PRP Records

Probable Primes Top 10000

(295461 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 ? 8751 2^338101+68505 101779 Stefano Morozzi 09/2022 8752 2^338100-42867 101779 Stefano Morozzi 02/2023 8753 2^338097+100229 101778 Stefano Morozzi 11/2021 8754 2^338097-25695 101778 Stefano Morozzi 12/2021 8755 2^338098-110043 101778 Stefano Morozzi 06/2022 8756 2^338099-191389 101778 Stefano Morozzi 01/2023 8757 2^338093-128403 101777 Stefano Morozzi 01/2022 8758 2^338093+33051 101777 Stefano Morozzi 02/2022 8759 2^338094+135555 101777 Stefano Morozzi 03/2022 8760 2^338095-32395 101777 Stefano Morozzi 03/2022 8761 2^338090-175353 101776 Stefano Morozzi 12/2021 8762 2^338090+33277 101776 Stefano Morozzi 02/2022 8763 2^338091-105601 101776 Stefano Morozzi 02/2022 8764 2^338091-32127 101776 Stefano Morozzi 03/2022 8765 2^338092+12873 101776 Stefano Morozzi 04/2022 8766 2^338091-58485 101776 Stefano Morozzi 04/2022 8767 2^338086+177643 101775 Stefano Morozzi 12/2021 8768 2^338089+82905 101775 Stefano Morozzi 02/2022 8769 2^338088+87565 101775 Stefano Morozzi 04/2022 8770 2^338088-166205 101775 Stefano Morozzi 01/2023 8771 2^338089-140053 101775 Stefano Morozzi 01/2023 8772 2^338087+124935 101775 Stefano Morozzi 02/2023 8773 2^338085-3301 101774 Stefano Morozzi 01/2022 8774 2^338084+108691 101774 Stefano Morozzi 03/2022 8775 2^338083+164369 101774 Stefano Morozzi 05/2022 8776 2^338080+107521 101773 Stefano Morozzi 02/2022 8777 2^338080-156917 101773 Stefano Morozzi 03/2022 8778 2^338081+199775 101773 Stefano Morozzi 02/2023 8779 2^338076+62311 101772 Stefano Morozzi 04/2022 8780 2^338079+161745 101772 Stefano Morozzi 04/2022 8781 2^338078-60075 101772 Stefano Morozzi 06/2022 8782 2^338079+167079 101772 Stefano Morozzi 09/2022 8783 2^338076+122535 101772 Stefano Morozzi 11/2022 8784 2^338077+95619 101772 Stefano Morozzi 11/2022 8785 2^338078+20539 101772 Stefano Morozzi 11/2022 8786 2^338076-36813 101772 Stefano Morozzi 12/2022 8787 2^338078-64911 101772 Stefano Morozzi 01/2023 8788 2^338073-77971 101771 Stefano Morozzi 01/2022 8789 2^338074+55579 101771 Stefano Morozzi 01/2022 8790 2^338073-81813 101771 Stefano Morozzi 03/2022 8791 2^338073+138645 101771 Stefano Morozzi 05/2022 8792 2^338075+148043 101771 Stefano Morozzi 11/2022 8793 2^338070-152607 101770 Stefano Morozzi 01/2022 8794 2^338070+138787 101770 Stefano Morozzi 05/2022 8795 2^338071+165249 101770 Stefano Morozzi 06/2022 8796 2^338070+70359 101770 Stefano Morozzi 11/2022 8797 2^338071+98573 101770 Stefano Morozzi 11/2022 8798 2^338069+79365 101769 Stefano Morozzi 01/2022 8799 2^338069+107571 101769 Stefano Morozzi 02/2022 8800 2^338068+73035 101769 Stefano Morozzi 11/2022 8801 2^338064+100087 101768 Stefano Morozzi 11/2021 8802 2^338064-83793 101768 Stefano Morozzi 04/2022 8803 2^338064+193701 101768 Stefano Morozzi 09/2022 8804 2^338065+199947 101768 Stefano Morozzi 02/2023 8805 2^338060-151047 101767 Stefano Morozzi 12/2021 8806 2^338060-130805 101767 Stefano Morozzi 02/2022 8807 2^338060-136593 101767 Stefano Morozzi 12/2022 8808 2^338062-15725 101767 Stefano Morozzi 01/2023 8809 2^338058-76415 101766 Stefano Morozzi 12/2021 8810 2^338057+83865 101766 Stefano Morozzi 03/2022 8811 2^338057+86997 101766 Stefano Morozzi 04/2022 8812 2^338058+188589 101766 Stefano Morozzi 05/2022 8813 2^338058+68089 101766 Stefano Morozzi 09/2022 8814 2^338059+121803 101766 Stefano