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
Rank |
Probable prime |
Digits (> 50000) |
Who ? |
When ? |
7755 | (2^338242+2782)/2 | 101821 | Stefano Morozzi | 02/2021 |
7751 | 2^338240+81745 | 101821 | Stefano Morozzi | 02/2022 |
7752 | 2^338241-155551 | 101821 | Stefano Morozzi | 02/2022 |
7753 | 2^338242-108237 | 101821 | Stefano Morozzi | 04/2022 |
7754 | 2^338242+43045 | 101821 | Stefano Morozzi | 09/2022 |
7756 | 2^338238-126735 | 101820 | Stefano Morozzi | 12/2021 |
7757 | 2^338238+183855 | 101820 | Stefano Morozzi | 03/2022 |
7758 | 2^338238+141013 | 101820 | Stefano Morozzi | 06/2022 |
7759 | 2^338237+97227 | 101820 | Stefano Morozzi | 11/2022 |
7760 | 2^338238+48429 | 101820 | Stefano Morozzi | 11/2022 |
7761 | 2^338234-80925 | 101819 | Stefano Morozzi | 02/2022 |
7762 | 2^338234-154593 | 101819 | Stefano Morozzi | 02/2022 |
7763 | 2^338235-131787 | 101819 | Stefano Morozzi | 03/2022 |
7764 | 2^338233+89781 | 101819 | Stefano Morozzi | 05/2022 |
7765 | 2^338235+169971 | 101819 | Stefano Morozzi | 11/2022 |
7766 | 2^338233-113875 | 101819 | Stefano Morozzi | 12/2022 |
7773 | (3*2^338236-1)/347 | 101818 | Lelio R Paula | 03/2014 |
7767 | 2^338232-175539 | 101818 | Stefano Morozzi | 12/2021 |
7768 | 2^338231+57345 | 101818 | Stefano Morozzi | 02/2022 |
7769 | 2^338232+36097 | 101818 | Stefano Morozzi | 03/2022 |
7770 | 2^338230+137403 | 101818 | Stefano Morozzi | 04/2022 |
7771 | 2^338231-59569 | 101818 | Stefano Morozzi | 04/2022 |
7772 | 2^338230-86633 | 101818 | Stefano Morozzi | 12/2022 |
7774 | 2^338228+159247 | 101817 | Stefano Morozzi | 03/2022 |
7775 | 2^338227-12631 | 101817 | Stefano Morozzi | 12/2022 |
7776 | (34*10^101815+191)/9 | 101816 | Robert Price | 08/2021 |
7777 | 2^338224+185461 | 101816 | Stefano Morozzi | 03/2022 |
7778 | 2^338224+62295 | 101816 | Stefano Morozzi | 04/2022 |
7779 | 2^338225+162645 | 101816 | Stefano Morozzi | 04/2022 |
7780 | 2^338223+144209 | 101816 | Stefano Morozzi | 09/2022 |
7787 | 6^130841+103 | 101815 | Lelio R Paula | 10/2016 |
7781 | 2^338220+150405 | 101815 | Stefano Morozzi | 11/2021 |
7782 | 2^338219-4147 | 101815 | Stefano Morozzi | 01/2022 |
7783 | 2^338221+83391 | 101815 | Stefano Morozzi | 02/2022 |
7784 | 2^338221+62937 | 101815 | Stefano Morozzi | 04/2022 |
7785 | 2^338220-65697 | 101815 | Stefano Morozzi | 01/2023 |
7786 | 2^338220-139505 | 101815 | Stefano Morozzi | 01/2023 |
7788 | 2^338216+77473 | 101814 | Stefano Morozzi | 12/2021 |
7789 | 2^338218+155299 | 101814 | Stefano Morozzi | 01/2022 |
7790 | 2^338217-134745 | 101814 | Stefano Morozzi | 04/2022 |
