Generalized Fermat 5045 6*10^4332-1 4333 D 88 Near-repdigit 5046 6*10^4301-1 4302 D 88 Near-repdigit 5047 157*2^14280+1 4301 TT 96 Divides Fermat F(14276) 5048 13042^1024+1 4215 RW 97 Generalized Fermat 5049 12548^1024+1 4197 RW 97 Generalized Fermat 5050 12202^1024+1 4185 RW 97 Generalized Fermat 5051 9070^1024+1 4053 D 86 Generalized Fermat 5052 1477!+1 4042 D 84 Factorial plus one 5053 1692923232*10^4020+1 4030 D 93 Twin 5054 1692923232*10^4020-1 4030 D 93 Twin 5055 Y(475709,87,2365) 4029 D 94 3-Carmichael factor 3p 5056 2936717784*10^4003-1 4013 D 94 Sophie Germain (2p+1) 5057 1468358892*10^4003-1 4013 D 94 Sophie Germain (p) page 27 5058 9*R(4000)-10^3185 4000 D 90 Near-repdigit 5059c 224529135*2^12649-1 3817 g2 98 Sophie Germain (2p+1) 5060c 224529135*2^12648-1 3816 g2 98 Sophie Germain (p) 5061 12379*2^12379-1 3731 K 84 Woodall 5062b 81*2^12189+1 3672 D 93 Divides GF(12187,6) [BR] 5063 9*R(3597)-10^1798 3597 D 89 Near-repdigit palindrome 5064 3122846727*10^3530-1 3540 D 94 Sophie Germain (2p+1) 5065 15614233635*10^3529-1 3540 D 94 Sophie Germain (p) 5066 (424^1321-1)/423 3469 DB 94 Generalized repunit 5067 915*2^11455+1 3452 g23 98 Twin 5068 915*2^11455-1 3452 g23 98 Twin 5069 4655478828*10^3429+1 3439 D 93 Twin 5070 4655478828*10^3429-1 3439 D 93 Twin 5071 (2^11279+1)/3 3395 PM 98 Cyclotomy 5072 1706595*2^11235+1 3389 Z 89 Twin 5073 1706595*2^11235-1 3389 Z 89 Twin 5074 2^11213-1 3376 G 63 Mersenne 23 5075 3*10^3204-1 3205 CD 89 Near-repdigit 5076b 10941*2^10601+1 3196 g27 98 Twin 5077b 10941*2^10601-1 3196 g27 98 Twin 5078 9*R(3159)-8*10^1579 3159 D 88 Near-repdigit palindrome 5079b 81*2^10399+1 3133 D 93 Divides GF(10397,6) [BR] 5080 Phi(1688,5335) 3131 D 96 Unique 5081 Phi(1688,4738) 3088 D 96 Unique 5082b 725*2^10241+1 3086 g23 98 Divides GF(10240,6) 5083 N((-1+i)*(2+i)^4414+1) 3086 M 89 Elliptic 5084 Phi(1688,4600) 3077 D 96 Unique 5085d 22155*2^10165-1 3065 g35 98 Sophie Germain (2p+1) 5086d 22155*2^10164-1 3065 g35 98 Sophie Germain (p) 5087 (60*R(1527)+2)*10^1527-1 3055 CR 97 Strobogrammatic 5088 Phi(1688,4081) 3034 DB 96 Unique 5089 2*10^3020-1 3021 W 85 Near-repdigit 5090 V(14449) 3020 DK 95 Lucas number 5091d 12110457*2^10006+1 3020 g2 98 Twin 5092d 12110457*2^10006-1 3020 g2 98 Twin 5093e 10808517*2^10004+1 3019 g2 98 Twin 5094e 10808517*2^10004-1 3019 g2 98 Twin 5095f 3257595*2^10005+1 3019 g2 98 Twin 5096f 3257595*2^10005-1 3019 g2 98 Twin 5097e 12176169*2^10003+1 3019 g2 98 Twin 5098e 12176169*2^10003-1 3019 g2 98 Twin 5099 Phi(1688,3914) 3018 D 96 Unique 5100 8590875*2^10001+1 3018 g2 98 Twin 5101 8590875*2^10001-1 3018 g2 98 Twin 5102 10642317*2^10000+1 3018 g2 98 Twin 5103 10642317*2^10000-1 3018 g2 98 Twin 5104 2^10000+177 3011 PM 97 Cyclotomy 5105 9402702309*10^3000-1 3010 D 93 Sophie Germain (2p+1) 5106 47013511545*10^2999-1 3010 D 93 Sophie Germain (p) 5107 Phi(1688,3783) 3006 D 96 Unique 5108b 113*2^9961+1 3001 D 93 Divides GF(9960,10) 5109 2^9941-1 2993 G 63 Mersenne 22 5110e 4627755*2^9879-1 2981 g2 98 Sophie Germain (2p+1) 5111e 4627755*2^9878-1 2981 g2 98 Sophie Germain (p) 5112 2*3^6225+1 