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 ? |
7251 | 2^338982-92111 | 102044 | Stefano Morozzi | 02/2023 |
7252 | 2^338977+83007 | 102043 | Stefano Morozzi | 02/2022 |
7253 | 2^338979-83601 | 102043 | Stefano Morozzi | 04/2022 |
7254 | 2^338975+28355 | 102042 | Stefano Morozzi | 01/2022 |
7255 | 2^338973+134619 | 102042 | Stefano Morozzi | 03/2022 |
7256 | 2^338974+183777 | 102042 | Stefano Morozzi | 03/2022 |
7257 | 2^338975+69293 | 102042 | Stefano Morozzi | 09/2022 |
7265 | 25080^11711+11711^25080 | 102041 | Hans Havermann | 02/2019 |
7258 | 2^338972+152343 | 102041 | Stefano Morozzi | 12/2021 |
7259 | 2^338972-180623 | 102041 | Stefano Morozzi | 02/2022 |
7260 | 2^338972+84441 | 102041 | Stefano Morozzi | 03/2022 |
7261 | 2^338971+64875 | 102041 | Stefano Morozzi | 05/2022 |
7262 | 2^338971+44985 | 102041 | Stefano Morozzi | 11/2022 |
7263 | 2^338971+145065 | 102041 | Stefano Morozzi | 11/2022 |
7264 | 2^338972-16635 | 102041 | Stefano Morozzi | 01/2023 |
7266 | 2^338968+53461 | 102040 | Stefano Morozzi | 01/2022 |
7267 | 2^338969+160175 | 102040 | Stefano Morozzi | 03/2022 |
7268 | 2^338967+13409 | 102040 | Stefano Morozzi | 04/2022 |
7269 | 2^338969+67635 | 102040 | Stefano Morozzi | 09/2022 |
7270 | 2^338969-15913 | 102040 | Stefano Morozzi | 01/2023 |
7271 | 2^338963-127455 | 102039 | Stefano Morozzi | 12/2021 |
7272 | 2^338963+132195 | 102039 | Stefano Morozzi | 02/2022 |
7273 | 2^338966+137919 | 102039 | Stefano Morozzi | 04/2022 |
7274 | 2^338963-87529 | 102039 | Stefano Morozzi | 12/2022 |
7275 | 2^338963-116859 | 102039 | Stefano Morozzi | 02/2023 |
7282 | (2^338982-7)/1754517 | 102038 | Lelio R Paula | 12/2013 |
7276 | 2^338960+53935 | 102038 | Stefano Morozzi | 01/2022 |
7277 | 2^338962+83157 | 102038 | Stefano Morozzi | 02/2022 |
7278 | 2^338961+12341 | 102038 | Stefano Morozzi | 04/2022 |
7279 | 2^338960+63933 | 102038 | Stefano Morozzi | 05/2022 |
7280 | 2^338960+170791 | 102038 | Stefano Morozzi | 11/2022 |
7281 | 2^338962+21679 | 102038 | Stefano Morozzi | 11/2022 |
7283 | 2^338959-30919 | 102037 | Stefano Morozzi | 02/2022 |
7284 | 2^338959+164769 | 102037 | Stefano Morozzi | 05/2022 |
7285 | 2^338958-43161 | 102037 | Stefano Morozzi | 02/2023 |
7286 | 2^338954-177003 | 102036 | Stefano Morozzi | 12/2021 |
7287 | 2^338954+154207 | 102036 | Stefano Morozzi | 01/2022 |
7288 | 2^338956+182493 | 102036 | Stefano Morozzi | 02/2022 |
7289 | 2^338954+162715 | 102036 | Stefano Morozzi | 04/2022 |
7290 | 2^338955-158241 | 102036 | Stefano Morozzi | 04/2022 |
7291 | 2^338956-33395 | 102036 | Stefano Morozzi | 04/2022 |
