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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Rank |
Probable prime |
Digits (> 50000) |
Who ? |
When ? |
7251 | 2^338267+110481 | 101829 | Stefano Morozzi | 03/2022 |
7252 | 2^338267-166035 | 101829 | Stefano Morozzi | 01/2023 |
7253 | 2^338265-154893 | 101828 | Stefano Morozzi | 02/2022 |
7254 | 2^338264+163611 | 101828 | Stefano Morozzi | 05/2022 |
7255 | 2^338263-62767 | 101828 | Stefano Morozzi | 12/2022 |
7256 | 2^338261-188119 | 101827 | Stefano Morozzi | 12/2022 |
7257 | 2^338259-40327 | 101827 | Stefano Morozzi | 01/2023 |
7258 | 2^338256+5223 | 101826 | Stefano Morozzi | 01/2022 |
7259 | 2^338257+178425 | 101826 | Stefano Morozzi | 01/2022 |
7260 | 2^338256-180569 | 101826 | Stefano Morozzi | 02/2022 |
7261 | 2^338257-5965 | 101826 | Stefano Morozzi | 02/2022 |
7262 | 2^338258-9225 | 101826 | Stefano Morozzi | 04/2022 |
7263 | 2^338255-127021 | 101825 | Stefano Morozzi | 12/2021 |
7264 | 2^338253+159005 | 101825 | Stefano Morozzi | 03/2022 |
7265 | 2^338253+64817 | 101825 | Stefano Morozzi | 05/2022 |
7266 | 2^338254-85403 | 101825 | Stefano Morozzi | 06/2022 |
7267 | 2^338254+142947 | 101825 | Stefano Morozzi | 09/2022 |
7268 | 2^338253+121095 | 101825 | Stefano Morozzi | 11/2022 |
7269 | 2^338254+196725 | 101825 | Stefano Morozzi | 11/2022 |
7270 | 2^338254-91007 | 101825 | Stefano Morozzi | 01/2023 |
7271 | 2^338251+78975 | 101824 | Stefano Morozzi | 01/2022 |
7272 | 2^338252-178709 | 101824 | Stefano Morozzi | 01/2022 |
7273 | 2^338252+129703 | 101824 | Stefano Morozzi | 01/2022 |
7274 | 2^338252+132285 | 101824 | Stefano Morozzi | 02/2022 |
7275 | 2^338251-33381 | 101824 | Stefano Morozzi | 04/2022 |
7276 | 2^338252-13805 | 101824 | Stefano Morozzi | 12/2022 |
7277 | 2^338245-134755 | 101822 | Stefano Morozzi | 04/2022 |
7278 | 2^338244-59219 | 101822 | Stefano Morozzi | 04/2022 |
7279 | 2^338244-64703 | 101822 | Stefano Morozzi | 01/2023 |
7287 | (2^338242+2782)/2 | 101821 | Stefano Morozzi | 02/2021 |
7280 | 2^338241+1391 | 101821 | Stefano Morozzi | 12/2021 |
7281 | 2^338242+151195 | 101821 | Stefano Morozzi | 12/2021 |
7282 | 2^338240-152495 | 101821 | Stefano Morozzi | 12/2021 |
7283 | 2^338240+81745 | 101821 | Stefano Morozzi | 02/2022 |
7284 | 2^338241-155551 | 101821 | Stefano Morozzi | 02/2022 |
7285 | 2^338242-108237 | 101821 | Stefano Morozzi | 04/2022 |
7286 | 2^338242+43045 | 101821 | Stefano Morozzi | 09/2022 |
7288 | 2^338238-126735 | 101820 | Stefano Morozzi | 12/2021 |
7289 | 2^338238+183855 | 101820 | Stefano Morozzi | 03/2022 |
7290 | 2^338238+141013 | 101820 | Stefano Morozzi | 06/2022 |
7291 | 2^338237+97227 | 101820 | Stefano Morozzi | 11/2022 |
7292 | 2^338238+48429 | 101820 | Stefano Morozzi | 11/2022 |
7293 | 2^338234-80925 | 101819 | Stefano Morozzi | 02/2022 |
7294 | 2^338234-154593 | 101819 | Stefano Morozzi | 02/2022 |
7295 | 2^338235-131787 | 101819 | Stefano Morozzi | 03/2022 |
7296 | 2^338233+89781 | 101819 | Stefano Morozzi | 05/2022 |
7297 | 2^338235+169971 | 101819 | Stefano Morozzi | 11/2022 |
7298 | 2^338233-113875 | 101819 | Stefano Morozzi | 12/2022 |
7305 | (3*2^338236-1)/347 | 101818 | Lelio R Paula | 03/2014 |
7299 | 2^338232-175539 | 101818 | Stefano Morozzi | 12/2021 |
7300 | 2^338231+57345 | 101818 | Stefano Morozzi | 02/2022 |