7791 | 2^338218+73507 | 101814 | Stefano Morozzi | 11/2022 |
7792 | 2^338213-125631 | 101813 | Stefano Morozzi | 12/2021 |
7793 | 2^338215+25845 | 101813 | Stefano Morozzi | 12/2021 |
7794 | 2^338210-153537 | 101812 | Stefano Morozzi | 01/2022 |
7795 | 2^338209+60915 | 101812 | Stefano Morozzi | 03/2022 |
7796 | 2^338211-57297 | 101812 | Stefano Morozzi | 03/2022 |
7797 | 2^338211-110257 | 101812 | Stefano Morozzi | 06/2022 |
7798 | 2^338211+71549 | 101812 | Stefano Morozzi | 11/2022 |
7799 | 2^338208-178787 | 101811 | Stefano Morozzi | 01/2022 |
7800 | 2^338208+106153 | 101811 | Stefano Morozzi | 01/2022 |
7801 | 2^338207+16499 | 101811 | Stefano Morozzi | 06/2022 |
7802 | 2^338205+102471 | 101810 | Stefano Morozzi | 12/2021 |
7803 | 2^338199-176377 | 101809 | Stefano Morozzi | 12/2021 |
7804 | 2^338201-151233 | 101809 | Stefano Morozzi | 12/2021 |
7805 | 2^338202-152061 | 101809 | Stefano Morozzi | 12/2021 |
7806 | 2^338202+133785 | 101809 | Stefano Morozzi | 03/2022 |
7807 | 2^338200+135643 | 101809 | Stefano Morozzi | 03/2022 |
7808 | 2^338202+14169 | 101809 | Stefano Morozzi | 05/2022 |
7809 | 2^338202-85211 | 101809 | Stefano Morozzi | 06/2022 |
7810 | 2^338200+74265 | 101809 | Stefano Morozzi | 02/2023 |
7811 | 2^338196+121147 | 101808 | Stefano Morozzi | 11/2022 |
7812 | 2^338196+73551 | 101808 | Stefano Morozzi | 11/2022 |
7813 | 2^338194-175845 | 101807 | Stefano Morozzi | 12/2021 |
7814 | 2^338195+56771 | 101807 | Stefano Morozzi | 02/2022 |
7815 | 2^338195+162365 | 101807 | Stefano Morozzi | 04/2022 |
7816 | 2^338194+67497 | 101807 | Stefano Morozzi | 09/2022 |
7817 | 2^338193-116335 | 101807 | Stefano Morozzi | 01/2023 |
7818 | 2^338194-15585 | 101807 | Stefano Morozzi | 01/2023 |
7819 | 2^338192+130387 | 101806 | Stefano Morozzi | 01/2022 |
7820 | 2^338190+89359 | 101806 | Stefano Morozzi | 05/2022 |
7821 | 2^338189+144605 | 101806 | Stefano Morozzi | 09/2022 |
7822 | 2^338190-113537 | 101806 | Stefano Morozzi | 12/2022 |
7823 | 2^338186+127245 | 101805 | Stefano Morozzi | 12/2021 |
7824 | 2^338186-130013 | 101805 | Stefano Morozzi | 02/2022 |
7825 | 2^338186+39235 | 101805 | Stefano Morozzi | 05/2022 |
7826 | 2^338185+77315 | 101804 | Stefano Morozzi | 12/2021 |
7827 | 2^338185+102519 | 101804 | Stefano Morozzi | 12/2021 |
7828 | 2^338183-76539 | 101804 | Stefano Morozzi | 12/2021 |
7829 | 2^338185+104489 | 101804 | Stefano Morozzi | 01/2022 |
7830 | 2^338179+35361 | 101803 | Stefano Morozzi | 03/2022 |
7831 | 2^338181+64235 | 101803 | Stefano Morozzi | 05/2022 |
7832 | 2^338181+94047 | 101803 | Stefano Morozzi | 09/2022 |