Morozzi 11/2022 8815 2^338057-39021 101766 Stefano Morozzi 01/2023 8816 2^338056+50605 101765 Stefano Morozzi 11/2021 8817 2^338053+53231 101765 Stefano Morozzi 01/2022 8818 2^338054-180497 101765 Stefano Morozzi 02/2022 8819 2^338053+59891 101765 Stefano Morozzi 03/2022 8820 2^338056+33987 101765 Stefano Morozzi 03/2022 8821 2^338055-157779 101765 Stefano Morozzi 03/2022 8822 2^338056+90307 101765 Stefano Morozzi 06/2022 8823 2^338055+124443 101765 Stefano Morozzi 02/2023 8824 2^338052-55373 101764 Stefano Morozzi 02/2022 8825 2^338050-138281 101764 Stefano Morozzi 12/2022 8826 2^338050+148959 101764 Stefano Morozzi 02/2023 8827 2^338051-118159 101764 Stefano Morozzi 02/2023 8828 2^338048+31185 101763 Stefano Morozzi 01/2022 8829 2^338047+31935 101763 Stefano Morozzi 02/2022 8830 2^338047+108011 101763 Stefano Morozzi 02/2022 8831 2^338049+56777 101763 Stefano Morozzi 02/2022 8832 2^338049-7531 101763 Stefano Morozzi 03/2022 8833 2^338048-304019 101763 Harrison Mesh 06/2022 8834 2^338049+191291 101763 Stefano Morozzi 06/2022 8835 2^338047-187699 101763 Stefano Morozzi 12/2022 8836 2^338047-66405 101763 Stefano Morozzi 01/2023 8837 2^338049-192633 101763 Stefano Morozzi 02/2023 8838 2^338046-25841 101762 Stefano Morozzi 12/2021 8839 2^338046-2285 101762 Stefano Morozzi 12/2021 8840 2^338046-177851 101762 Stefano Morozzi 01/2022 8841 2^338043+84045 101762 Stefano Morozzi 03/2022 8842 2^338046-57573 101762 Stefano Morozzi 03/2022 8843 2^338044-8177 101762 Stefano Morozzi 04/2022 8844 2^338045-58443 101762 Stefano Morozzi 04/2022 8845 2^338044+193497 101762 Stefano Morozzi 09/2022 8846 2^338043+45701 101762 Stefano Morozzi 11/2022 8847 2^338044-114197 101762 Stefano Morozzi 01/2023 8848 2^338042+194973 101761 Stefano Morozzi 11/2022 8849 2^338040-164483 101761 Stefano Morozzi 01/2023 8850 2^338038-57887 101760 Stefano Morozzi 04/2022 8851 2^338037+139169 101760 Stefano Morozzi 05/2022 8852 2^338037+188595 101760 Stefano Morozzi 05/2022 8853 2^338038-187241 101760 Stefano Morozzi 12/2022 8854 2^338039+124035 101760 Stefano Morozzi 02/2023 8855 2^338037-42523 101760 Stefano Morozzi 02/2023 8856 2^338034+125653 101759 Stefano Morozzi 11/2021 8857 2^338034-25211 101759 Stefano Morozzi 12/2021 8858 2^338033-154099 101759 Stefano Morozzi 02/2022 8859 2^338034-31803 101759 Stefano Morozzi 03/2022 8860 2^338033+162311 101759 Stefano Morozzi 04/2022 8861 2^338033-83071 101759 Stefano Morozzi 04/2022 8862 2^338035-158095 101759 Stefano Morozzi 04/2022 8863 2^338036-34193 101759 Stefano Morozzi 04/2022 8864 2^338036+42873 101759 Stefano Morozzi 09/2022 8865 2^338036+93373 101759 Stefano Morozzi 09/2022 8866 2^338035+146129 101759 Stefano Morozzi 11/2022 8867 2^338036+23983 101759 Stefano Morozzi 11/2022 8868 2^338036+170433 101759 Stefano Morozzi 11/2022 8869 2^338031+79989 101758 Stefano Morozzi 01/2022 8870 2^338032+158073 101758 Stefano Morozzi 02/2022 8871 2^338030-54371 101758 Stefano Morozzi 02/2022 8872 2^338032-180747 101758 Stefano Morozzi 02/2022 8873 2^338029-27909 101757 Stefano Morozzi 01/2022 8874 2^338027+70475 101757 Stefano Morozzi 11/2022 8875 2^338028-38705 101757 Stefano Morozzi 12/2022 8876 2^338028-140459 101757 Stefano Morozzi 01/2023 8877 2^338024-128495 101756 Stefano Morozzi 01/2022 8878 2^338025+34785 101756 Stefano Morozzi 03/2022 8879 2^338025-181765 101756 Stefano Morozzi 03/2022 8880 2^338024+63765 101756 Stefano