7292 | 2^338954+190915 | 102036 | Stefano Morozzi | 06/2022 |
7293 | 2^338955+41643 | 102036 | Stefano Morozzi | 09/2022 |
7294 | 2^338954+194427 | 102036 | Stefano Morozzi | 09/2022 |
7295 | 2^338956+117967 | 102036 | Stefano Morozzi | 09/2022 |
7296 | 2^338956+195495 | 102036 | Stefano Morozzi | 11/2022 |
7297 | 2^338954-186371 | 102036 | Stefano Morozzi | 12/2022 |
7298 | 2^338950+175077 | 102035 | Stefano Morozzi | 12/2021 |
7299 | 2^338951-51687 | 102035 | Stefano Morozzi | 12/2021 |
7300 | 2^338951+66123 | 102035 | Stefano Morozzi | 06/2022 |
7301 | 2^338950+19317 | 102035 | Stefano Morozzi | 09/2022 |
7302 | 2^338951-161479 | 102035 | Stefano Morozzi | 12/2022 |
7303 | 2^338950-66335 | 102035 | Stefano Morozzi | 01/2023 |
7304 | 2^338951-41611 | 102035 | Stefano Morozzi | 02/2023 |
7305 | 2^338952-142887 | 102035 | Stefano Morozzi | 02/2023 |
7306 | 2^338949+85449 | 102034 | Stefano Morozzi | 03/2022 |
7307 | 2^338949-184585 | 102034 | Stefano Morozzi | 04/2022 |
7308 | 2^338949-88555 | 102034 | Stefano Morozzi | 12/2022 |
7309 | 2^338948+49393 | 102034 | Stefano Morozzi | 02/2023 |
7310 | 2^338949-17601 | 102034 | Stefano Morozzi | 02/2023 |
7311 | 2^338943+127103 | 102033 | Stefano Morozzi | 12/2021 |
7312 | 2^338944-84003 | 102033 | Stefano Morozzi | 04/2022 |
7313 | 2^338945+138605 | 102033 | Stefano Morozzi | 05/2022 |
7314 | 2^338943+95133 | 102033 | Stefano Morozzi | 11/2022 |
7315 | 2^338943+147435 | 102033 | Stefano Morozzi | 11/2022 |
7316 | 2^338943-116067 | 102033 | Stefano Morozzi | 01/2023 |
7317 | 2^338940+78607 | 102032 | Stefano Morozzi | 01/2022 |
7318 | 2^338942-86687 | 102032 | Stefano Morozzi | 12/2022 |
7319 | 2^338939+151569 | 102031 | Stefano Morozzi | 12/2021 |
7320 | 2^338938+183975 | 102031 | Stefano Morozzi | 03/2022 |
7321 | 2^338937-33429 | 102031 | Stefano Morozzi | 04/2022 |
7322 | 2^338939-183259 | 102031 | Stefano Morozzi | 04/2022 |
7323 | 2^338937-139951 | 102031 | Stefano Morozzi | 01/2023 |
7324 | 2^338938-40151 | 102031 | Stefano Morozzi | 01/2023 |
7325 | 2^338938+74449 | 102031 | Stefano Morozzi | 02/2023 |
7326 | 2^338935+179999 | 102030 | Stefano Morozzi | 01/2022 |
7327 | 2^338936+84147 | 102030 | Stefano Morozzi | 03/2022 |
7328 | 2^338935+171261 | 102030 | Stefano Morozzi | 11/2022 |
7329 | 2^338936-41355 | 102030 | Stefano Morozzi | 01/2023 |
7330 | 2^338931+2349 | 102029 | Stefano Morozzi | 12/2021 |
7331 | 2^338933+79935 | 102029 | Stefano Morozzi | 01/2022 |
7332 | 2^338930+33819 | 102029 | Stefano Morozzi | 03/2022 |