7833 | 2^338180+146131 | 101803 | Stefano Morozzi | 11/2022 |
7834 | 2^338179+123399 | 101803 | Stefano Morozzi | 11/2022 |
7835 | 2^338182-42425 | 101803 | Stefano Morozzi | 02/2023 |
7836 | 2^338177+51807 | 101802 | Stefano Morozzi | 12/2021 |
7837 | 2^338177+107385 | 101802 | Stefano Morozzi | 02/2022 |
7838 | 2^338178+34287 | 101802 | Stefano Morozzi | 03/2022 |
7839 | 2^338178+184207 | 101802 | Stefano Morozzi | 03/2022 |
7840 | 2^338177-108901 | 101802 | Stefano Morozzi | 04/2022 |
7841 | 2^338177+141569 | 101802 | Stefano Morozzi | 06/2022 |
7842 | 2^338176+46221 | 101802 | Stefano Morozzi | 11/2022 |
7843 | 2^338175+25161 | 101801 | Stefano Morozzi | 11/2021 |
7844 | 2^338173-27901 | 101801 | Stefano Morozzi | 01/2022 |
7845 | 2^338174+23217 | 101801 | Stefano Morozzi | 11/2022 |
7846 | 2^338174+23793 | 101801 | Stefano Morozzi | 11/2022 |
7847 | 2^338173-36183 | 101801 | Stefano Morozzi | 12/2022 |
7848 | 2^338173-137053 | 101801 | Stefano Morozzi | 12/2022 |
7849 | 2^338174-36797 | 101801 | Stefano Morozzi | 12/2022 |
7850 | 2^338175-166509 | 101801 | Stefano Morozzi | 01/2023 |
7851 | 2^338169-155965 | 101800 | Stefano Morozzi | 02/2022 |
7852 | 2^338172+95797 | 101800 | Stefano Morozzi | 11/2022 |
7853 | 2^338171-117987 | 101800 | Stefano Morozzi | 02/2023 |
7854 | 2^338166+183237 | 101799 | Stefano Morozzi | 02/2022 |
7855 | 2^338168-157835 | 101799 | Stefano Morozzi | 03/2022 |
7856 | 2^338166+137107 | 101799 | Stefano Morozzi | 04/2022 |
7857 | 2^338166+22897 | 101799 | Stefano Morozzi | 11/2022 |
7858 | 2^338166-161123 | 101799 | Stefano Morozzi | 12/2022 |
7859 | 2^338165-152139 | 101798 | Stefano Morozzi | 12/2021 |
7860 | 2^338163-178947 | 101798 | Stefano Morozzi | 02/2022 |
7861 | 2^338164-64329 | 101798 | Stefano Morozzi | 01/2023 |
7862 | 2^338159-127575 | 101797 | Stefano Morozzi | 12/2021 |
7863 | 2^338161+154259 | 101797 | Stefano Morozzi | 01/2022 |
7864 | 2^338160+139947 | 101797 | Stefano Morozzi | 05/2022 |
7865 | 2^338160+191815 | 101797 | Stefano Morozzi | 09/2022 |
7866 | 2^338160+22207 | 101797 | Stefano Morozzi | 11/2022 |
7867 | 2^338161+196157 | 101797 | Stefano Morozzi | 11/2022 |
7868 | 2^338162-138635 | 101797 | Stefano Morozzi | 12/2022 |
7869 | 2^338156-75269 | 101796 | Stefano Morozzi | 12/2021 |
7870 | 2^338156-151247 | 101796 | Stefano Morozzi | 12/2021 |
7871 | 2^338156+103273 | 101796 | Stefano Morozzi | 01/2022 |
7872 | 2^338156+167053 | 101796 | Stefano Morozzi | 09/2022 |
7873 | 2^338158+69303 | 101796 | Stefano Morozzi | 09/2022 |
7874 | 2^338158+171189 | 101796 | Stefano Morozzi | 11/2022 |
