What is a PRP ?
A PRP is a probable prime number, a number that nobody knows how to prove
or disprove its primality.
Here are some criterions that can be used to recognize these numbers
:
- N does not have any prime factor up to 2^32.
- N cannot be trivially written into a product.
- Take 3 square-free consecutive bases such that (b1/N)=(b2/N)=(b3/N)= -1. N
should be such that b1^((N-1)/2)=b2^((N-1)/2)=b3^((N-1)/2)= -1 (mod N).
- Take a prime base such that (b/N)= -1 and b<>b1<>b2<>b3.
N should pass the strong test in base b.
- or more (if someone has got an idea) !!!
Submit your PRPs
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See the Latest PRPs
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Rank |
Probable prime |
Digits (> 50000) |
Who ? |
When ? |
6251 | 25080^11711+11711^25080 | 102041 | Hans Havermann | 02/2019 |
6252 | 2^338968+53461 | 102040 | Stefano Morozzi | 01/2022 |
6253 | 2^338969+160175 | 102040 | Stefano Morozzi | 03/2022 |
6254 | 2^338967+13409 | 102040 | Stefano Morozzi | 04/2022 |
6255 | 2^338969+67635 | 102040 | Stefano Morozzi | 09/2022 |
6256 | 2^338969-15913 | 102040 | Stefano Morozzi | 01/2023 |
6257 | 2^338963-127455 | 102039 | Stefano Morozzi | 12/2021 |
6258 | 2^338963+132195 | 102039 | Stefano Morozzi | 02/2022 |
6259 | 2^338966+137919 | 102039 | Stefano Morozzi | 04/2022 |
6260 | 2^338963-87529 | 102039 | Stefano Morozzi | 12/2022 |
6267 | (2^338982-7)/1754517 | 102038 | Lelio R Paula | 12/2013 |
6261 | 2^338960+53935 | 102038 | Stefano Morozzi | 01/2022 |
6262 | 2^338962+83157 | 102038 | Stefano Morozzi | 02/2022 |
6263 | 2^338961+12341 | 102038 | Stefano Morozzi | 04/2022 |
6264 | 2^338960+63933 | 102038 | Stefano Morozzi | 05/2022 |
6265 | 2^338960+170791 | 102038 | Stefano Morozzi | 11/2022 |
6266 | 2^338962+21679 | 102038 | Stefano Morozzi | 11/2022 |
6268 | 2^338959-30919 | 102037 | Stefano Morozzi | 02/2022 |
6269 | 2^338959+164769 | 102037 | Stefano Morozzi | 05/2022 |
6270 | 2^338954-177003 | 102036 | Stefano Morozzi | 12/2021 |
6271 | 2^338954+154207 | 102036 | Stefano Morozzi | 01/2022 |
6272 | 2^338956+182493 | 102036 | Stefano Morozzi | 02/2022 |
6273 | 2^338954+162715 | 102036 | Stefano Morozzi | 04/2022 |
6274 | 2^338955-158241 | 102036 | Stefano Morozzi | 04/2022 |
6275 | 2^338956-33395 | 102036 | Stefano Morozzi | 04/2022 |
6276 | 2^338954+190915 | 102036 | Stefano Morozzi | 06/2022 |
6277 | 2^338955+41643 | 102036 | Stefano Morozzi | 09/2022 |
6278 | 2^338954+194427 | 102036 | Stefano Morozzi | 09/2022 |
6279 | 2^338956+117967 | 102036 | Stefano Morozzi | 09/2022 |
6280 | 2^338956+195495 | 102036 | Stefano Morozzi | 11/2022 |
6281 | 2^338954-186371 | 102036 | Stefano Morozzi | 12/2022 |
