## PRP Records

### Probable Primes Top 10000

#### (295158 PRPs in the top)

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) !!!

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 1-250 251-500 501-750 751-1000 1001-1250 1251-1500 1501-1750 1751-2000 2001-2250 2251-2500 2501-2750 2751-3000 3001-3250 3251-3500 3501-3750 3751-4000 4001-4250 4251-4500 4501-4750 4751-5000 5001-5250 5251-5500 5501-5750 5751-6000 6001-6250 6251-6500 6501-6750 6751-7000 7001-7250 7251-7500 7501-7750 7751-8000 8001-8250 8251-8500 8501-8750 8751-9000 9001-9250 9251-9500 9501-9750 9751-10000

 Rank Probable prime Digits (> 50000) Who ? When ? 7251 (3^214516-2)/51383 102346 Lelio R Paula 12/2013 7252 20^78661-99 102341 Lelio R Paula 09/2016 7254 2^339951-19585 102336 Enzo Doria 05/2013 7253 (17*10^102335-167)/3 102336 Robert Price 05/2022 7255 (13*2^339943+1)/45 102333 Lelio R Paula 12/2013 7256 (236282#+121441)/(121441*25499429) 102332 Makoto Morimoto 08/2020 7257 5*10^102323-91 102324 Robert Price 03/2021 7259 2^339889+29327 102317 Yves Minet 06/2010 7258 (167*10^102315-17)/3 102317 Robert Price 03/2020 7260 26348^7641+7641^26348 102314 Hans Havermann 03/2019 7261 Phi(239414,10)/6333218543 102303 Makoto Kamada 08/2019 7262 2^339834-109493 102301 Enzo Doria 04/2014 7263 (16*10^102299-19)/3 102300 Robert Price 02/2019 7264 (11^98221-5^98221)/6 102286 Robert Price 01/2013 7265 3^214365+1820 102279 Lelio R Paula 10/2016 7266 31978^1579+1579^31978 102278 Hans Havermann 03/2019 7267 (89*10^102262-467)/9 102263 Robert Price 04/2022 7268 (11*2^339705-1)/183 102261 Lelio R Paula 03/2014 7269 2^339694-16995 102259 Lelio R Paula 09/2016 7270 (56*10^102255+691)/9 102256 Robert Price 05/2019 7271 122^49008+121 102249 Norbert Schneider 10/2018 7272 (2^339652+3178)/2 102246 Stefano Morozzi 09/2020 7273 7^120985-38 102245 Lelio R Paula 10/2016 7274 10^102244+122961 102245 Patrick De Geest 12/2016 7275 10^102244-27 102244 Lelio R Paula 09/2016 7276 7^120982-62 102242 Lelio R Paula 10/2016 7277 (2^339640+2670)/2 102242 Stefano Morozzi 09/2020 7278 4*6^131382-5 102236 Lelio R Paula 11/2014 7279 (2^339607+3290)/2 102232 Stefano Morozzi 02/2021 7280 2^339586-1091 102226 Yves Minet 11/2012 7281 11^98161-3072000 102225 Enzo Doria 12/2012 7282 9*7^120961-4 102225 Lelio R Paula 11/2014 7283 5*3^214250+2 102224 Serge Batalov 10/2010 7284 12^94713-59 102213 Lelio R Paula 10/2016 7285 12^94705+89 102204 Lelio R Paula 10/2016 7286 2^339407-177 102172 Lelio R Paula 08/2011 7287 4*10^102163-57 102164 Robert Price 10/2018 7288 2^339355+65 102157 Lelio R Paula 07/2011 7289 (28*10^102142-31)/3 102143 Robert Price 12/2019 7290 (2^339323+47)/880715 102141 Lelio R Paula 12/2013 7291 (2^339268+1758)/2 102130 Stefano Morozzi 09/2020 7292 s(178551) 102122 Robert Price 05/2020 7293 (797*10^102112-23)/9 102114 Robert Price 01/2022 7294 (5*10^102107+7)/3 102108 Tyler Busby 02/2023 7295 (2^339175+2790)/2 102102 Stefano Morozzi 02/2021 7297 2^339168+21 102100 Lelio R Paula 07/2011 7298 2^339167-108807 102100 Enzo Doria 03/2014 7296 (2^339169+42)/2 102100 Stefano Morozzi 09/2020 7299 2^339156+163 102097 Lelio R Paula 08/2011 7300 (2^339149+746)/2 102094 Stefano Morozzi 09/2020 7301 (25*10^102076-67)/3 102077 Robert Price 06/2019 7302 2^339081-4543 102074 Yves Minet 03/2019 7303 (3435^28867-1)/3434 102069 Serge Batalov 06/2022 7304 2*10^102062+77 102063 Robert Price 08/2020 7306 24327^15668+15668^24327 102053 