7333 | 2^338931-31555 | 102029 | Stefano Morozzi | 03/2022 |
7334 | 2^338933+64169 | 102029 | Stefano Morozzi | 05/2022 |
7335 | 2^338932-184965 | 102029 | Stefano Morozzi | 06/2022 |
7336 | 2^338932+66943 | 102029 | Stefano Morozzi | 09/2022 |
7337 | 2^338932+92995 | 102029 | Stefano Morozzi | 09/2022 |
7338 | 2^338931+97001 | 102029 | Stefano Morozzi | 11/2022 |
7339 | 2^338932-165453 | 102029 | Stefano Morozzi | 01/2023 |
7340 | 2^338933-40899 | 102029 | Stefano Morozzi | 01/2023 |
7341 | 2^338928+2367 | 102028 | Stefano Morozzi | 12/2021 |
7342 | 2^338927+52779 | 102028 | Stefano Morozzi | 01/2022 |
7343 | 2^338927-79539 | 102028 | Stefano Morozzi | 02/2022 |
7344 | 2^338929+60819 | 102028 | Stefano Morozzi | 03/2022 |
7345 | 2^338928-156959 | 102028 | Stefano Morozzi | 03/2022 |
7346 | 2^338927-63919 | 102028 | Stefano Morozzi | 12/2022 |
7347 | 2^338925+106631 | 102027 | Stefano Morozzi | 01/2022 |
7348 | 2^338926+80235 | 102027 | Stefano Morozzi | 01/2022 |
7349 | 2^338926+41607 | 102027 | Stefano Morozzi | 09/2022 |
7350 | 2^338925+195435 | 102027 | Stefano Morozzi | 11/2022 |
7351 | 2^338924-92885 | 102027 | Stefano Morozzi | 02/2023 |
7352 | 2^338922-27291 | 102026 | Stefano Morozzi | 12/2021 |
7353 | 2^338919-103849 | 102025 | Stefano Morozzi | 01/2022 |
7354 | 2^338919+130221 | 102025 | Stefano Morozzi | 01/2022 |
7355 | 2^338918-91967 | 102025 | Stefano Morozzi | 02/2023 |
7356 | 2^338917+561057 | 102025 | Boyan Hu | 03/2024 |
7357 | 2^338914-79121 | 102024 | Stefano Morozzi | 02/2022 |
7358 | 2^338916+134047 | 102024 | Stefano Morozzi | 03/2022 |
7359 | 2^338914-11315 | 102024 | Stefano Morozzi | 12/2022 |
7360 | 2^338910+81027 | 102023 | Stefano Morozzi | 01/2022 |
7361 | 2^338912+179821 | 102023 | Stefano Morozzi | 01/2022 |
7362 | 2^338909+100769 | 102022 | Stefano Morozzi | 11/2021 |
7363 | 2^338908-100839 | 102022 | Stefano Morozzi | 12/2021 |
7364 | 2^338909-25951 | 102022 | Stefano Morozzi | 12/2021 |
7365 | 2^338909+66845 | 102022 | Stefano Morozzi | 09/2022 |
7366 | 2^338907+73509 | 102022 | Stefano Morozzi | 11/2022 |
7367 | 2^338906-25823 | 102021 | Stefano Morozzi | 12/2021 |
7368 | 2^338904+75951 | 102021 | Stefano Morozzi | 12/2021 |
7369 | 2^338906+6685 | 102021 | Stefano Morozzi | 01/2022 |
7370 | 2^338905+160365 | 102021 | Stefano Morozzi | 03/2022 |
7371 | 2^338906+92617 | 102021 | Stefano Morozzi | 09/2022 |
7372 | 2^338904+47065 | 102021 | Stefano Morozzi | 11/2022 |
7373 | 2^338905+70427 | 102021 | Stefano Morozzi | 11/2022 |
7374 | 2^338905-163975 | 102021 | Stefano Morozzi | 12/2022 |