2971 C 94 Divides Phi(3^6223,2) [K] 5113 Phi(1688,3417) 2969 D 96 Unique 5114 Phi(1688,3220) 2947 D 96 Unique 5115 2^9689-1 2917 G 63 Mersenne 21 page 28 5116 2*10^2906-1 2907 W 85 Near-repdigit 5117 V(13876) 2900 DK 95 Lucas primitive part 5118 9531*2^9531-1 2874 K 84 Woodall 5119 (686^1009-1)/685 2860 DB 94 Generalized repunit 5120b 9*2^9431+1 2840 K 83 Divides GF(9429,6) [D] 5121 6569#-1 2811 D 92 Prime-factorial minus one 5122 Phi(1688,1848) 2745 D 96 Unique 5123 10^2633+999666*10^1314+1 2634 D 97 Strobogrammatic 5124 9*R(2631)-7*10^1315 2631 D 89 Near-repdigit palindrome 5125 10^2597+999666*10^1296+1 2598 D 97 Strobogrammatic 5126 3492104616*10^2581-1 2591 D 93 Sophie Germain (2p+1) 5127 1746052308*10^2581-1 2591 D 93 Sophie Germain (p) 5128b 14015*2^8587+1 2590 DM 80 Divides GF(8585,10) [D] 5129b 12*M(812935,109)+1 2551 D 98 3-Carmichael factor 2p 5130b 6*M(812935,109)+1 2551 D 98 3-Carmichael factor p 5131 U(14203) 2544 DK 96 Fibonacci primitive part 5132 9*R(2501)-10^1625 2501 D 91 Near-repdigit 5133 9*R(2500)-10^2416 2500 D 91 Near-repdigit 5134 9*R(2493)-10^1246 2493 D 89 Near-repdigit palindrome 5135 974!-1 2490 CD 92 Factorial minus one 5136 Phi(1688,877) 2473 D 96 Unique 5137f 22714209*2^8088-1 2443 g14 98 Sophie Germain (2p+1) 5138f 22714209*2^8087-1 2442 g14 98 Sophie Germain (p) 5139 9303607*2^8005+3 2417 g2 98 Sophie Germain (2p+1) 5140 9303607*2^8004+1 2417 g2 98 Sophie Germain (p) 5141b 9*2^7967+1 2400 AR 79 Divides GF(7966,10) [D] 5142 7755*2^7755-1 2339 K 84 Woodall 5143 (2^7673-1)/(184153*13918823) 2298 M1 97 Mersenne cofactor 5144b 4837*2^7575+3 2284 g34 98 Sophie Germain (2p+1) 5145b 4837*2^7574+1 2284 g34 98 Sophie Germain (p) 5146 9*R(2273)-5*10^1136 2273 D 89 Near-repdigit palindrome 5147 (218^971-1)/217 2269 CR 97 Generalized repunit 5148 N((-i*2^(1/2))*(1+i*2^(1/2))^4743+1) 2264 M 89 Elliptic 5149 V(10691) 2235 DK 95 Lucas number 5150 Phi(1688,440) 2221 DB 96 Unique 5151 Phi(1688,418) 2202 DB 96 Unique 5152 (2^7331-1)/458072843161 2196 EM 97 ECPP, Mersenne cofactor 5153 872!+1 2188 D 83 Factorial plus one 5154b 148155*2^7242+1 2186 g2 98 . Cunningham chain 2nd kind (2p-1) 5155b 148155*2^7241+1 2185 g2 98 . Cunningham chain 2nd kind (p) 5156f 8980569*2^7180-1 2169 g14 98 Sophie Germain (2p+1) 5157f 8980569*2^7179-1 2169 g14 98 Sophie Germain (p) 5158 14096107*2^7169+3 2166 gr 97 Sophie Germain (2p+1) 5159 12271975*2^7169+3 2166 gr 97 Sophie Germain (2p+1) 5160 14096107*2^7168+1 2165 gr 97 Sophie Germain (p) 5161 12271975*2^7168+1 2165 gr 97 Sophie Germain (p) 5162 (137^1009-1)/136 2154 DB 94 Generalized repunit 5163b 89385*2^7078+1 2136 g2 98 . Cunningham chain 2nd kind (2p-1) 5164b 89385*2^7077+1 2136 g2 98 . Cunningham chain 2nd kind (p) 5165a 145*2^7000+1 2110 SP 98 Divides GF(6999,12) 5166a 160484835*2^6897+1 2085 g56 98 . Cunningham chain 2nd kind (2p-1) 5167a 160484835*2^6896+1 2085 g56 98 . Cunningham chain 2nd kind (p) page 29 5168 (2^6883-1)/(1885943*2043031664890199) 2051 M1 97 Mersenne cofactor 5169 4787#+1 2038 D 84 Prime-factorial plus one 5170 12*M(475709,87)+1 2016 D 94 3-Carmichael