Morozzi 05/2022 8881 2^338023-160621 101756 Stefano Morozzi 06/2022 8882 2^338026+117553 101756 Stefano Morozzi 09/2022 8883 2^338020-52437 101755 Stefano Morozzi 12/2021 8884 2^338021+160241 101755 Stefano Morozzi 03/2022 8885 2^338022+185845 101755 Stefano Morozzi 03/2022 8886 2^338021+189587 101755 Stefano Morozzi 05/2022 8887 2^338021-85891 101755 Stefano Morozzi 06/2022 8888 2^338020-87797 101755 Stefano Morozzi 12/2022 8889 2^338018-102741 101754 Stefano Morozzi 01/2022 8890 2^338018+29937 101754 Stefano Morozzi 01/2022 8891 2^338017-29505 101754 Stefano Morozzi 02/2022 8892 2^338018-30873 101754 Stefano Morozzi 02/2022 8893 2^338018-157013 101754 Stefano Morozzi 03/2022 8894 2^338019+168929 101754 Stefano Morozzi 09/2022 8895 2^338017+172721 101754 Stefano Morozzi 11/2022 8896 2^338018-136131 101754 Stefano Morozzi 12/2022 8897 2^338016+50797 101753 Stefano Morozzi 11/2021 8898 2^338016+26707 101753 Stefano Morozzi 12/2021 8899 2^338014+104677 101753 Stefano Morozzi 01/2022 8900 2^338013+145091 101753 Stefano Morozzi 11/2022 8901 2^338016-16335 101753 Stefano Morozzi 01/2023 8904 2^338010-19833 101752 Enzo Doria 06/2013 8902 2^338011+28665 101752 Stefano Morozzi 01/2022 8903 2^338010+89505 101752 Stefano Morozzi 05/2022 8905 2^338007+58985 101751 Stefano Morozzi 03/2022 8906 2^338008+109741 101751 Stefano Morozzi 03/2022 8907 2^338009+9527 101751 Stefano Morozzi 03/2022 8908 2^338007+14511 101751 Stefano Morozzi 05/2022 8909 2^338008+67957 101751 Stefano Morozzi 09/2022 8910 2^338009-11935 101751 Stefano Morozzi 12/2022 8911 2^338007-14199 101751 Stefano Morozzi 01/2023 8912 2^338005-75829 101750 Stefano Morozzi 12/2021 8913 2^338006-125055 101750 Stefano Morozzi 12/2021 8914 2^338006+5013 101750 Stefano Morozzi 01/2022 8915 2^338003+40269 101750 Stefano Morozzi 06/2022 8916 2^338006+166495 101750 Stefano Morozzi 06/2022 8917 2^338003-188551 101750 Stefano Morozzi 12/2022 8918 2^338006-118041 101750 Stefano Morozzi 02/2023 8919 2^338000+25113 101749 Stefano Morozzi 12/2021 8921 3^213215-76 101730 Lelio R Paula 09/2016 8920 23907^17998+17998^23907 101730 Hans Havermann 01/2019 8922 10^101728+154953 101729 Patrick De Geest 02/2020 8925 2^337930+63 101728 Lelio R Paula 07/2011 8923 10^101728-987654321 101728 Robert Price 12/2019 8924 10^101728-60741 101728 Patrick De Geest 02/2020 8926 2^337920+1869661 101725 Enzo Doria 05/2016 8927 2^337922+100280245065 101725 Paul Bourdelais 10/2021 8928 24116^16509+16509^24116 101715 Hans Havermann 01/2019 8929 (2^337875+3174)/2 101711 Stefano Morozzi 09/2020 8930 2^337859-19645 101706 Enzo Doria 05/2013 8931 2^337754+1869169 101675 Enzo Doria 05/2016 8932 (7*10^(2*50830+1)-9*10^50830-7)/9 101661 Robert Price 10/2023 8933 3*10^101657-37 101658 Robert Price 07/2018 8934 (31*2^337677-1)/593 101650 Lelio R Paula 03/2014 8935 11^97605-24 101646 Lelio R Paula 10/2016 8936 (83*10^101636+133)/9 101637 Robert Price 08/2021 8937 (2^337624+3606)/2 101635 Stefano Morozzi 09/2020 8938 8^112539-112539 101633 Robert Price 01/2014 8939 (2^337575+1818)/2 101620 Stefano Morozzi 02/2021 8940 (11*10^101613+61)/9 101614 Tyler Busby 01/2023 8941 25694^9003+9003^25694 101605 Hans Havermann 12/2018 8942 2^337515-19869 101603 Enzo Doria 06/2013 8943 2^337473+719 101590 Lelio R Paula 08/2011 8944 (2^337485-509203)/656647157 101585 Lelio R Paula 12/2013 8945 2^337452-108815 101584 Enzo Doria 03/2014 8946 