7375 | 2^338903+4155 | 102020 | Stefano Morozzi | 01/2022 |
7376 | 2^338901+55571 | 102020 | Stefano Morozzi | 01/2022 |
7377 | 2^338901-55479 | 102020 | Stefano Morozzi | 02/2022 |
7378 | 2^338903+33555 | 102020 | Stefano Morozzi | 03/2022 |
7379 | 2^338901+39777 | 102020 | Stefano Morozzi | 05/2022 |
7380 | 2^338903+165981 | 102020 | Stefano Morozzi | 06/2022 |
7381 | 2^338901-34863 | 102020 | Stefano Morozzi | 06/2022 |
7382 | 2^338899-150051 | 102019 | Stefano Morozzi | 12/2021 |
7383 | 2^338899+125951 | 102019 | Stefano Morozzi | 12/2021 |
7384 | 2^338898+179623 | 102019 | Stefano Morozzi | 01/2022 |
7385 | 2^338899-154467 | 102019 | Stefano Morozzi | 02/2022 |
7386 | 2^338898-60753 | 102019 | Stefano Morozzi | 06/2022 |
7387 | 2^338898+68635 | 102019 | Stefano Morozzi | 09/2022 |
7388 | 2^338897-85963 | 102019 | Stefano Morozzi | 12/2022 |
7389 | 2^338898+174129 | 102019 | Stefano Morozzi | 02/2023 |
7390 | 2^338894-133295 | 102018 | Stefano Morozzi | 04/2022 |
7391 | 2^338894+165573 | 102018 | Stefano Morozzi | 06/2022 |
7392 | 2^338894-60957 | 102018 | Stefano Morozzi | 06/2022 |
7393 | 2^338894-89463 | 102018 | Stefano Morozzi | 01/2023 |
7403 | 2^338891-18885 | 102017 | Enzo Doria | 05/2013 |
7394 | 2^338891+26499 | 102017 | Stefano Morozzi | 12/2021 |
7395 | 2^338891-2625 | 102017 | Stefano Morozzi | 12/2021 |
7396 | 2^338893+128727 | 102017 | Stefano Morozzi | 01/2022 |
7397 | 2^338890-52965 | 102017 | Stefano Morozzi | 01/2022 |
7398 | 2^338892-55467 | 102017 | Stefano Morozzi | 02/2022 |
7399 | 2^338892-83393 | 102017 | Stefano Morozzi | 04/2022 |
7400 | 2^338893+13649 | 102017 | Stefano Morozzi | 05/2022 |
7401 | 2^338892+117957 | 102017 | Stefano Morozzi | 09/2022 |
7402 | 2^338892-14643 | 102017 | Stefano Morozzi | 01/2023 |
7404 | 2^338887+154029 | 102016 | Stefano Morozzi | 01/2022 |
7405 | 2^338889-104293 | 102016 | Stefano Morozzi | 02/2022 |
7406 | 2^338887+147741 | 102016 | Stefano Morozzi | 11/2022 |
7407 | 2^338889+195975 | 102016 | Stefano Morozzi | 11/2022 |
7408 | 2^338889-117873 | 102016 | Stefano Morozzi | 02/2023 |
7409 | 2^338886+177159 | 102015 | Stefano Morozzi | 12/2021 |
7410 | 2^338885+40425 | 102015 | Stefano Morozzi | 06/2022 |
7411 | 2^338884-13053 | 102015 | Stefano Morozzi | 12/2022 |
7412 | 2^338885-112569 | 102015 | Stefano Morozzi | 12/2022 |
7413 | 2^338880+11341 | 102014 | Stefano Morozzi | 03/2022 |
7414 | 2^338880-160383 | 102014 | Stefano Morozzi | 06/2022 |
7415 | 2^338880-161627 | 102014 | Stefano Morozzi | 12/2022 |
7416 | 2^338879-1059 | 102013 | Stefano Morozzi | 12/2021 |