factor 2p 5171 6*M(475709,87)+1 2016 D 94 3-Carmichael factor p 5172 2*3^4217+1 2013 K 94 Divides Phi(3^4217,2) 5173 V(11221) 2002 DK 96 Lucas primitive part 5174 (35^1297-1)/34 2002 DB 94 Generalized repunit 5175 6611*2^6611+1 1994 K 84 Cullen 5176 (3^4177-1)/2 1993 DB 94 Generalized repunit 5177 U(11915) 1992 DK 95 Fibonacci primitive part 5178 V(9356) 1955 DK 95 Lucas primitive part 5179 4583#-1 1953 D 92 Prime-factorial minus one 5180 N((-1-i)*(2+i)^2786+1) 1948 M 89 Elliptic 5181 U(9311) 1946 DK 95 Fibonacci number 5182 4547#+1 1939 D 84 Prime-factorial plus one 5183 U(11545) 1930 DK 95 Fibonacci primitive part 5184 (202^829-1)/201 1909 CR 97 Generalized repunit 5185 4297#-1 1844 D 92 Prime-factorial minus one 5186 V(13173) 1835 DK 95 Lucas primitive part 5187 N((-i*2^(1/2))*(1+i*2^(1/2))^3833+1) 1830 M 89 Elliptic 5188a 413188563*2^5926+1 1793 g56 98 . Cunningham chain 2nd kind (2p-1) 5189a 413188563*2^5925+1 1793 g56 98 . Cunningham chain 2nd kind (p) 5190a 9221961*2^5901+1 1784 g56 98 . Cunningham chain 2nd kind (2p-1) 5191a 9221961*2^5900+1 1784 g56 98 . Cunningham chain 2nd kind (p) 5192 Phi(1844,82) 1761 DB 96 Unique 5193 U(12717) 1761 DK 95 Fibonacci primitive part 5194 2*10^1755-1 1756 W 85 Near-repunit 5195 4093#-1 1750 CD 92 Prime-factorial minus one 5196 5795*2^5795+1 1749 K 84 Cullen 5197 9*10^874+R(874)*(10^875+1) 1749 CR 97 Near-repunit palindrome 5198 (2^5689-1)/919724609777 1701 EM 97 ECPP, Mersenne cofactor 5199 U(10025) 1672 DK 95 Fibonacci primitive part 5200 90*R(1656)+1 1657 D 94 Near-repdigit 5201 30*7^1944+1 1645 K 94 Divides Phi(7^1944,2) 5202 2*71^879+1 1628 K 94 Divides Phi(71^879,2) 5203 V(7741) 1618 DK 95 Lucas number 5204 V(11808) 1606 DK 95 Lucas primitive part 5205 5312*2^5312-1 1603 K 84 Woodall 5206 30*11^1514+1 1579 K 94 Divides Phi(11^1514,2) 5207a 58229775*2^5203+1 1575 g56 98 . Cunningham chain 2nd kind (2p-1) 5208a 58229775*2^5202+1 1574 g56 98 . Cunningham chain 2nd kind (p) 5209a 5883525*2^5204+1 1574 g56 98 . Cunningham chain 2nd kind (2p-1) 5210a 5883525*2^5203+1 1574 g56 98 . Cunningham chain 2nd kind (p) 5211 30*19^1210+1 1549 K 94 Divides Phi(19^1210,2) 5212 (2^5227-1)/(1129033*47126633*227482218017) 1549 EM 97 ECPP, Mersenne cofactor 5213 (190^673-1)/189 1532 DB 94 Generalized repunit 5214 (2^5087-1)/(40697*1678711*114097014833) 1510 EM 97 ECPP, Mersenne cofactor page 30 5215 V(10821) 1508 DK 95 Lucas primitive part 5216 p(1840926) 1505 M 92 ECPP 5217a 302442855*2^4907+1 1486 g52 98 . Cunningham chain 2nd kind (2p-1) 5218a 302442855*2^4906+1 1486 g52 98 . Cunningham chain 2nd kind (p) 5219 16*13^1309+1 1460 K 94 Divides Phi(13^1309,2) 5220a 301690719*2^4779+1 1448 g56 98 . Cunningham chain 2nd kind (2p-1) 5221a 303600159*2^4778+1 1447 g56 98 . Cunningham chain 2nd kind (2p-1) 5222a 301690719*2^4778+1 1447 g56 98 . Cunningham chain 2nd kind (p) 5223a 307085055*2^4777+1 1447 g56 98 . Cunningham chain 2nd kind (2p-1) 5224a 303600159*2^4777+1 1447 g56 98 . Cunningham chain 2nd kind (p) 5225a 307085055*2^4776+1 1447 g56 98 . Cunningham chain 2nd kind (p) 5226 U(10377) 1445 DK 