2^337453+1185 101584 Lelio R Paula 09/2016 8947 (41*10^101583+319)/9 101584 Robert Price 06/2021 8948 2^337410-113561 101571 Enzo Doria 08/2014 8949 2^337387+855 101564 Lelio R Paula 09/2016 8950 2^337367-17295 101558 Lelio R Paula 09/2016 8951 2^337342-109035 101551 Enzo Doria 04/2014 8952 23703^19238+19238^23703 101548 Hans Havermann 12/2018 8953 (26*10^101537-167)/3 101538 Robert Price 10/2019 8954 2^337267-19 101528 Lelio R Paula 07/2011 8955 (2^337259+1766)/2 101525 Stefano Morozzi 09/2020 8956 (2^337257+2306)/2 101525 Stefano Morozzi 02/2021 8957 2^337222-340871 101514 Harrison Mesh 06/2022 8958 (2^337195+2646)/2 101506 Stefano Morozzi 09/2020 8959 2^337183-19989 101503 Enzo Doria 06/2013 8960 2^337149+72425 101492 Enzo Doria 04/2016 8961 24041^16642+16642^24041 101483 Hans Havermann 12/2018 8962 33982^969+969^33982 101482 Hans Havermann 12/2018 8963 2^337101-20241 101478 Enzo Doria 06/2013 8964 2^337035-20001 101458 Enzo Doria 06/2013 8965 (7*10^101456+89)/3 101457 Robert Price 08/2020 8966 2^337017-16995 101453 Lelio R Paula 09/2016 8967 (347^40448+1)/(347^512+1) 101451 Martin Hopf 12/2023 8968 (8677^25759-1)/8676 101445 Serge Batalov 06/2022 8969 2^336979-115315 101441 Enzo Doria 06/2015 8970 2^336970-20885 101439 Enzo Doria 06/2013 8971 2^336958+79 101435 Lelio R Paula 10/2009 8972 (1589^31687-1)/1588 101431 Serge Batalov 06/2022 8973 2^336942+169 101430 Lelio R Paula 10/2009 8974 (193929^19321-1)/(193929^139-1) 101428 Ryan Propper 11/2023 8975 (15185*2^336894-1)/7939 101416 Lelio R Paula 05/2015 8976 4*10^101415-89 101416 Robert Price 11/2018 8977 (14*10^101410-89)/3 101411 Robert Price 05/2020 8978 2^336871+257463 101409 Tony Prest / Never Odd Or Even 04/2016 8979 2^336871+318105 101409 Tony Prest / Never Odd Or Even 04/2016 8980 2^336871+1010813 101409 Tony Prest / Never Odd Or Even 04/2016 8981 2^336871+2302245 101409 Tony Prest / Never Odd Or Even 04/2016 8982 2^336871+389273 101409 Tony Prest / Never Odd Or Even 04/2016 8983 2^336871+1685475 101409 Tony Prest / Never Odd Or Even 04/2016 8984 2^336871+1068119 101409 Tony Prest / Never Odd Or Even 04/2016 8985 2^336871+586905 101409 Tony Prest / Never Odd Or Even 04/2016 8986 2^336871+674571 101409 Tony Prest / Never Odd Or Even 04/2016 8987 2^336871+707009 101409 Tony Prest / Never Odd Or Even 04/2016 8988 2^336871+1210299 101409 Tony Prest / Never Odd Or Even 04/2016 8989 2^336871+1921185 101409 Tony Prest / Never Odd Or Even 04/2016 8990 2^336871+2003973 101409 Tony Prest / Never Odd Or Even 04/2016 8991 2^336871+2656475 101409 Tony Prest / Never Odd Or Even 04/2016 8992 2^336871+2703023 101409 Tony Prest / Never Odd Or Even 04/2016 8993 2^336871+2704545 101409 Tony Prest / Never Odd Or Even 04/2016 8994 2^336871+2766801 101409 Tony Prest / Never Odd Or Even 04/2016 8995 2^336871+2127735 101409 Tony Prest / Never Odd Or Even 04/2016 8996 (2^336871+821089)/3 101408 Tony Prest / Never Odd Or Even 05/2016 8997 (2^336871+119567)/5 101408 Tony Prest / Never Odd Or Even 05/2016 8998 (2^336871+398161)/3 101408 Tony Prest / Never Odd Or Even 05/2016 8999 (2^336871+625889)/7 101408 Tony Prest / Never Odd Or Even 05/2016 9000 24097^16150+16150^24097 101405 Hans Havermann 12/2018

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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: July, 19 2024 15:29 (Time in France)

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