7417 | 2^338879-54525 | 102013 | Stefano Morozzi | 02/2022 |
7418 | 2^338877-82813 | 102013 | Stefano Morozzi | 03/2022 |
7419 | 2^338878-185883 | 102013 | Stefano Morozzi | 06/2022 |
7420 | 2^338879-60355 | 102013 | Stefano Morozzi | 06/2022 |
7421 | 2^338878+43719 | 102013 | Stefano Morozzi | 09/2022 |
7422 | 2^338879+122049 | 102013 | Stefano Morozzi | 11/2022 |
7423 | 2^338874-15063 | 102012 | Stefano Morozzi | 01/2023 |
7424 | 2^338874+148993 | 102012 | Stefano Morozzi | 02/2023 |
7425 | 2^338871+7679 | 102011 | Stefano Morozzi | 02/2022 |
7426 | 2^338872+61141 | 102011 | Stefano Morozzi | 03/2022 |
7427 | 2^338872-183923 | 102011 | Stefano Morozzi | 04/2022 |
7428 | 2^338873+19527 | 102011 | Stefano Morozzi | 09/2022 |
7429 | 2^338870+70719 | 102011 | Stefano Morozzi | 11/2022 |
7430 | (19*10^102011+287)/9/3 | 102011 | Alfred Reich | 11/2022 |
7431 | 2^338870-37571 | 102011 | Stefano Morozzi | 12/2022 |
7432 | 2^338872-138573 | 102011 | Stefano Morozzi | 12/2022 |
7433 | 2^338873-63843 | 102011 | Stefano Morozzi | 12/2022 |
7434 | 2^338868-5985 | 102010 | Stefano Morozzi | 02/2022 |
7435 | 2^338867+38079 | 102010 | Stefano Morozzi | 05/2022 |
7436 | 2^338868+140437 | 102010 | Stefano Morozzi | 06/2022 |
7437 | 2^338868-110175 | 102010 | Stefano Morozzi | 06/2022 |
7438 | 2^338868+123337 | 102010 | Stefano Morozzi | 11/2022 |
7439 | 2^338867-13327 | 102010 | Stefano Morozzi | 12/2022 |
7440 | 2^338868-11279 | 102010 | Stefano Morozzi | 12/2022 |
7441 | 2^338868-115685 | 102010 | Stefano Morozzi | 01/2023 |
7442 | 2^338864+158191 | 102009 | Stefano Morozzi | 02/2022 |
7443 | 2^338865-39699 | 102009 | Stefano Morozzi | 01/2023 |
7444 | 2^338865-40789 | 102009 | Stefano Morozzi | 01/2023 |
7445 | 2^338862+60433 | 102008 | Stefano Morozzi | 03/2022 |
7446 | 2^338861-9453 | 102008 | Stefano Morozzi | 04/2022 |
7447 | 2^338861+98067 | 102008 | Stefano Morozzi | 11/2022 |
7448 | 2^338862+146545 | 102008 | Stefano Morozzi | 11/2022 |
7449 | 2^338863-186207 | 102008 | Stefano Morozzi | 12/2022 |
7450 | 2^338860-41429 | 102008 | Stefano Morozzi | 01/2023 |
7451 | 2^338862-115833 | 102008 | Stefano Morozzi | 01/2023 |
7452 | 2^338863+74259 | 102008 | Stefano Morozzi | 02/2023 |
7453 | 2^338863-193017 | 102008 | Stefano Morozzi | 02/2023 |
7454 | 2^338858-190185 | 102007 | Stefano Morozzi | 01/2023 |
7455 | 2^338855+102141 | 102006 | Stefano Morozzi | 12/2021 |
7456 | 2^338856-27173 | 102006 | Stefano Morozzi | 12/2021 |
7457 | 2^338856-102839 | 102006 | Stefano Morozzi | 01/2022 |
7458 | 2^338855+79629 | 102006 | Stefano Morozzi | 01/2022 |
7459 | 2^338856+47755 | 102006 | Stefano Morozzi | 11/2022 |
7460 | 2^338850+27987 | 102005 | Stefano Morozzi | 01/2022 |
7461 | 2^338853+111791 | 102005 | Stefano Morozzi | 04/2022 |
7462 | 2^338852+145797 | 102005 | Stefano Morozzi | 11/2022 |
7463 | 2^338852-88497 | 102005 | Stefano Morozzi | 12/2022 |
7464 | 2^338850+124843 | 102005 | Stefano Morozzi | 02/2023 |
7465 | 2^338853-167695 | 102005 | Stefano Morozzi | 02/2023 |
7466 | 2^338847+176013 | 102004 | Stefano Morozzi | 12/2021 |
7467 | 2^338847-2365 | 102004 | Stefano Morozzi | 12/2021 |
7468 | 2^338848+158941 | 102004 | Stefano Morozzi | 03/2022 |
7469 | 2^338848+16671 | 102004 | Stefano Morozzi | 06/2022 |
7470 | 2^338847-35061 | 102004 | Stefano Morozzi | 06/2022 |
7471 | 2^338848+145063 | 102004 | Stefano Morozzi | 11/2022 |
7472 | 2^338847-61885 | 102004 | Stefano Morozzi | 12/2022 |
7473 | 2^338845+135831 | 102003 | Stefano Morozzi | 03/2022 |
7474 | 2^338846+85695 | 102003 | Stefano Morozzi | 03/2022 |
7475 | 2^338845+186525 | 102003 | Stefano Morozzi | 04/2022 |
7476 | 2^338846-163473 | 102003 | Stefano Morozzi | 12/2022 |
7477 | 2^338844-16077 | 102003 | Stefano Morozzi | 01/2023 |
7478 | 2^338844-165143 | 102003 | Stefano Morozzi | 01/2023 |
7479 | 2^338843-127261 | 102002 | Stefano Morozzi | 12/2021 |
7480 | 2^338843+107205 | 102002 | Stefano Morozzi | 02/2022 |
7481 | 2^338842-33185 | 102002 | Stefano Morozzi | 04/2022 |
7482 | 2^338842+14227 | 102002 | Stefano Morozzi | 05/2022 |
7483 | 2^338842+147973 | 102002 | Stefano Morozzi | 11/2022 |
7491 | 8*10^102000+51 | 102001 | Robert Price | 08/2019 |
7484 | 2^338838+150837 | 102001 | Stefano Morozzi | 11/2021 |
7485 | 2^338838+141397 | 102001 | Stefano Morozzi | 06/2022 |
7486 | 2^338839+194363 | 102001 | Stefano Morozzi | 09/2022 |
7487 | 2^338838+95637 | 102001 | Stefano Morozzi | 11/2022 |
7488 | 2^338839+171545 | 102001 | Stefano Morozzi | 11/2022 |
7489 | 2^338837-40071 | 102001 | Stefano Morozzi | 01/2023 |
7490 | 2^338838-90251 | 102001 | Stefano Morozzi | 01/2023 |
7492 | 2^338835-150625 | 102000 | Stefano Morozzi | 12/2021 |
7493 | 2^338834-32877 | 102000 | Stefano Morozzi | 04/2022 |
7497 | (2^338832+642)/2 | 101999 | Stefano Morozzi | 09/2020 |
7494 | 2^338833-100905 | 101999 | Stefano Morozzi | 12/2021 |
7495 | 2^338831+54419 | 101999 | Stefano Morozzi | 01/2022 |
7496 | 2^338831-63687 | 101999 | Stefano Morozzi | 12/2022 |
7498 | 2^338830+25017 | 101998 | Stefano Morozzi | 11/2021 |
7499 | 2^338831+321 | 101998 | Stefano Morozzi | 11/2021 |
7500 | 2^338827-26197 | 101998 | Stefano Morozzi | 12/2021 |