95 Fibonacci primitive part 5227 N((i-1)*(2+i)^2062+1) 1442 M 89 Elliptic 5228 (7^1699-1)/6 1436 DB 94 Generalized repunit 5229 4713*2^4713+1 1423 K 84 Cullen 5230 (70^761-1)/69 1403 DB 94 Generalized repunit 5231 9*R(1395)-7*10^697 1395 D 89 Near-repdigit 5232 2*71^753+1 1395 K 94 Divides Phi(71^753,2) 5233 U(8275) 1380 DK 95 Fibonacci primitive part 5234 10^685*(10^687+303)+1 1373 CR 97 Triadic palindrome 5235 (61^769-1)/60 1372 DB 94 Generalized repunit 5236 3229#+1 1368 D 84 Prime-factorial plus one 5237 U(9813) 1367 DK 95 Fibonacci primitive part 5238 5*10^681+R(681)*(10^682+1) 1363 CR 97 Near-repunit palindrome 5239 (62^757-1)/61 1356 DB 94 Generalized repunit 5240 (102^673-1)/101 1350 DB 94 Generalized repunit 5241 2^4423-1 1332 H 61 Mersenne 20 5242a 124183725*2^4343+1 1316 g56 98 . Cunningham chain 2nd kind (2p-1) 5243 499256067*2^4340+1 1316 g56 98 . Cunningham chain 2nd kind (2p-1) 5244a 124183725*2^4342+1 1316 g56 98 . Cunningham chain 2nd kind (p) 5245a 499256067*2^4339+1 1315 g56 98 . Cunningham chain 2nd kind (p) 5246 N((1-i)*(3+2i)^1179+1) 1314 M 89 Elliptic 5247 40*29^886+1 1298 K 94 Divides Phi(29^886,2) 5248 24*19^1005+1 1287 K 94 Divides Phi(19^1005,2) 5249 2^4253-1 1281 H 61 Mersenne 19 5250 (2^4243-1)/101833 1273 EM 97 ECPP, Mersenne cofactor 5251 Phi(1844,24) 1270 DB 96 Unique 5252 N((i-1)*(2+i)^1812+1) 1267 M 89 Elliptic 5253 V(6044) 1263 DK 95 Lucas primitive part 5254 546!-1 1260 D 92 Factorial minus one 5255a 304350057*2^4112+1 1247 g56 98 . Cunningham chain 2nd kind (2p-1) 5256a 304350057*2^4111+1 1247 g56 98 . Cunningham chain 2nd kind (p) 5257 (140^577-1)/139 1237 DB 94 Generalized repunit 5258 (2^4127-1)/(74287*2080009) 1232 EM 97 ECPP, Mersenne cofactor page 31 5259 [e*10^1230]/36037 1226 M 94 ECPP (e = 2.718...) 5260 V(8781) 1223 DK 95 Lucas primitive part 5261 V(5851) 1223 DK 95 Lucas number 5262e 572665143*2^4010+1 1216 WR 98 Cunningham chain (4p-3) 5263e 572665143*2^4009+1 1216 WR 98 Cunningham chain (2p-1) 5264e 572665143*2^4008+1 1216 WR 98 Cunningham chain (p) 5265f 384205437*2^4002-1 1214 g38 98 Cunningham chain (4p+3) 5266f 384205437*2^4001-1 1214 g38 98 Cunningham chain (2p+1) 5267f 384205437*2^4000-1 1213 g38 98 Cunningham chain (p) 5268 30*13^1074+1 1198 K 94 Divides Phi(13^1074,2) 5269 V(5498) 1149 DK 95 Lucas primitive part 5270 N((1+i)*(2+i)^1636+1) 1144 M 89 Elliptic 5271 (65^631-1)/64 1143 DB 94 Generalized repunit 5272 N((-1-i)*(2+i)^1631+1) 1141 M 89 Elliptic 5273 U(7225) 1137 DK 95 Fibonacci primitive part 5274 (13^1021-1)/12 1137 DB 94 Generalized repunit 5275 V(5414) 1131 DK 95 Lucas primitive part 5276 Phi(2264,10) 1128 C 94 Unique 5277 [gamma*10^1137]/2/47/4231/7789 1128 M 94 ECPP (gamma = 0.5772...) 