7301 | 2^338232+36097 | 101818 | Stefano Morozzi | 03/2022 |
7302 | 2^338230+137403 | 101818 | Stefano Morozzi | 04/2022 |
7303 | 2^338231-59569 | 101818 | Stefano Morozzi | 04/2022 |
7304 | 2^338230-86633 | 101818 | Stefano Morozzi | 12/2022 |
7306 | 2^338228+159247 | 101817 | Stefano Morozzi | 03/2022 |
7307 | 2^338227-12631 | 101817 | Stefano Morozzi | 12/2022 |
7308 | (34*10^101815+191)/9 | 101816 | Robert Price | 08/2021 |
7309 | 2^338224+185461 | 101816 | Stefano Morozzi | 03/2022 |
7310 | 2^338224+62295 | 101816 | Stefano Morozzi | 04/2022 |
7311 | 2^338225+162645 | 101816 | Stefano Morozzi | 04/2022 |
7312 | 2^338223+144209 | 101816 | Stefano Morozzi | 09/2022 |
7319 | 6^130841+103 | 101815 | Lelio R Paula | 10/2016 |
7313 | 2^338220+150405 | 101815 | Stefano Morozzi | 11/2021 |
7314 | 2^338219-4147 | 101815 | Stefano Morozzi | 01/2022 |
7315 | 2^338221+83391 | 101815 | Stefano Morozzi | 02/2022 |
7316 | 2^338221+62937 | 101815 | Stefano Morozzi | 04/2022 |
7317 | 2^338220-65697 | 101815 | Stefano Morozzi | 01/2023 |
7318 | 2^338220-139505 | 101815 | Stefano Morozzi | 01/2023 |
7320 | 2^338216+77473 | 101814 | Stefano Morozzi | 12/2021 |
7321 | 2^338218+155299 | 101814 | Stefano Morozzi | 01/2022 |
7322 | 2^338217-134745 | 101814 | Stefano Morozzi | 04/2022 |
7323 | 2^338218+73507 | 101814 | Stefano Morozzi | 11/2022 |
7324 | 2^338213-125631 | 101813 | Stefano Morozzi | 12/2021 |
7325 | 2^338215+25845 | 101813 | Stefano Morozzi | 12/2021 |
7326 | 2^338210-153537 | 101812 | Stefano Morozzi | 01/2022 |
7327 | 2^338209+60915 | 101812 | Stefano Morozzi | 03/2022 |
7328 | 2^338211-57297 | 101812 | Stefano Morozzi | 03/2022 |
7329 | 2^338211-110257 | 101812 | Stefano Morozzi | 06/2022 |
7330 | 2^338211+71549 | 101812 | Stefano Morozzi | 11/2022 |
7331 | 2^338208-178787 | 101811 | Stefano Morozzi | 01/2022 |
7332 | 2^338208+106153 | 101811 | Stefano Morozzi | 01/2022 |
7333 | 2^338207+16499 | 101811 | Stefano Morozzi | 06/2022 |
7334 | 2^338205+102471 | 101810 | Stefano Morozzi | 12/2021 |
7335 | 2^338199-176377 | 101809 | Stefano Morozzi | 12/2021 |
7336 | 2^338201-151233 | 101809 | Stefano Morozzi | 12/2021 |
7337 | 2^338202-152061 | 101809 | Stefano Morozzi | 12/2021 |
7338 | 2^338202+133785 | 101809 | Stefano Morozzi | 03/2022 |
7339 | 2^338200+135643 | 101809 | Stefano Morozzi | 03/2022 |
7340 | 2^338202+14169 | 101809 | Stefano Morozzi | 05/2022 |
7341 | 2^338202-85211 | 101809 | Stefano Morozzi | 06/2022 |
7342 | 2^338196+121147 | 101808 | Stefano Morozzi | 11/2022 |
7343 | 2^338196+73551 | 101808 | Stefano Morozzi | 11/2022 |
7344 | 2^338194-175845 | 101807 | Stefano Morozzi | 12/2021 |
7345 | 2^338195+56771 | 101807 | Stefano Morozzi | 02/2022 |
7346 | 2^338195+162365 | 101807 | Stefano Morozzi | 04/2022 |
7347 | 2^338194+67497 | 101807 | Stefano Morozzi | 09/2022 |
7348 | 2^338193-116335 | 101807 | Stefano Morozzi | 01/2023 |
7349 | 2^338194-15585 | 101807 | Stefano Morozzi | 01/2023 |
7350 | 2^338192+130387 | 101806 | Stefano Morozzi | 01/2022 |
7351 | 2^338190+89359 | 101806 | Stefano Morozzi | 05/2022 |
7352 | 2^338189+144605 | 101806 | Stefano Morozzi | 09/2022 |
7353 | 2^338190-113537 | 101806 | Stefano Morozzi | 12/2022 |
7354 | 2^338186+127245 | 101805 | Stefano Morozzi | 12/2021 |
7355 | 2^338186-130013 | 101805 | Stefano Morozzi | 02/2022 |