6282 | 2^338950+175077 | 102035 | Stefano Morozzi | 12/2021 |
6283 | 2^338951-51687 | 102035 | Stefano Morozzi | 12/2021 |
6284 | 2^338951+66123 | 102035 | Stefano Morozzi | 06/2022 |
6285 | 2^338950+19317 | 102035 | Stefano Morozzi | 09/2022 |
6286 | 2^338951-161479 | 102035 | Stefano Morozzi | 12/2022 |
6287 | 2^338950-66335 | 102035 | Stefano Morozzi | 01/2023 |
6288 | 2^338949+85449 | 102034 | Stefano Morozzi | 03/2022 |
6289 | 2^338949-184585 | 102034 | Stefano Morozzi | 04/2022 |
6290 | 2^338949-88555 | 102034 | Stefano Morozzi | 12/2022 |
6291 | 2^338943+127103 | 102033 | Stefano Morozzi | 12/2021 |
6292 | 2^338944-84003 | 102033 | Stefano Morozzi | 04/2022 |
6293 | 2^338945+138605 | 102033 | Stefano Morozzi | 05/2022 |
6294 | 2^338943+95133 | 102033 | Stefano Morozzi | 11/2022 |
6295 | 2^338943+147435 | 102033 | Stefano Morozzi | 11/2022 |
6296 | 2^338943-116067 | 102033 | Stefano Morozzi | 01/2023 |
6297 | 2^338940+78607 | 102032 | Stefano Morozzi | 01/2022 |
6298 | 2^338942-86687 | 102032 | Stefano Morozzi | 12/2022 |
6299 | 2^338939+151569 | 102031 | Stefano Morozzi | 12/2021 |
6300 | 2^338938+183975 | 102031 | Stefano Morozzi | 03/2022 |
6301 | 2^338937-33429 | 102031 | Stefano Morozzi | 04/2022 |
6302 | 2^338939-183259 | 102031 | Stefano Morozzi | 04/2022 |
6303 | 2^338937-139951 | 102031 | Stefano Morozzi | 01/2023 |
6304 | 2^338938-40151 | 102031 | Stefano Morozzi | 01/2023 |
6305 | 2^338935+179999 | 102030 | Stefano Morozzi | 01/2022 |
6306 | 2^338936+84147 | 102030 | Stefano Morozzi | 03/2022 |
6307 | 2^338935+171261 | 102030 | Stefano Morozzi | 11/2022 |
6308 | 2^338936-41355 | 102030 | Stefano Morozzi | 01/2023 |
6309 | 2^338931+2349 | 102029 | Stefano Morozzi | 12/2021 |
6310 | 2^338933+79935 | 102029 | Stefano Morozzi | 01/2022 |
6311 | 2^338930+33819 | 102029 | Stefano Morozzi | 03/2022 |
6312 | 2^338931-31555 | 102029 | Stefano Morozzi | 03/2022 |
6313 | 2^338933+64169 | 102029 | Stefano Morozzi | 05/2022 |
6314 | 2^338932-184965 | 102029 | Stefano Morozzi | 06/2022 |
6315 | 2^338932+66943 | 102029 | Stefano Morozzi | 09/2022 |
6316 | 2^338932+92995 | 102029 | Stefano Morozzi | 09/2022 |
6317 | 2^338931+97001 | 102029 | Stefano Morozzi | 11/2022 |
6318 | 2^338932-165453 | 102029 | Stefano Morozzi | 01/2023 |
6319 | 2^338933-40899 | 102029 | Stefano Morozzi | 01/2023 |
6320 | 2^338928+2367 | 102028 | Stefano Morozzi | 12/2021 |
6321 | 2^338927+52779 | 102028 | Stefano Morozzi | 01/2022 |
6322 | 2^338927-79539 | 102028 | Stefano Morozzi | 02/2022 |
6323 | 2^338929+60819 | 102028 | Stefano Morozzi | 03/2022 |
6324 | 2^338928-156959 | 102028 | Stefano Morozzi | 03/2022 |
6325 | 2^338927-63919 | 102028 | Stefano Morozzi | 12/2022 |