7875 | 2^338157-188989 | 101796 | Stefano Morozzi | 12/2022 |
7876 | 2^338158-188711 | 101796 | Stefano Morozzi | 12/2022 |
7877 | 2^338155+132621 | 101795 | Stefano Morozzi | 02/2022 |
7878 | 2^338155-82605 | 101795 | Stefano Morozzi | 03/2022 |
7879 | 2^338155-182631 | 101795 | Stefano Morozzi | 03/2022 |
7880 | 2^338155+187755 | 101795 | Stefano Morozzi | 04/2022 |
7881 | 2^338154-83975 | 101795 | Stefano Morozzi | 04/2022 |
7882 | 2^338154+163759 | 101795 | Stefano Morozzi | 05/2022 |
7883 | 2^338152-25767 | 101794 | Stefano Morozzi | 12/2021 |
7884 | 2^338152+181927 | 101794 | Stefano Morozzi | 02/2022 |
7885 | 2^338151+60779 | 101794 | Stefano Morozzi | 03/2022 |
7886 | 2^338151+189149 | 101794 | Stefano Morozzi | 05/2022 |
7887 | 2^338152+45567 | 101794 | Stefano Morozzi | 11/2022 |
7888 | 2^338147+29343 | 101793 | Stefano Morozzi | 01/2022 |
7889 | 2^338148+130803 | 101793 | Stefano Morozzi | 01/2022 |
7890 | 2^338146+166167 | 101793 | Stefano Morozzi | 06/2022 |
7891 | 2^338149-185073 | 101793 | Stefano Morozzi | 06/2022 |
7892 | 2^338149+41757 | 101793 | Stefano Morozzi | 09/2022 |
7893 | 2^338149+125015 | 101793 | Stefano Morozzi | 02/2023 |
7894 | 2^338144+180697 | 101792 | Stefano Morozzi | 01/2022 |
7895 | 2^338143+8589 | 101792 | Stefano Morozzi | 02/2022 |
7896 | 2^338143-55611 | 101792 | Stefano Morozzi | 02/2022 |
7897 | 2^338143+60623 | 101792 | Stefano Morozzi | 03/2022 |
7898 | 2^338145-63609 | 101792 | Stefano Morozzi | 12/2022 |
7899 | 2^338141-77301 | 101791 | Stefano Morozzi | 12/2021 |
7900 | 2^338141+157145 | 101791 | Stefano Morozzi | 02/2022 |
7901 | 2^338140+84745 | 101791 | Stefano Morozzi | 03/2022 |
7902 | 2^338140+90073 | 101791 | Stefano Morozzi | 05/2022 |
7903 | 2^338142+96583 | 101791 | Stefano Morozzi | 11/2022 |
7904 | 2^338139-134719 | 101790 | Stefano Morozzi | 04/2022 |
7905 | 2^338138+95443 | 101790 | Stefano Morozzi | 11/2022 |
7906 | 2^338133+1445 | 101789 | Stefano Morozzi | 12/2021 |
7907 | 2^338133+172469 | 101789 | Stefano Morozzi | 11/2022 |
7908 | 2^338134+23235 | 101789 | Stefano Morozzi | 11/2022 |
7909 | 2^338132+105643 | 101788 | Stefano Morozzi | 01/2022 |
7910 | 2^338131+181871 | 101788 | Stefano Morozzi | 02/2022 |
7911 | 2^338132-184539 | 101788 | Stefano Morozzi | 04/2022 |
7912 | 2^338130+22383 | 101788 | Stefano Morozzi | 11/2022 |
7913 | 2^338132+170143 | 101788 | Stefano Morozzi | 11/2022 |
7914 | 2^338131-62599 | 101788 | Stefano Morozzi | 12/2022 |
7915 | 2^338128+128953 | 101787 | Stefano Morozzi | 01/2022 |
7916 | 2^338127+11021 | 101787 | Stefano Morozzi | 03/2022 |
7917 | 2^338127+192935 | 101787 | Stefano Morozzi | 09/2022 |
7918 | 2^338127+98621 | 101787 | Stefano Morozzi | 11/2022 |
7919 | 2^338128+98853 | 101787 | Stefano Morozzi | 02/2023 |
7920 | 2^338123-25959 | 101786 | Stefano Morozzi | 12/2021 |
7921 | 2^338124-180765 | 101786 | Stefano Morozzi | 02/2022 |
7922 | 2^338125-7129 | 101786 | Stefano Morozzi | 03/2022 |
7923 | 2^338125-40071 | 101786 | Stefano Morozzi | 01/2023 |
7927 | 2^338122-20117 | 101785 | Enzo Doria | 06/2013 |
7928 | (2^338139+5)/905333 | 101785 | Lelio R Paula | 12/2013 |
7924 | 2^338122+32799 | 101785 | Stefano Morozzi | 02/2022 |
7925 | 2^338120+166411 | 101785 | Stefano Morozzi | 06/2022 |
7926 | 2^338122+90705 | 101785 | Stefano Morozzi | 06/2022 |
7929 | 2^338117+103761 | 101784 | Stefano Morozzi | 01/2022 |
7930 | 2^338118+53817 | 101784 | Stefano Morozzi | 01/2022 |
7931 | 2^338116+82585 | 101784 | Stefano Morozzi | 02/2022 |
7932 | 2^338118+39483 | 101784 | Stefano Morozzi | 05/2022 |
7933 | 2^338119+96659 | 101784 | Stefano Morozzi | 11/2022 |
7934 | 2^338115+61083 | 101783 | Stefano Morozzi | 03/2022 |
7935 | 2^338114+173287 | 101783 | Stefano Morozzi | 11/2022 |
7936 | 2^338113-139681 | 101783 | Stefano Morozzi | 01/2023 |
7937 | 2^338110-175365 | 101782 | Stefano Morozzi | 12/2021 |
7938 | 2^338110-3963 | 101782 | Stefano Morozzi | 01/2022 |
7939 | 2^338112+155061 | 101782 | Stefano Morozzi | 01/2022 |
7940 | 2^338112+137335 | 101782 | Stefano Morozzi | 04/2022 |
7941 | 2^338111-85627 | 101782 | Stefano Morozzi | 06/2022 |
7942 | 2^338111-90145 | 101782 | Stefano Morozzi | 01/2023 |
7951 | 35^65917-7092 | 101781 | Enzo Doria | 03/2013 |
7943 | 2^338107-1221 | 101781 | Stefano Morozzi | 12/2021 |
7944 | 2^338109+108539 | 101781 | Stefano Morozzi | 03/2022 |
7945 | 2^338109-7261 | 101781 | Stefano Morozzi | 03/2022 |
7946 | 2^338109-131961 | 101781 | Stefano Morozzi | 03/2022 |
7947 | 2^338108+39585 | 101781 | Stefano Morozzi | 05/2022 |
7948 | 2^338109+38147 | 101781 | Stefano Morozzi | 05/2022 |
7949 | 2^338108+17301 | 101781 | Stefano Morozzi | 09/2022 |
7950 | 2^338108-65859 | 101781 | Stefano Morozzi | 01/2023 |
7952 | 2^338105+79599 | 101780 | Stefano Morozzi | 01/2022 |
7953 | 2^338103-180675 | 101780 | Stefano Morozzi | 02/2022 |
7954 | 2^338103+19499 | 101780 | Stefano Morozzi | 09/2022 |
7955 | 2^338103-165319 | 101780 | Stefano Morozzi | 01/2023 |
7956 | 2^338100-100389 | 101779 | Stefano Morozzi | 12/2021 |
7957 | 2^338100+27595 | 101779 | Stefano Morozzi | 12/2021 |
7958 | 2^338101+101139 | 101779 | Stefano Morozzi | 12/2021 |
7959 | 2^338101+134985 | 101779 | Stefano Morozzi | 03/2022 |
7960 | 2^338102+186135 | 101779 | Stefano Morozzi | 03/2022 |
7961 | 2^338100+36885 | 101779 | Stefano Morozzi | 04/2022 |
7962 | 2^338102-8151 | 101779 | Stefano Morozzi | 04/2022 |
7963 | 2^338100+90637 | 101779 | Stefano Morozzi | 06/2022 |
7964 | 2^338101+68505 | 101779 | Stefano Morozzi | 09/2022 |
7965 | 2^338100-42867 | 101779 | Stefano Morozzi | 02/2023 |
7966 | 2^338097+100229 | 101778 | Stefano Morozzi | 11/2021 |
7967 | 2^338097-25695 | 101778 | Stefano Morozzi | 12/2021 |
7968 | 2^338098-110043 | 101778 | Stefano Morozzi | 06/2022 |
7969 | 2^338099-191389 | 101778 | Stefano Morozzi | 01/2023 |
7970 | 2^338093-128403 | 101777 | Stefano Morozzi | 01/2022 |
7971 | 2^338093+33051 | 101777 | Stefano Morozzi | 02/2022 |
7972 | 2^338094+135555 | 101777 | Stefano Morozzi | 03/2022 |
7973 | 2^338095-32395 | 101777 | Stefano Morozzi | 03/2022 |
7974 | 2^338090-175353 | 101776 | Stefano Morozzi | 12/2021 |
7975 | 2^338090+33277 | 101776 | Stefano Morozzi | 02/2022 |
7976 | 2^338091-105601 | 101776 | Stefano Morozzi | 02/2022 |
7977 | 2^338091-32127 | 101776 | Stefano Morozzi | 03/2022 |
7978 | 2^338092+12873 | 101776 | Stefano Morozzi | 04/2022 |
7979 | 2^338091-58485 | 101776 | Stefano Morozzi | 04/2022 |
7980 | 2^338086+177643 | 101775 | Stefano Morozzi | 12/2021 |
7981 | 2^338089+82905 | 101775 | Stefano Morozzi | 02/2022 |
7982 | 2^338088+87565 | 101775 | Stefano Morozzi | 04/2022 |
7983 | 2^338088-166205 | 101775 | Stefano Morozzi | 01/2023 |
7984 | 2^338089-140053 | 101775 | Stefano Morozzi | 01/2023 |
7985 | 2^338087+124935 | 101775 | Stefano Morozzi | 02/2023 |
7986 | 2^338085-3301 | 101774 | Stefano Morozzi | 01/2022 |
7987 | 2^338084+108691 | 101774 | Stefano Morozzi | 03/2022 |
7988 | 2^338083+164369 | 101774 | Stefano Morozzi | 05/2022 |
7989 | 2^338080+107521 | 101773 | Stefano Morozzi | 02/2022 |
7990 | 2^338080-156917 | 101773 | Stefano Morozzi | 03/2022 |
7991 | 2^338081+199775 | 101773 | Stefano Morozzi | 02/2023 |
7992 | 2^338076+62311 | 101772 | Stefano Morozzi | 04/2022 |
7993 | 2^338079+161745 | 101772 | Stefano Morozzi | 04/2022 |
7994 | 2^338078-60075 | 101772 | Stefano Morozzi | 06/2022 |
7995 | 2^338079+167079 | 101772 | Stefano Morozzi | 09/2022 |
7996 | 2^338076+122535 | 101772 | Stefano Morozzi | 11/2022 |
7997 | 2^338077+95619 | 101772 | Stefano Morozzi | 11/2022 |
7998 | 2^338078+20539 | 101772 | Stefano Morozzi | 11/2022 |
7999 | 2^338076-36813 | 101772 | Stefano Morozzi | 12/2022 |
8000 | 2^338078-64911 | 101772 | Stefano Morozzi | 01/2023 |