Hans Havermann 02/2019 7305 10^102052+66793 102053 Patrick De Geest 09/2022 7307 10^102052-7000001 102052 Robert Price 06/2021 7308 10^102052-618623 102052 Patrick De Geest 09/2022 7309 2^339000-175635 102050 Stefano Morozzi 12/2021 7310 2^339000-151667 102050 Stefano Morozzi 12/2021 7311 2^338999+79289 102049 Stefano Morozzi 01/2022 7312 2^338998-63897 102049 Stefano Morozzi 12/2022 7313 2^338997+99659 102049 Stefano Morozzi 02/2023 7314 2^338994+188757 102048 Stefano Morozzi 05/2022 7315 2^338995+70785 102048 Stefano Morozzi 11/2022 7316 2^338994-12183 102048 Stefano Morozzi 12/2022 7317 2^338992+181591 102047 Stefano Morozzi 01/2022 7318 2^338992+136171 102047 Stefano Morozzi 03/2022 7319 2^338991-109435 102047 Stefano Morozzi 04/2022 7320 2^338991+193611 102047 Stefano Morozzi 09/2022 7321 2^338988-134619 102046 Stefano Morozzi 04/2022 7322 2^338987-62557 102046 Stefano Morozzi 12/2022 7323 2^338986-60141 102045 Stefano Morozzi 06/2022 7324 2^338986+98209 102045 Stefano Morozzi 11/2022 7325 2^338981+106391 102044 Stefano Morozzi 01/2022 7326 2^338982+34069 102044 Stefano Morozzi 03/2022 7327 2^338982-58781 102044 Stefano Morozzi 04/2022 7328 2^338980+70833 102044 Stefano Morozzi 11/2022 7329 2^338982-92111 102044 Stefano Morozzi 02/2023 7330 2^338977+83007 102043 Stefano Morozzi 02/2022 7331 2^338979-83601 102043 Stefano Morozzi 04/2022 7332 2^338975+28355 102042 Stefano Morozzi 01/2022 7333 2^338973+134619 102042 Stefano Morozzi 03/2022 7334 2^338974+183777 102042 Stefano Morozzi 03/2022 7335 2^338975+69293 102042 Stefano Morozzi 09/2022 7343 25080^11711+11711^25080 102041 Hans Havermann 02/2019 7336 2^338972+152343 102041 Stefano Morozzi 12/2021 7337 2^338972-180623 102041 Stefano Morozzi 02/2022 7338 2^338972+84441 102041 Stefano Morozzi 03/2022 7339 2^338971+64875 102041 Stefano Morozzi 05/2022 7340 2^338971+44985 102041 Stefano Morozzi 11/2022 7341 2^338971+145065 102041 Stefano Morozzi 11/2022 7342 2^338972-16635 102041 Stefano Morozzi 01/2023 7344 2^338968+53461 102040 Stefano Morozzi 01/2022 7345 2^338969+160175 102040 Stefano Morozzi 03/2022 7346 2^338967+13409 102040 Stefano Morozzi 04/2022 7347 2^338969+67635 102040 Stefano Morozzi 09/2022 7348 2^338969-15913 102040 Stefano Morozzi 01/2023 7349 2^338963-127455 102039 Stefano Morozzi 12/2021 7350 2^338963+132195 102039 Stefano Morozzi 02/2022 7351 2^338966+137919 102039 Stefano Morozzi 04/2022 7352 2^338963-87529 102039 Stefano Morozzi 12/2022 7353 2^338963-116859 102039 Stefano Morozzi 02/2023 7360 (2^338982-7)/1754517 102038 Lelio R Paula 12/2013 7354 2^338960+53935 102038 Stefano Morozzi 01/2022 7355 2^338962+83157 102038 Stefano Morozzi 02/2022 7356 2^338961+12341 102038 Stefano Morozzi 04/2022 7357 2^338960+63933 102038 Stefano Morozzi 05/2022 7358 2^338960+170791 102038 Stefano Morozzi 11/2022 7359 2^338962+21679 102038 Stefano Morozzi 11/2022 7361 2^338959-30919 102037 Stefano Morozzi 02/2022 7362 2^338959+164769 102037 Stefano Morozzi 05/2022 7363 2^338958-43161 102037 Stefano Morozzi 02/2023 7364 2^338954-177003 102036 Stefano Morozzi 12/2021 7365 2^338954+154207 102036 Stefano Morozzi 01/2022 7366 2^338956+182493 102036 Stefano Morozzi 02/2022 7367 2^338954+162715 102036 Stefano Morozzi 04/2022 7368 2^338955-158241 102036 Stefano Morozzi 04/2022 7369 2^338956-33395 102036 Stefano Morozzi 04/2022 7370 2^338954+190915 102036 Stefano Morozzi 06/2022 7371 2^338955+41643 102036 Stefano Morozzi 09/2022 7372 2^338954+194427 102036 Stefano Morozzi 09/2022 7373 2^338956+117967 102036 Stefano Morozzi 09/2022 7374 2^338956+195495 102036 Stefano Morozzi 11/2022 7375 2^338954-186371 102036 Stefano Morozzi 12/2022 7376 2^338950+175077 102035 Stefano Morozzi 12/2021 7377 2^338951-51687 102035 Stefano Morozzi 12/2021 7378 2^338951+66123 102035 Stefano Morozzi 06/2022 7379 2^338950+19317 102035 Stefano Morozzi 09/2022 7380 2^338951-161479 102035 Stefano Morozzi 12/2022 7381 2^338950-66335 102035 Stefano Morozzi 01/2023 7382 2^338951-41611 102035 Stefano Morozzi 02/2023 7383 2^338952-142887 102035 Stefano Morozzi 02/2023 7384 2^338949+85449 102034 Stefano Morozzi 03/2022 7385 2^338949-184585 102034 Stefano Morozzi 04/2022 7386 2^338949-88555 102034 Stefano Morozzi 12/2022 7387 2^338948+49393 102034 Stefano Morozzi 02/2023 7388 2^338949-17601 102034 Stefano Morozzi 02/2023 7389 2^338943+127103 102033 Stefano Morozzi 12/2021 7390 2^338944-84003 102033 Stefano Morozzi 04/2022 7391 2^338945+138605 102033 Stefano Morozzi 05/2022 7392 2^338943+95133 102033 Stefano Morozzi 11/2022 7393 2^338943+147435 102033 Stefano Morozzi 11/2022 7394 2^338943-116067 102033 Stefano Morozzi 01/2023 7395 2^338940+78607 102032 Stefano Morozzi 01/2022 7396 2^338942-86687 102032 Stefano Morozzi 12/2022 7397 2^338939+151569 102031 Stefano Morozzi 12/2021 7398 2^338938+183975 102031 Stefano Morozzi 03/2022 7399 2^338937-33429 102031 Stefano Morozzi 04/2022 7400 2^338939-183259 102031 Stefano Morozzi 04/2022 7401 2^338937-139951 102031 Stefano Morozzi 01/2023 7402 2^338938-40151 102031 Stefano Morozzi 01/2023 7403 2^338938+74449 102031 Stefano Morozzi 02/2023 7404 2^338935+179999 102030 Stefano Morozzi 01/2022 7405 2^338936+84147 102030 Stefano Morozzi 03/2022 7406 2^338935+171261 102030 Stefano Morozzi 11/2022 7407 2^338936-41355 102030 Stefano Morozzi 01/2023 7408 2^338931+2349 102029 Stefano Morozzi 12/2021 7409 2^338933+79935 102029 Stefano Morozzi 01/2022 7410 2^338930+33819 102029 Stefano Morozzi 03/2022 7411 2^338931-31555 102029 Stefano Morozzi 03/2022 7412 2^338933+64169 102029 Stefano Morozzi 05/2022 7413 2^338932-184965 102029 Stefano Morozzi 06/2022 7414 2^338932+66943 102029 Stefano Morozzi 09/2022 7415 2^338932+92995 102029 Stefano Morozzi 09/2022 7416 2^338931+97001 102029 Stefano Morozzi 11/2022 7417 2^338932-165453 102029 Stefano Morozzi 01/2023 7418 2^338933-40899 102029 Stefano Morozzi 01/2023 7419 2^338928+2367 102028 Stefano Morozzi 12/2021 7420 2^338927+52779 102028 Stefano Morozzi 01/2022 7421 2^338927-79539 102028 Stefano Morozzi 02/2022 7422 2^338929+60819 102028 Stefano Morozzi 03/2022 7423 2^338928-156959 102028 Stefano Morozzi 03/2022 7424 2^338927-63919 102028 Stefano Morozzi 12/2022 7425 2^338925+106631 102027 Stefano Morozzi 01/2022 7426 2^338926+80235 102027 Stefano Morozzi 01/2022 7427 2^338926+41607 102027 Stefano Morozzi 09/2022 7428 2^338925+195435 102027 Stefano Morozzi 11/2022 7429 2^338924-92885 102027 Stefano Morozzi 02/2023 7430 2^338922-27291 102026 Stefano Morozzi 12/2021 7431 2^338919-103849 102025 Stefano Morozzi 01/2022 7432 2^338919+130221 102025 Stefano Morozzi 01/2022 7433 2^338918-91967 102025 Stefano Morozzi 02/2023 7434 2^338917+561057 102025 Boyan Hu 03/2024 7435 2^338914-79121 102024 Stefano Morozzi 02/2022 7436 2^338916+134047 102024 Stefano Morozzi 03/2022 7437 2^338914-11315 102024 Stefano Morozzi 12/2022 7438 2^338910+81027 102023 Stefano Morozzi 01/2022 7439 2^338912+179821 102023 Stefano Morozzi 01/2022 7440 2^338909+100769 102022 Stefano Morozzi 11/2021 7441 2^338908-100839 102022 Stefano Morozzi 12/2021 7442 2^338909-25951 102022 Stefano Morozzi 12/2021 7443 2^338909+66845 102022 Stefano Morozzi 09/2022 7444 2^338907+73509 102022 Stefano Morozzi 11/2022 7445 2^338906-25823 102021 Stefano Morozzi 12/2021 7446 2^338904+75951 102021 Stefano Morozzi 12/2021 7447 2^338906+6685 102021 Stefano Morozzi 01/2022 7448 2^338905+160365 102021 Stefano Morozzi 03/2022 7449 2^338906+92617 102021 Stefano Morozzi 09/2022 7450 2^338904+47065 102021 Stefano Morozzi 11/2022 7451 2^338905+70427 102021 Stefano Morozzi 11/2022 7452 2^338905-163975 102021 Stefano Morozzi 12/2022 7453 2^338903+4155 102020 Stefano Morozzi 01/2022 7454 2^338901+55571 102020 Stefano Morozzi 01/2022 7455 2^338901-55479 102020 Stefano Morozzi 02/2022 7456 2^338903+33555 102020 Stefano Morozzi 03/2022 7457 2^338901+39777 102020 Stefano Morozzi 05/2022 7458 2^338903+165981 102020 Stefano Morozzi 06/2022 7459 2^338901-34863 102020 Stefano Morozzi 06/2022 7460 2^338899-150051 102019 Stefano Morozzi 12/2021 7461 2^338899+125951 102019 Stefano Morozzi 12/2021 7462 2^338898+179623 102019 Stefano Morozzi 01/2022 7463 2^338899-154467 102019 Stefano Morozzi 02/2022 7464 2^338898-60753 102019 Stefano Morozzi 06/2022 7465 2^338898+68635 102019 Stefano Morozzi 09/2022 7466 2^338897-85963 102019 Stefano Morozzi 12/2022 7467 2^338898+174129 102019 Stefano Morozzi 02/2023 7468 2^338894-133295 102018 Stefano Morozzi 04/2022 7469 2^338894+165573 102018 Stefano Morozzi 06/2022 7470 2^338894-60957 102018 Stefano Morozzi 06/2022 7471 2^338894-89463 102018 Stefano Morozzi 01/2023 7481 2^338891-18885 102017 Enzo Doria 05/2013 7472 2^338891+26499 102017 Stefano Morozzi 12/2021 7473 2^338891-2625 102017 Stefano Morozzi 12/2021 7474 2^338893+128727 102017 Stefano Morozzi 01/2022 7475 2^338890-52965 102017 Stefano Morozzi 01/2022 7476 2^338892-55467 102017 Stefano Morozzi 02/2022 7477 2^338892-83393 102017 Stefano Morozzi 04/2022 7478 2^338893+13649 102017 Stefano Morozzi 05/2022 7479 2^338892+117957 102017 Stefano Morozzi 09/2022 7480 2^338892-14643 102017 Stefano Morozzi 01/2023 7482 2^338887+154029 102016 Stefano Morozzi 01/2022 7483 2^338889-104293 102016 Stefano Morozzi 02/2022 7484 2^338887+147741 102016 Stefano Morozzi 11/2022 7485 2^338889+195975 102016 Stefano Morozzi 11/2022 7486 2^338889-117873 102016 Stefano Morozzi 02/2023 7487 2^338886+177159 102015 Stefano Morozzi 12/2021 7488 2^338885+40425 102015 Stefano Morozzi 06/2022 7489 2^338884-13053 102015 Stefano Morozzi 12/2022 7490 2^338885-112569 102015 Stefano Morozzi 12/2022 7491 2^338880+11341 102014 Stefano Morozzi 03/2022 7492 2^338880-160383 102014 Stefano Morozzi 06/2022 7493 2^338880-161627 102014 Stefano Morozzi 12/2022 7494 2^338879-1059 102013 Stefano Morozzi 12/2021 7495 2^338879-54525 102013 Stefano Morozzi 02/2022 7496 2^338877-82813 102013 Stefano Morozzi 03/2022 7497 2^338878-185883 102013 Stefano Morozzi 06/2022 7498 2^338879-60355 102013 Stefano Morozzi 06/2022 7499 2^338878+43719 102013 Stefano Morozzi 09/2022 7500 2^338879+122049 102013 Stefano Morozzi 11/2022

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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: May, 27 2024 13:30 (Time in France)

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