6326 | 2^338925+106631 | 102027 | Stefano Morozzi | 01/2022 |
6327 | 2^338926+80235 | 102027 | Stefano Morozzi | 01/2022 |
6328 | 2^338926+41607 | 102027 | Stefano Morozzi | 09/2022 |
6329 | 2^338925+195435 | 102027 | Stefano Morozzi | 11/2022 |
6330 | 2^338922-27291 | 102026 | Stefano Morozzi | 12/2021 |
6331 | 2^338919-103849 | 102025 | Stefano Morozzi | 01/2022 |
6332 | 2^338919+130221 | 102025 | Stefano Morozzi | 01/2022 |
6333 | 2^338914-79121 | 102024 | Stefano Morozzi | 02/2022 |
6334 | 2^338916+134047 | 102024 | Stefano Morozzi | 03/2022 |
6335 | 2^338914-11315 | 102024 | Stefano Morozzi | 12/2022 |
6336 | 2^338910+81027 | 102023 | Stefano Morozzi | 01/2022 |
6337 | 2^338912+179821 | 102023 | Stefano Morozzi | 01/2022 |
6338 | 2^338909+100769 | 102022 | Stefano Morozzi | 11/2021 |
6339 | 2^338908-100839 | 102022 | Stefano Morozzi | 12/2021 |
6340 | 2^338909-25951 | 102022 | Stefano Morozzi | 12/2021 |
6341 | 2^338909+66845 | 102022 | Stefano Morozzi | 09/2022 |
6342 | 2^338907+73509 | 102022 | Stefano Morozzi | 11/2022 |
6343 | 2^338906-25823 | 102021 | Stefano Morozzi | 12/2021 |
6344 | 2^338904+75951 | 102021 | Stefano Morozzi | 12/2021 |
6345 | 2^338906+6685 | 102021 | Stefano Morozzi | 01/2022 |
6346 | 2^338905+160365 | 102021 | Stefano Morozzi | 03/2022 |
6347 | 2^338906+92617 | 102021 | Stefano Morozzi | 09/2022 |
6348 | 2^338904+47065 | 102021 | Stefano Morozzi | 11/2022 |
6349 | 2^338905+70427 | 102021 | Stefano Morozzi | 11/2022 |
6350 | 2^338905-163975 | 102021 | Stefano Morozzi | 12/2022 |
6351 | 2^338903+4155 | 102020 | Stefano Morozzi | 01/2022 |
6352 | 2^338901+55571 | 102020 | Stefano Morozzi | 01/2022 |
6353 | 2^338901-55479 | 102020 | Stefano Morozzi | 02/2022 |
6354 | 2^338903+33555 | 102020 | Stefano Morozzi | 03/2022 |
6355 | 2^338901+39777 | 102020 | Stefano Morozzi | 05/2022 |
6356 | 2^338903+165981 | 102020 | Stefano Morozzi | 06/2022 |
6357 | 2^338901-34863 | 102020 | Stefano Morozzi | 06/2022 |
6358 | 2^338899-150051 | 102019 | Stefano Morozzi | 12/2021 |
6359 | 2^338899+125951 | 102019 | Stefano Morozzi | 12/2021 |
6360 | 2^338898+179623 | 102019 | Stefano Morozzi | 01/2022 |
6361 | 2^338899-154467 | 102019 | Stefano Morozzi | 02/2022 |
6362 | 2^338898-60753 | 102019 | Stefano Morozzi | 06/2022 |
6363 | 2^338898+68635 | 102019 | Stefano Morozzi | 09/2022 |
6364 | 2^338897-85963 | 102019 | Stefano Morozzi | 12/2022 |
6365 | 2^338894-133295 | 102018 | Stefano Morozzi | 04/2022 |
6366 | 2^338894+165573 | 102018 | Stefano Morozzi | 06/2022 |
6367 | 2^338894-60957 | 102018 | Stefano Morozzi | 06/2022 |
6368 | 2^338894-89463 | 102018 | Stefano Morozzi | 01/2023 |
6378 | 2^338891-18885 | 102017 | Enzo Doria | 05/2013 |
6369 | 2^338891+26499 | 102017 | Stefano Morozzi | 12/2021 |
6370 | 2^338891-2625 | 102017 | Stefano Morozzi | 12/2021 |
6371 | 2^338893+128727 | 102017 | Stefano Morozzi | 01/2022 |
6372 | 2^338890-52965 | 102017 | Stefano Morozzi | 01/2022 |
6373 | 2^338892-55467 | 102017 | Stefano Morozzi | 02/2022 |
6374 | 2^338892-83393 | 102017 | Stefano Morozzi | 04/2022 |
6375 | 2^338893+13649 | 102017 | Stefano Morozzi | 05/2022 |
6376 | 2^338892+117957 | 102017 | Stefano Morozzi | 09/2022 |
6377 | 2^338892-14643 | 102017 | Stefano Morozzi | 01/2023 |
6379 | 2^338887+154029 | 102016 | Stefano Morozzi | 01/2022 |
6380 | 2^338889-104293 | 102016 | Stefano Morozzi | 02/2022 |
6381 | 2^338887+147741 | 102016 | Stefano Morozzi | 11/2022 |
6382 | 2^338889+195975 | 102016 | Stefano Morozzi | 11/2022 |
6383 | 2^338886+177159 | 102015 | Stefano Morozzi | 12/2021 |
6384 | 2^338885+40425 | 102015 | Stefano Morozzi | 06/2022 |
6385 | 2^338884-13053 | 102015 | Stefano Morozzi | 12/2022 |
6386 | 2^338885-112569 | 102015 | Stefano Morozzi | 12/2022 |
6387 | 2^338880+11341 | 102014 | Stefano Morozzi | 03/2022 |
6388 | 2^338880-160383 | 102014 | Stefano Morozzi | 06/2022 |
6389 | 2^338880-161627 | 102014 | Stefano Morozzi | 12/2022 |
6390 | 2^338879-1059 | 102013 | Stefano Morozzi | 12/2021 |
6391 | 2^338879-54525 | 102013 | Stefano Morozzi | 02/2022 |
6392 | 2^338877-82813 | 102013 | Stefano Morozzi | 03/2022 |
6393 | 2^338878-185883 | 102013 | Stefano Morozzi | 06/2022 |
6394 | 2^338879-60355 | 102013 | Stefano Morozzi | 06/2022 |
6395 | 2^338878+43719 | 102013 | Stefano Morozzi | 09/2022 |
6396 | 2^338879+122049 | 102013 | Stefano Morozzi | 11/2022 |
6397 | 2^338874-15063 | 102012 | Stefano Morozzi | 01/2023 |
6398 | 2^338871+7679 | 102011 | Stefano Morozzi | 02/2022 |
6399 | 2^338872+61141 | 102011 | Stefano Morozzi | 03/2022 |
6400 | 2^338872-183923 | 102011 | Stefano Morozzi | 04/2022 |
6401 | 2^338873+19527 | 102011 | Stefano Morozzi | 09/2022 |
6402 | 2^338870+70719 | 102011 | Stefano Morozzi | 11/2022 |
6403 | (19*10^102011+287)/9/3 | 102011 | Alfred Reich | 11/2022 |
6404 | 2^338870-37571 | 102011 | Stefano Morozzi | 12/2022 |
6405 | 2^338872-138573 | 102011 | Stefano Morozzi | 12/2022 |
6406 | 2^338873-63843 | 102011 | Stefano Morozzi | 12/2022 |
6407 | 2^338868-5985 | 102010 | Stefano Morozzi | 02/2022 |
6408 | 2^338867+38079 | 102010 | Stefano Morozzi | 05/2022 |
6409 | 2^338868+140437 | 102010 | Stefano Morozzi | 06/2022 |
6410 | 2^338868-110175 | 102010 | Stefano Morozzi | 06/2022 |
6411 | 2^338868+123337 | 102010 | Stefano Morozzi | 11/2022 |
6412 | 2^338867-13327 | 102010 | Stefano Morozzi | 12/2022 |
6413 | 2^338868-11279 | 102010 | Stefano Morozzi | 12/2022 |
6414 | 2^338868-115685 | 102010 | Stefano Morozzi | 01/2023 |
6415 | 2^338864+158191 | 102009 | Stefano Morozzi | 02/2022 |
6416 | 2^338865-39699 | 102009 | Stefano Morozzi | 01/2023 |
6417 | 2^338865-40789 | 102009 | Stefano Morozzi | 01/2023 |
6418 | 2^338862+60433 | 102008 | Stefano Morozzi | 03/2022 |
6419 | 2^338861-9453 | 102008 | Stefano Morozzi | 04/2022 |
6420 | 2^338861+98067 | 102008 | Stefano Morozzi | 11/2022 |
6421 | 2^338862+146545 | 102008 | Stefano Morozzi | 11/2022 |
6422 | 2^338863-186207 | 102008 | Stefano Morozzi | 12/2022 |
6423 | 2^338860-41429 | 102008 | Stefano Morozzi | 01/2023 |
6424 | 2^338862-115833 | 102008 | Stefano Morozzi | 01/2023 |
6425 | 2^338858-190185 | 102007 | Stefano Morozzi | 01/2023 |
6426 | 2^338855+102141 | 102006 | Stefano Morozzi | 12/2021 |
6427 | 2^338856-27173 | 102006 | Stefano Morozzi | 12/2021 |
6428 | 2^338856-102839 | 102006 | Stefano Morozzi | 01/2022 |
6429 | 2^338855+79629 | 102006 | Stefano Morozzi | 01/2022 |
6430 | 2^338856+47755 | 102006 | Stefano Morozzi | 11/2022 |
6431 | 2^338850+27987 | 102005 | Stefano Morozzi | 01/2022 |
6432 | 2^338853+111791 | 102005 | Stefano Morozzi | 04/2022 |
6433 | 2^338852+145797 | 102005 | Stefano Morozzi | 11/2022 |
6434 | 2^338852-88497 | 102005 | Stefano Morozzi | 12/2022 |
6435 | 2^338847+176013 | 102004 | Stefano Morozzi | 12/2021 |
6436 | 2^338847-2365 | 102004 | Stefano Morozzi | 12/2021 |
6437 | 2^338848+158941 | 102004 | Stefano Morozzi | 03/2022 |
6438 | 2^338848+16671 | 102004 | Stefano Morozzi | 06/2022 |
6439 | 2^338847-35061 | 102004 | Stefano Morozzi | 06/2022 |
6440 | 2^338848+145063 | 102004 | Stefano Morozzi | 11/2022 |
6441 | 2^338847-61885 | 102004 | Stefano Morozzi | 12/2022 |
6442 | 2^338845+135831 | 102003 | Stefano Morozzi | 03/2022 |
6443 | 2^338846+85695 | 102003 | Stefano Morozzi | 03/2022 |
6444 | 2^338845+186525 | 102003 | Stefano Morozzi | 04/2022 |
6445 | 2^338846-163473 | 102003 | Stefano Morozzi | 12/2022 |
6446 | 2^338844-16077 | 102003 | Stefano Morozzi | 01/2023 |
6447 | 2^338844-165143 | 102003 | Stefano Morozzi | 01/2023 |
6448 | 2^338843-127261 | 102002 | Stefano Morozzi | 12/2021 |
6449 | 2^338843+107205 | 102002 | Stefano Morozzi | 02/2022 |
6450 | 2^338842-33185 | 102002 | Stefano Morozzi | 04/2022 |
6451 | 2^338842+14227 | 102002 | Stefano Morozzi | 05/2022 |
6452 | 2^338842+147973 | 102002 | Stefano Morozzi | 11/2022 |
6460 | 8*10^102000+51 | 102001 | Robert Price | 08/2019 |
6453 | 2^338838+150837 | 102001 | Stefano Morozzi | 11/2021 |
6454 | 2^338838+141397 | 102001 | Stefano Morozzi | 06/2022 |
6455 | 2^338839+194363 | 102001 | Stefano Morozzi | 09/2022 |
6456 | 2^338838+95637 | 102001 | Stefano Morozzi | 11/2022 |
6457 | 2^338839+171545 | 102001 | Stefano Morozzi | 11/2022 |
6458 | 2^338837-40071 | 102001 | Stefano Morozzi | 01/2023 |
6459 | 2^338838-90251 | 102001 | Stefano Morozzi | 01/2023 |
6461 | 2^338835-150625 | 102000 | Stefano Morozzi | 12/2021 |
6462 | 2^338834-32877 | 102000 | Stefano Morozzi | 04/2022 |
6466 | (2^338832+642)/2 | 101999 | Stefano Morozzi | 09/2020 |
6463 | 2^338833-100905 | 101999 | Stefano Morozzi | 12/2021 |
6464 | 2^338831+54419 | 101999 | Stefano Morozzi | 01/2022 |
6465 | 2^338831-63687 | 101999 | Stefano Morozzi | 12/2022 |
6473 | 2^338829-113239 | 101998 | Enzo Doria | 07/2014 |
6474 | 2^338828-113297 | 101998 | Enzo Doria | 07/2014 |
6467 | 2^338830+25017 | 101998 | Stefano Morozzi | 11/2021 |
6468 | 2^338831+321 | 101998 | Stefano Morozzi | 11/2021 |
6469 | 2^338827-26197 | 101998 | Stefano Morozzi | 12/2021 |
6470 | 2^338829+52727 | 101998 | Stefano Morozzi | 01/2022 |
6471 | 2^338827-55461 | 101998 | Stefano Morozzi | 02/2022 |
6472 | 2^338828-65859 | 101998 | Stefano Morozzi | 01/2023 |
6475 | 2^338825-27453 | 101997 | Stefano Morozzi | 12/2021 |
6476 | 2^338824+89355 | 101997 | Stefano Morozzi | 05/2022 |
6477 | 2^338825-10995 | 101997 | Stefano Morozzi | 06/2022 |
6478 | 2^338822+111175 | 101996 | Stefano Morozzi | 03/2022 |
6479 | 2^338822+187819 | 101996 | Stefano Morozzi | 04/2022 |
6480 | 2^338823+139545 | 101996 | Stefano Morozzi | 05/2022 |
6481 | 2^338823-184905 | 101996 | Stefano Morozzi | 06/2022 |
6482 | 2^338821-38919 | 101996 | Stefano Morozzi | 12/2022 |
6483 | 2^338820+41317 | 101995 | Stefano Morozzi | 06/2022 |
6484 | 2^338817+46019 | 101995 | Stefano Morozzi | 11/2022 |
6485 | 2^338820+148083 | 101995 | Stefano Morozzi | 11/2022 |
6486 | 2^338817-163251 | 101995 | Stefano Morozzi | 12/2022 |
6487 | 2^338819-63705 | 101995 | Stefano Morozzi | 12/2022 |
6488 | 2^338815+151175 | 101994 | Stefano Morozzi | 12/2021 |
6489 | 2^338814-30011 | 101994 | Stefano Morozzi | 02/2022 |
6490 | 2^338814+12309 | 101994 | Stefano Morozzi | 04/2022 |
6491 | 2^338816-60647 | 101994 | Stefano Morozzi | 06/2022 |
6492 | 2^338816+171043 | 101994 | Stefano Morozzi | 11/2022 |
6493 | 2^338814-11513 | 101994 | Stefano Morozzi | 12/2022 |
6494 | 2^338811-126999 | 101993 | Stefano Morozzi | 12/2021 |
6495 | 2^338811+131621 | 101993 | Stefano Morozzi | 02/2022 |
6496 | 2^338812-107637 | 101993 | Stefano Morozzi | 03/2022 |
6497 | 2^338813+192725 | 101993 | Stefano Morozzi | 09/2022 |
6498 | 2^338812+94731 | 101993 | Stefano Morozzi | 11/2022 |
6499 | 2^338809-152755 | 101992 | Stefano Morozzi | 01/2022 |
6500 | 2^338808+156531 | 101992 | Stefano Morozzi | 01/2022 |