5278 U(5387) 1126 WM 90 Fibonacci number 5279 (50^661-1)/49 1122 DB 94 Generalized repunit 5280 (88^577-1)/87 1121 DB 94 Generalized repunit 5281 2*107^551+1 1119 K 94 Divides Phi(107^551,2) 5282 2657#+1 1115 BC 81 Prime-factorial plus one 5283e 458556681*2^3629+1 1102 WR 98 Cunningham chain (4p-3) 5284e 458556681*2^3628+1 1101 WR 98 Cunningham chain (2p-1) 5285e 458556681*2^3627+1 1101 WR 98 Cunningham chain (p) 5286e 737803545*2^3624-1 1100 g38 98 Cunningham chain (4p+3) 5287e 737803545*2^3623-1 1100 g38 98 Cunningham chain (2p+1) 5288e 737803545*2^3622-1 1100 g38 98 Cunningham chain (p) 5289b 23873826365759390*(2^(3*1189)-2^1189)-6*2^1189+1 1091 F 98 Triplet 5290b 23873826365759390*(2^(3*1189)-2^1189)-6*2^1189-1 1091 F 98 Triplet 5291b 23873826365759390*(2^(3*1189)-2^1189)-6*2^1189-5 1091 F 98 Triplet 5292b 20834081158360750*(2^(3*1189)-2^1189)-6*2^1189+1 1091 F 98 Triplet 5293b 20834081158360750*(2^(3*1189)-2^1189)-6*2^1189-1 1091 F 98 Triplet 5294b 20834081158360750*(2^(3*1189)-2^1189)-6*2^1189-5 1091 F 98 Triplet 5295b 12059446830181065*(2^(3*1189)-2^1189)-6*2^1189+1 1090 F 98 Triplet 5296b 12059446830181065*(2^(3*1189)-2^1189)-6*2^1189-1 1090 F 98 Triplet 5297b 12059446830181065*(2^(3*1189)-2^1189)-6*2^1189-5 1090 F 98 Triplet 5298b 2328276389289095*(2^(3*1189)-2^1189)-6*2^1189+1 1090 F 98 Triplet 5299b 2328276389289095*(2^(3*1189)-2^1189)-6*2^1189-1 1090 F 98 Triplet 5300b 2328276389289095*(2^(3*1189)-2^1189)-6*2^1189-5 1090 F 98 Triplet 5301 V(9072) 1084 DK 95 Lucas primitive part 5302 437850590*(2^(3*1189)-2^1189)-6*2^1189+1 1083 F 96 Triplet 5303 437850590*(2^(3*1189)-2^1189)-6*2^1189-1 1083 F 96 Triplet page 32 5304 437850590*(2^(3*1189)-2^1189)-6*2^1189-5 1083 F 96 Triplet 5305 (2^3539+1)/3 1065 M 89 First titanic by ECPP 5306 V(5048) 1054 DK 95 Lucas primitive part 5307 469!-1 1051 BC 81 Factorial minus one 5308 2^3456+5661177712057 1041 FM 98 Triplet 5309 2^3456+5661177712053 1041 FM 98 Triplet 5310 2^3456+5661177712051 1041 FM 98 Triplet 5311 364^405+405^364 1038 PL 97 ECPP 5312 R(1031) 1031 WD 85 Repunit 5313 457315065207*10^1013+1 1025 D 96 3-Carmichael factor 3p 5314 304876710138*10^1013+1 1025 D 96 3-Carmichael factor 2p 5315 214684533063*10^1013+1 1025 D 96 3-Carmichael factor 3p 5316 152438355069*10^1013+1 1025 D 96 3-Carmichael factor p 5317 143123022042*10^1013+1 1025 D 96 3-Carmichael factor 2p 5318 71561511021*10^1013+1 1024 D 96 3-Carmichael factor p 5319 26*3^2121+1 1014 K 94 Divides Phi(3^2121,2) 5320 8*29^689+1 1009 K 94 Divides Phi(29^689,2) 5321 2377#-1 1007 D 92 Prime-factorial minus one 5322b 103145591660041180*(2^(3*1093)-2^1093)-6*2^1093-1 1005 F 98 Triplet 5323b 103145591660041180*(2^(3*1093)-2^1093)-6*2^1093-5 1005 F 98 Triplet 5324b 103145591660041180*(2^(3*1093)-2^1093)-6*2^1093-7 1005 F 98 Triplet 5325b 98060682277448225*(2^(3*1093)-2^1093)-6*2^1093-1 1005 F 98 Triplet 5326b 98060682277448225*(2^(3*1093)-2^1093)-6*2^1093-5 1005 F 98 Triplet 5327b 98060682277448225*(2^(3*1093)-2^1093)-6*2^1093-7 1005 F 98 Triplet 5328b 98044777763652795*(2^(3*1093)-2^1093)-6*2^1093-1 1005 F 98 Triplet 5329b 98044777763652795*(2^(3*1093)-2^1093)-6*2^1093-5 1005 F 98 Triplet 5330b 98044777763652795*(2^(3*1093)-2^1093)-6*2^1093-7 1005 F 98 Triplet 5331b 76912895956636885*(2^3279-2^1093)-6*2^1093+1 1004 F 98 Prime qraduplet 5332b 76912895956636885*(2^3279-2^1093)-6*2^1093-1 1004 F 98 Prime qraduplet 5333b 76912895956636885*(2^3279-2^1093)-6*2^1093-5 1004 F 98 Prime qraduplet 5334b 76912895956636885*(2^3279-2^1093)-6*2^1093-7 1004 F 98 Prime qraduplet 5335b 76912895956636885*(2^(3*1093)-2^1093)-6*2^1093+1 1004 F 98 Quadruplet 5336b 76912895956636885*(2^(3*1093)-2^1093)-6*2^1093-1 1004 F 98 Quadruplet 5337b 76912895956636885*(2^(3*1093)-2^1093)-6*2^1093-5 1004 F 98 Quadruplet 5338b 76912895956636885*(2^(3*1093)-2^1093)-6*2^1093-7 1004 F 98 Quadruplet 5339b 50564688788654320*(2^(3*1093)-2^1093)-6*2^1093+1 1004 F 98 Triplet 5340b 50564688788654320*(2^(3*1093)-2^1093)-6*2^1093-1 1004 F 98 Triplet 5341b 50564688788654320*(2^(3*1093)-2^1093)-6*2^1093-5 1004 F 98 Triplet page 33 5342b 29112852541713085*(2^(3*1093)-2^1093)-6*2^1093-5 1004 F 98 Triplet 5343b 29112852541713085*(2^(3*1093)-2^1093)-6*2^1093-1 1004 F 98 Triplet 5344b 29112852541713085*(2^(3*1093)-2^1093)-6*2^1093+1 1004 F 98 Triplet 5345b 27495488353823635*(2^(3*1093)-2^1093)-6*2^1093+1 1004 F 98 Triplet 5346b 27495488353823635*(2^(3*1093)-2^1093)-6*2^1093-1 1004 F 98 Triplet 5347b 27495488353823635*(2^(3*1093)-2^1093)-6*2^1093-5 1004 F 98 Triplet 5348b 12490747813894600*(2^(3*1093)-2^1093)-6*2^1093-1 1004 F 98 Triplet 5349b 12490747813894600*(2^(3*1093)-2^1093)-6*2^1093-5 1004 F 98 Triplet 5350b 12490747813894600*(2^(3*1093)-2^1093)-6*2^1093-7 1004 F 98 Triplet 5351 V(5656) 1004 DK 95 Lucas primitive part 5352b 10339641519687815*(2^(3*1093)-2^1093)-6*2^1093-1 1004 F 98 Triplet 5353b 10339641519687815*(2^(3*1093)-2^1093)-6*2^1093-5 1004 F 98 Triplet 5354b 10339641519687815*(2^(3*1093)-2^1093)-6*2^1093-7 1004 F 98 Triplet 5355b 3593040957586225*(2^(3*1093)-2^1093)-6*2^1093+1 1003 F 98 Triplet 5356b 3593040957586225*(2^(3*1093)-2^1093)-6*2^1093-1 1003 F 98 Triplet 5357b 3593040957586225*(2^(3*1093)-2^1093)-6*2^1093-5 1003 F 98 Triplet 5358f 75724707*2^3304+1 1003 WR 98 Cunningham chain (4p-3) 5359b 1574316633880135*(2^(3*1093)-2^1093)-6*2^1093+1 1003 F 98 Triplet 5360b 1574316633880135*(2^(3*1093)-2^1093)-6*2^1093-1 1003 F 98 Triplet 5361b 1574316633880135*(2^(3*1093)-2^1093)-6*2^1093-5 1003 F 98 Triplet 5362f 75724707*2^3303+1 1003 WR 98 Cunningham chain (2p-1) 5363 10^482*(10^520+3*R(39))+1 1003 CR 96 Triadic palindrome 5364f 75724707*2^3302+1 1002 WR 98 Cunningham chain (p) 5365 V(4793) 1002 DK 95 Lucas number 5366 V(4787) 1001 DK 95 Lucas number 5367f 651358155*2^3293-1 1001 g38 98 Cunningham chain (4p+3) 5368 Phi(3750,10) 1001 C 94 Unique 5369f 651358155*2^3292-1 1000 g38 98 Cunningham chain (2p+1) 5370f 651358155*2^3291-1 1000 g38 98 Cunningham chain (p) 5371 289^406+406^289 1000 PL 97 ECPP 5372 10^999+1150^3-1 1000 WR 96 . Second smallest known titanic 5373 10^999+7 1000 PM 98 Smallest titanic, Cyclotomy End. page 34 DATA SUMMARY Count: 5369 primes read. 1776 primes printed using 34 pages. PRIMES (on this list) BY DISCOVERER Discoverer G3 G2 G1 SG gm DS g23 Y Number 1 1 1 3 1 9 90 118 Largest rank 1 2 3 4 7 8 9 10 digits 909526 895932 420921 378632 145072 108761 91697 91241 Latest 1998 1997 1996 1996 1998 1998 1998 1998 Discoverer gr g8 g0 Z S g35 g57 g25 Number 19 37 53 17 3 16 7 3 Largest rank 14 15 17 18 19 22 26 30 digits 78908 