7356 | 2^338186+39235 | 101805 | Stefano Morozzi | 05/2022 |
7357 | 2^338185+77315 | 101804 | Stefano Morozzi | 12/2021 |
7358 | 2^338185+102519 | 101804 | Stefano Morozzi | 12/2021 |
7359 | 2^338183-76539 | 101804 | Stefano Morozzi | 12/2021 |
7360 | 2^338185+104489 | 101804 | Stefano Morozzi | 01/2022 |
7361 | 2^338179+35361 | 101803 | Stefano Morozzi | 03/2022 |
7362 | 2^338181+64235 | 101803 | Stefano Morozzi | 05/2022 |
7363 | 2^338181+94047 | 101803 | Stefano Morozzi | 09/2022 |
7364 | 2^338180+146131 | 101803 | Stefano Morozzi | 11/2022 |
7365 | 2^338179+123399 | 101803 | Stefano Morozzi | 11/2022 |
7366 | 2^338177+51807 | 101802 | Stefano Morozzi | 12/2021 |
7367 | 2^338177+107385 | 101802 | Stefano Morozzi | 02/2022 |
7368 | 2^338178+34287 | 101802 | Stefano Morozzi | 03/2022 |
7369 | 2^338178+184207 | 101802 | Stefano Morozzi | 03/2022 |
7370 | 2^338177-108901 | 101802 | Stefano Morozzi | 04/2022 |
7371 | 2^338177+141569 | 101802 | Stefano Morozzi | 06/2022 |
7372 | 2^338176+46221 | 101802 | Stefano Morozzi | 11/2022 |
7373 | 2^338175+25161 | 101801 | Stefano Morozzi | 11/2021 |
7374 | 2^338173-27901 | 101801 | Stefano Morozzi | 01/2022 |
7375 | 2^338174+23217 | 101801 | Stefano Morozzi | 11/2022 |
7376 | 2^338174+23793 | 101801 | Stefano Morozzi | 11/2022 |
7377 | 2^338173-36183 | 101801 | Stefano Morozzi | 12/2022 |
7378 | 2^338173-137053 | 101801 | Stefano Morozzi | 12/2022 |
7379 | 2^338174-36797 | 101801 | Stefano Morozzi | 12/2022 |
7380 | 2^338175-166509 | 101801 | Stefano Morozzi | 01/2023 |
7381 | 2^338169-155965 | 101800 | Stefano Morozzi | 02/2022 |
7382 | 2^338172+95797 | 101800 | Stefano Morozzi | 11/2022 |
7383 | 2^338166+183237 | 101799 | Stefano Morozzi | 02/2022 |
7384 | 2^338168-157835 | 101799 | Stefano Morozzi | 03/2022 |
7385 | 2^338166+137107 | 101799 | Stefano Morozzi | 04/2022 |
7386 | 2^338166+22897 | 101799 | Stefano Morozzi | 11/2022 |
7387 | 2^338166-161123 | 101799 | Stefano Morozzi | 12/2022 |
7388 | 2^338165-152139 | 101798 | Stefano Morozzi | 12/2021 |
7389 | 2^338163-178947 | 101798 | Stefano Morozzi | 02/2022 |
7390 | 2^338164-64329 | 101798 | Stefano Morozzi | 01/2023 |
7391 | 2^338159-127575 | 101797 | Stefano Morozzi | 12/2021 |
7392 | 2^338161+154259 | 101797 | Stefano Morozzi | 01/2022 |
7393 | 2^338160+139947 | 101797 | Stefano Morozzi | 05/2022 |
7394 | 2^338160+191815 | 101797 | Stefano Morozzi | 09/2022 |
7395 | 2^338160+22207 | 101797 | Stefano Morozzi | 11/2022 |
7396 | 2^338161+196157 | 101797 | Stefano Morozzi | 11/2022 |
7397 | 2^338162-138635 | 101797 | Stefano Morozzi | 12/2022 |
7398 | 2^338156-75269 | 101796 | Stefano Morozzi | 12/2021 |
7399 | 2^338156-151247 | 101796 | Stefano Morozzi | 12/2021 |
7400 | 2^338156+103273 | 101796 | Stefano Morozzi | 01/2022 |
7401 | 2^338156+167053 | 101796 | Stefano Morozzi | 09/2022 |
7402 | 2^338158+69303 | 101796 | Stefano Morozzi | 09/2022 |
7403 | 2^338158+171189 | 101796 | Stefano Morozzi | 11/2022 |
7404 | 2^338157-188989 | 101796 | Stefano Morozzi | 12/2022 |
7405 | 2^338158-188711 | 101796 | Stefano Morozzi | 12/2022 |
7406 | 2^338155+132621 | 101795 | Stefano Morozzi | 02/2022 |
7407 | 2^338155-82605 | 101795 | Stefano Morozzi | 03/2022 |
7408 | 2^338155-182631 | 101795 | Stefano Morozzi | 03/2022 |
7409 | 2^338155+187755 | 101795 | