## PRP Records

### Probable Primes Top 10000

#### (293510 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) !!!

Submit your PRPs

See the Top discoverers
See the Latest PRPs
Search by form

 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 ? 8704 25206!+p(4114) 100001 Henri Lifchitz 09/2005 8705 25206!-p(5447) 100001 Henri Lifchitz 10/2005 8706 25206!-p(12402) 100001 Henri Lifchitz 04/2006 8707 25206!-p(16290) 100001 Henri Lifchitz 09/2006 8708 25206!-p(19647) 100001 Henri Lifchitz 02/2007 8709 2^332194+11473 100001 Henri Lifchitz 03/2007 8699 10^100000+342909 100001 Milton L. Brown 12/2007 8700 10^100000+346579 100001 Robert Price 04/2012 8701 10^100000+829767 100001 Robert Price 05/2012 8702 10^100000+871899 100001 Robert Price 05/2012 8703 10^100000+1475997 100001 Robert Price 07/2012 8692 10^100000+1751769 100001 Robert Price 08/2012 8693 10^100000+2155489 100001 Robert Price 10/2012 8694 10^100000+2483527 100001 Robert Price 12/2012 8695 10^100000+2503087 100001 Robert Price 12/2012 8696 10^100000+2686179 100001 Robert Price 12/2012 8697 10^100000+2688933 100001 Robert Price 12/2012 8698 10^100000+3667159 100001 Robert Price 08/2013 8501 2^332196-1-2*29696 100001 Matt Stath 11/2018 8502 10^100000+12363957 100001 Robert Price 11/2018 8503 2^332196+1+2*17152 100001 Matt Stath 12/2018 8504 10^100000+12778033 100001 Robert Price 02/2019 8505 10^100000+13581679 100001 Robert Price 05/2019 8506 10^100000+13613199 100001 Robert Price 05/2019 8507 10^100000+13752327 100001 Robert Price 05/2019 8508 10^100000+14139243 100001 Robert Price 06/2019 8509 10^100000+14151057 100001 Robert Price 06/2019 8510 10^100000+14218923 100001 Robert Price 06/2019 8672 10^100000+15136771 100001 Robert Price 09/2019 8673 10^100000+15219873 100001 Robert Price 10/2019 8674 10^100000+15274039 100001 Robert Price 10/2019 8675 10^100000+15394069 100001 Robert Price 10/2019 8676 10^100000+15547119 100001 Robert Price 10/2019 8677 10^100000+15932923 100001 Robert Price 11/2019 8678 10^100000+16345467 100001 Robert Price 12/2019 8679 10^100000+16672143 100001 Robert Price 01/2020 8680 10^100000+16731939 100001 Robert Price 02/2020 8681 10^100000+16907049 100001 Robert Price 03/2020 8682 10^100000+17652523 100001 Robert Price 05/2020 8683 10^100000+18047167 100001 Robert Price 05/2020 8684 10^100000+18471819 100001 Robert Price 06/2020 8685 10^100000+18494793 100001 Robert Price 07/2020 8686 10^100000+18762609 100001 Robert Price 07/2020 8687 10^100000+19204141 100001 Robert Price 08/2020 8688 10^100000+19349793 100001 Robert Price 08/2020 8689 10^100000+19495699 100001 Robert Price 09/2020 8690 10^100000+19668927 100001 Robert Price 09/2020 8691 10^100000+19704313 100001 Robert Price 09/2020 8641 10^100000+19956229 100001 Robert Price 09/2020 8642 10^100000+3*(10^37093-1)/9*10^31454+1 100001 Makoto Morimoto 09/2020 8643 10^100000+4*(10^36149-1)/9*10^31926+1 100001 Makoto Morimoto 09/2020 8644 10^100000+6*(10^41029-1)/9*10^29486+1 100001 Makoto Morimoto 09/2020 8645 10^100000+7*(10^55505-1)/9*10^22248+1 100001 Makoto Morimoto 09/2020 8646 10^100000+20234607 100001 Robert Price 10/2020 8647 10^100000+20752303 100001 Robert Price 11/2020 8648 10^100000+20774041 100001 Robert Price 11/2020 8649 10^100000+20854741 100001 Robert Price 11/2020 8650 10^100000+20908917 100001 Robert Price 11/2020 8651 10^100000+20994793 100001 Robert Price 11/2020 8652 10^100000+21354249 100001 Robert Price 12/2020 8653 10^100000+21455559 100001 Robert Price 12/2020 8654 10^100000+21538873 100001 Robert Price 12/2020 8655 10^100000+21830901 100001 Robert Price 01/2021 8656 10^100000+21842629 100001 Robert Price 01/2021 8657 10^100000+21930861 100001 Robert Price 01/2021 8658 10^100000+22092943 100001 Robert Price 03/2021 8659 10^100000+22278417 100001 Robert Price 03/2021 8660 10^100000+22388581 100001 Robert Price 03/2021 8661 10^100000+22390933 100001 Robert Price 03/2021 8662 10^100000+22436169 100001 Robert Price 03/2021 8663 10^100000+22714557 100001 Robert Price 04/2021 8664 10^100000+22847671 100001 Robert Price 04/2021 8665 10^100000+23178567 100001 Robert Price 05/2021 8666 10^100000+23332003 100001 Robert Price 05/2021 8667 10^100000+23414571 100001 Robert Price 05/2021 8668 10^100000+23529979 100001 Robert Price 05/2021 8669 10^100000+23749243 100001 Robert Price 06/2021 8670 10^100000+23821771 100001 Robert Price 06/2021 8671 10^100000+24179307 100001 Robert Price 07/2021 8511 10^100000+24543147 100001 Robert Price 08/2021 8512 10^100000+24781659 100001 Robert Price 08/2021 8513 10^100000+24906153 100001 Robert Price 08/2021 8514 10^100000+25682679 100001 Robert Price 10/2021 8515 10^100000+25905301 100001 Robert Price 10/2021 8516 10^100000+25923967 100001 Robert Price 10/2021 8517 10^100000+26061691 100001 Robert Price 10/2021 8518 10^100000+26173351 100001 Robert Price 11/2021 8519 10^100000+26673487 100001 Robert Price 11/2021 8520 10^100000+26849359 100001 Robert Price 12/2021 8521 10^100000+26893887 100001 Robert Price 12/2021 8522 10^100000+26954551 100001 Robert Price 12/2021 8523 10^100000+27024543 100001 Robert Price 12/2021 8524 10^100000+27060877 100001 Robert Price 12/2021 8525 10^100000+27617577 100001 Robert Price 03/2022 8526 10^100000+27869671 100001 Robert Price 03/2022 8527 10^100000+27956481 100001 Robert Price 03/2022 8528 10^100000+28078261 100001 Robert Price 03/2022 8529 10^100000+28150203 100001 Robert Price 03/2022 8530 10^100000+28626021 100001 Robert Price 05/2022 8531 10^100000+28649299 100001 Robert Price 05/2022 8532 10^100000+29409799 100001 Robert Price 06/2022 8533 10^100000+29415577 100001 Robert Price 06/2022 8534 10^100000+29424201 100001 Robert Price 06/2022 8535 10^100000+29610153 100001 Robert Price 07/2022 8536 10^100000+30166789 100001 Robert Price 07/2022 8537 10^100000+30338259 100001 Robert Price 07/2022 8538 10^100000+30540031 100001 Robert Price 07/2022 8539 10^100000+30635157 100001 Robert Price 07/2022 8540 10^100000+30762711 100001 Robert Price 07/2022 8541 10^100000+30862057 100001 Robert Price 07/2022 8542 10^100000+30998953 100001 Robert Price 07/2022 8543 10^100000+31405203 100001 Robert Price 07/2022 8544 10^100000+40159119 100001 Robert Price 07/2022 8545 10^100000+40181863 100001 Robert Price 07/2022 8546 10^100000+40277131 100001 Robert Price 07/2022 8547 10^100000+40326061 100001 Robert Price 07/2022 8548 10^100000+40417411 100001 Robert Price 07/2022 8549 10^100000+50049909 100001 Robert Price 07/2022 8550 10^100000+50510163 100001 Robert Price 07/2022 8551 10^100000+50591583 100001 Robert Price 07/2022 8552 10^100000+50850357 100001 Robert Price 07/2022 8553 10^100000+50974641 100001 Robert Price 07/2022 8554 10^100000+51046671 100001 Robert Price 07/2022 8555 10^100000+51459657 100001 Robert Price 07/2022 8556 10^100000+70081471 100001 Robert Price 07/2022 8557 10^100000+70159557 100001 Robert Price 07/2022 8558 10^100000+70262479 100001 Robert Price 07/2022 8559 10^100000+70417521 100001 Robert Price 07/2022 8560 10^100000+70476531 100001 Robert Price 07/2022 8561 10^100000+70534627 100001 Robert Price 07/2022 8562 10^100000+70873077 100001 Robert Price 07/2022 8563 10^100000+71114643 100001 Robert Price 07/2022 8564 10^100000+71272539 100001 Robert Price 07/2022 8565 10^100000+80025337 100001 Robert Price 07/2022 8566 10^100000+71580817 100001 Robert Price 07/2022 8567 10^100000+80270349 100001 Robert Price 07/2022 8568 10^100000+29831551 100001 Robert Price 07/2022 8569 10^100000+29955417 100001 Robert Price 08/2022 8570 479072067*10^99992+1+2*1779 100001 Matt Stath 12/2022 8571 10^100000+90000000+851439 100001 Robert Price 04/2023 8572 10^100000+90000000+1088017 100001 Robert Price 04/2023 8573 10^100000+90000000+1288173 100001 Robert Price 04/2023 8574 10^100000+90000000+1324549 100001 Robert Price 04/2023 8575 10^100000+90000000+3643869 100001 Robert Price 04/2023 8576 10^100000+110000000+60221 100001 Robert Price 04/2023 8577 10^100000+110000000+373261 100001 Robert Price 04/2023 8578 10^100000+110000000+497513 100001 Robert Price 04/2023 8579 10^100000+120000000+33823 100001 Robert Price 04/2023 8580 10^100000+120000000+419053 100001 Robert Price 04/2023 8581 10^100000+32110183 100001 Robert Price 09/2023 8582 10^100000+32401957 100001 Robert Price 09/2023 8583 10^100000+32301613 100001 Robert Price 09/2023 8584 10^100000+32784673 100001 Robert Price 09/2023 8585 10^100000+32896891 100001 Robert Price 09/2023 8586 10^100000+33279769 100001 Robert Price 09/2023 8587 10^100000+33648571 100001 Robert Price 09/2023 8588 10^100000+35157571 100001 Robert Price 09/2023 8589 10^100000+35226249 100001 Robert Price 09/2023 8590 10^100000+35282473 100001 Robert Price 09/2023 8591 10^100000+35948761 100001 Robert Price 09/2023 8592 10^100000+36443959 100001 Robert Price 09/2023 8593 10^100000+36497599 100001 Robert Price 09/2023 8594 10^100000+36558403 100001 Robert Price 09/2023 8595 10^100000+36812521 100001 Robert Price 09/2023 8596 10^100000+36858877 100001 Robert Price 09/2023 8597 10^100000+37230043 100001 Robert Price 09/2023 8598 10^100000+37449007 100001 Robert Price 09/2023 8599 10^100000+37329319 100001 Robert Price 09/2023 8600 10^100000+37677673 100001 Robert Price 09/2023 8601 10^100000+37696443 100001 Robert Price 09/2023 8602 10^100000+37782939 100001 Robert Price 09/2023 8603 10^100000+37952341 100001 Robert Price 09/2023 8604 10^100000+37954359 100001 Robert Price 09/2023 8605 10^100000+37962607 100001 Robert Price 09/2023 8606 10^100000+38385177 100001 Robert Price 09/2023 8607 10^100000+38497629 100001 Robert Price 09/2023 8608 10^100000+38506677 100001 Robert Price 09/2023 8609 10^100000+38707363 100001 Robert Price 09/2023 8610 10^100000+38769241 100001 Robert Price 09/2023 8611 10^100000+38974447 100001 Robert Price 09/2023 8612 10^100000+39124453 100001 Robert Price 09/2023 8613 10^100000+39127687 100001 Robert Price 09/2023 8614 10^100000+39197317 100001 Robert Price 09/2023 8615 10^100000+39465897 100001 Robert Price 09/2023 8616 10^100000+40588669 100001 Robert Price 09/2023 8617 10^100000+40944997 100001 Robert Price 09/2023 8618 10^100000+40948201 100001 Robert Price 09/2023 8619 10^100000+41456151 100001 Robert Price 09/2023 8620 10^100000+41492707 100001 Robert Price 09/2023 8621 10^100000+41653389 100001 Robert Price 09/2023 8622 10^100000+41853379 100001 Robert Price 09/2023 8623 10^100000+41983459 100001 Robert Price 09/2023 8624 10^100000+42043387 100001 Robert Price 09/2023 8625 10^100000+42048453 100001 Robert Price 09/2023 8626 10^100000+42336543 100001 Robert Price 09/2023 8627 10^100000+42394797 100001 Robert Price 09/2023 8628 10^100000+42880261 100001 Robert Price 09/2023 8629 10^100000+42906303 100001 Robert Price 09/2023 8630 10^100000+43061901 100001 Robert Price 09/2023 8631 10^100000+43089789 100001 Robert Price 09/2023 8632 10^100000+43418013 100001 Robert Price 09/2023 8633 10^100000+43813831 100001 Robert Price 09/2023 8634 10^100000+43950739 100001 Robert Price 09/2023 8635 10^100000+44108359 100001 Robert Price 09/2023 8636 10^100000+44183733 100001 Robert Price 09/2023 8637 10^100000+45126303 100001 Robert Price 09/2023 8638 10^100000+45218437 100001 Robert Price 09/2023 8639 10^100000+45241837 100001 Robert Price 09/2023 8640 10^100000+45665701 100001 Robert Price 09/2023 8710 10^99999+309403 100000 Daniel Heuer 01/2004 8711 10^100000-260199 100000 Patrick De Geest 01/2010 8712 2^332192+10192681 100000 Sujan Das 06/2022 8713 1610172603059^8192+1610172602878^8192 100000 Youcef Lemsafer 01/2023 8715 10^99999-59511 99999 Patrick De Geest 07/2009 8714 10^99998+235437 99999 Patrick De Geest 02/2020 8716 10^99998-286587 99998 Patrick De Geest 02/2020 8717 10^99997+72297 99998 Patrick De Geest 02/2020 8718 10^99997-402627 99997 Patrick De Geest 02/2020 8719 10^99996+279853 99997 Patrick De Geest 02/2020 8720 10^99997-500000001 99997 Robert Price 12/2020 8721 10^99996-94961 99996 Patrick De Geest 02/2020 8722 10^99995+54633 99996 Patrick De Geest 02/2020 8723 10^99995-101429 99995 Patrick De Geest 02/2020 8724 10^99994+117271 99995 Patrick De Geest 02/2020 8725 10^99994-452289 99994 Patrick De Geest 02/2020 8726 10^99993+371311 99994 Patrick De Geest 02/2020 8727 10^99993-186491 99993 Patrick De Geest 02/2020 8728 10^99992+17431 99993 Patrick De Geest 02/2020 8729 10^99992-28607 99992 Patrick De Geest 02/2020 8730 10^99991+125391 99992 Patrick De Geest 02/2020 8731 10^99991-204573 99991 Patrick De Geest 02/2020 8732 10^99990+13899 99991 Patrick De Geest 02/2020 8733 10^99990-8111 99990 Patrick De Geest 02/2020 8734 2^332141-113073 99985 Enzo Doria 07/2014 8735 (1610172603037^8192+1610172602919^8192)/17110948127473666 99983 Youcef Lemsafer 01/2023 8736 6*10^99979-79 99980 Robert Price 03/2022 8738 (3^209561+2)/728101255 99978 Lelio R Paula 09/2013 8737 23827^15702+15702^23827 99978 Hans Havermann 04/2018 8739 2^332085+1865897 99968 Enzo Doria 03/2016 8740 (9787*2^332070-1)/936402369 99959 Lelio R Paula 05/2015 8741 2^332023+191 99949 Lelio R Paula 02/2011 8742 (6271^26321-1)/6270 99946 Serge Batalov 06/2022 8743 7*10^99944+27 99945 Robert Price 11/2020 8744 3188^28523-28523^3188 99931 Norbert Schneider 06/2023 8745 2^331938+71149 99924 Enzo Doria 04/2016 8746 2^331932-78795 99922 Lelio R Paula 09/2016 8747 2^331921+771 99919 Lelio R Paula 01/2013 8748 7947^25618-25618^7947 99916 Norbert Schneider 08/2023 8749 (3^209419-2)/5132755 99912 Lelio R Paula 09/2013 8750 2^331860-114989 99900 Enzo Doria 05/2015

Find by discoverer :

Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: September, 29 2023 15:19 (Time in France)

Go back