75306 71846 65087 65050 62340 49961 45468 Latest 1998 1998 1998 1989 1985 1998 1998 1998 Discoverer g16 g39 gt g44 gk g69 g15 g2 Number 13 9 55 12 29 3 10 195 Largest rank 38 43 44 49 52 57 58 61 digits 40871 39007 38791 36975 34864 34025 33890 33268 Latest 1998 1998 1998 1998 1998 1998 1998 1998 Discoverer WC g12 g52 g43 g41 g56 DM g34 Number 1 10 19 3 6 32 56 16 Largest rank 62 63 68 73 76 81 91 97 digits 33265 33082 32172 31181 30503 30244 28703 28155 Latest 1988 1998 1998 1998 1998 1998 1997 1998 Discoverer MC g55 g66 g1 g14 g10 g59 g36 Number 8 4 1 16 20 14 6 3 Largest rank 106 112 117 122 140 141 144 150 digits 26782 26262 25670 25105 23557 23418 23130 22332 Latest 1998 1998 1998 1998 1998 1998 1998 1998 Discoverer g67 g42 g27 g26 g63 D gd g47 Number 1 30 56 3 1 181 35 1 Largest rank 151 155 160 166 170 175 178 184 digits 22149 22016 21663 21449 21208 21059 20852 20521 Latest 1998 1998 1998 1998 1998 1998 1998 1998 Discoverer SP g6 g5 g3 g22 g29 g13 F Number 17 6 31 1 7 32 10 172 Largest rank 187 203 204 215 220 223 250 260 digits 20438 20099 20077 19732 19514 19394 18658 18464 Latest 1998 1998 1998 1997 1998 1998 1998 1998 Discoverer g64 g71 BY g40 g46 g30 PM g33 Number 3 2 9 2 1 2 5 3 Largest rank 275 282 288 289 320 436 448 456 digits 18456 18250 18029 18017 17228 15060 15053 14974 Latest 1998 1998 1988 1998 1998 1998 1998 1998 Discoverer g17 g54 CK SN g37 g9 g20 g24 Number 2 2 8 1 1 14 1 2 Largest rank 473 490 564 573 686 690 720 795 digits 14606 14390 13632 13395 12479 12453 12382 12351 Latest 1998 1998 1998 1979 1998 1997 1998 1998 Discoverer g18 g31 g28 IJ g50 C g19 g62 Number 1 2 3 8 1 14 16 1 Largest rank 797 903 913 984 1011 1033 1122 1145 digits 12345 12048 11984 11713 11378 11277 10543 10532 Latest 1998 1998 1998 1995 1998 1996 1998 1998 Discoverer g70 g7 MM TT RW K N CD Number 1 1 2 3 8 26 1 6 Largest rank 1198 1253 1356 1816 2270 2889 3100 3210 digits 10239 10006 9779 8517 7534 7067 6987 6845 Latest 1998 1997 1997 1996 1997 1997 1998 1998 Discoverer NN T DB CR G M W DK Number 1 1 23 8 3 13 3 29 Largest rank 3522 4269 4354 5021 5074 5083 5089 5090 digits 6533 6002 5925 5003 3376 3086 3021 3020 Latest 1979 1992 1996 1998 1998 1997 1985 1996 Discoverer AR M1 EM H WR g38 WM BC Number 1 2 6 2 10 9 1 2 Largest rank 5141 5143 5152 5241 5262 5265 5278 5282 digits 2400 2298 2196 1332 1216 1214 1126 1115 Latest 1998 1998 1997 1994 1998 1998 1990 1997 Discoverer FM PL WD Number 3 2 1 Largest rank 5308 5311 5312 digits 1041 1038 1031 Latest 1998 1997 1998 RECENT ADDITIONS (just those on this list): Primes added in 1992 : 18 Primes added in 1993 : 40 Primes added in 1994 : 43 Primes added in 1995 : 97 Primes added in 1996 : 111 Primes added in 1997 : 248 Primes added this year: 1054 May: new primes 103 marked with f after the rank. June: new primes 136 marked with e after the rank. July: new primes 88 marked with d after the rank. August: new primes 134 marked with c after the rank. September: new primes 240 marked with b after the rank. October: new primes 102 marked with a after the rank. page 35 OPERATORS: N! = N(N-1)(N-2)...1 Factorial function (4!=24, 7!=5040). N!! = N(N-2)(N-4)... Double factorial function (5!!=15, 6!!=48). N!!!= N(N-3)(N-6)... Triple factorial (5!!!=10, 6!!!=18, 7!!!=28) (continue this pattern to define the other multifactorials). n# = 2*3*5*7*...*p The product of the primes <= n, sometimes called "prime-factorial" or "primorial". FUNCTIONS: R(n) = (10^n -1)/9 These numbers have a decimal expansion of n '1's, and are usually called "repunits". p(n) The number of partitions of n. [x] The integer part of x (floor function). U(n) The PRIMITIVE PART of the nth term in the Fibonacci sequence: 1,1,2,3,5,8,13,... V(n) The PRIMITIVE PART of the nth term in the Lucas sequence: 1,3,4,7,11,18,29... Phi(n,x) The n-th cyclotomic polynomial evaluated at x N(x+i*y) = x^2 +y^2 Usual norm for complex numbers. M(k,n) = (1/4)*(k*47#/2 -1)^n : When 6M+1, 12M+1 and Y are all Y(k,n,s) = 18*M(k,n)(4*M(k,n)+1)/s+1 : prime for the same k and n, their : product is a Carmichael Number. Q(k,n) = 1 + (10^(8*k) + 2*10^(7*k) + 3*10^(6*k) + 4*10^(5*k) + + 5*10^(4*k) + 6*10^(3*k) + 7*10^(2*k) + 8*10^k +9)*R(k)*10^n KEY TO DISCOVERERS (primality provers): BC Joe P. Buhler, Richard E. Crandall, Michael A. Penk BY Duncan A. Buell, Jeffrey Young C Chris Caldwell CD Chris Caldwell, Harvey Dubner CR Carlos B. Rivera D Harvey Dubner DB Harvey Dubner, Richard Brent DK Harvey Dubner, Wilfrid Keller DM Patrick Demichel DS Darren Smith EM Ernst W. Mayer F Tony Forbes FM Tony Forbes, Francois Morain G Donald B. Gillies G1 Joel Armengaud, George Woltman, et.al. [GIMPS] G2 Gordon Spence, George Woltman, et.al. [GIMPS] G3 Roland Clarkson, George F. Woltman, Scott Kurowski, et.al. [GIMPS] g0 Yves Gallot g2 Henri Lifchitz g3 Abel Braaksma, Rhesa Rozendaal g5 Jim Buddenhagen g6 Kenneth J. Brazier g7 Jeffrey L. Woods, Yves Gallot g8 Harvey Seargeant, Yves Gallot g9 Jodie Forbes-Millott, Yves Gallot g10 Andy J. Penrose g12 Robert L. Clark, Yves Gallot g13 James Carpenter, Yves Gallot g14 Charles F. Kerchner III, Yves Gallot g15 Brian Ball, Yves Gallot g16 Wendy Hecate Hartman, Yves Gallot g17 Ian Caines, Yves Gallot g18 Gerben Dirksen, Yves Gallot g19 Chris St.Clair g23 Ray Ballinger g24 Tallak Harald Breivik g25 Kevin O'Hare g26 Rick Marazzani, Yves Gallot g27 David Hanson, Yves Gallot g28 Mathew James Cordell, Yves Gallot g29 Richard Jones, Yves Gallot g30 Kevin Carton, Yves Gallot gr Carlos B. Rivera F., Yves Gallot gk Yves Gallot , Wilfrid Keller H Alexander Hurwitz IJ Karl-Heinz Indlekofer, Antal Ja'rai K Wilfrid Keller M Francois Morain M1 Preda Mihailescu MC Judson McCranie MM Masakatu Morii N L. Curt Noll NN L. Curt Noll, Laura A. Nickel PL Paul Leyland PM Preda Mihailescu RW Ralph Wernsdorf S David Slowinski SG David Slowinski, Paul Gage SP Steffen Polster SN David Slowinski, Harry L. Nelson T Bryant Tuckerman TT Tadashi Taura. W Hugh C. Williams WC Luther Welsh, Jr., Walter N. Colquitt WD Hugh C. Williams, Harvey Dubner WM Hugh C. Williams, Francois Morain WR Warut Roonguthai Y Jeffrey Young Z J. Brown, C. Noll, B. Parady, G. Smith, J. Smith, S. Zarantonello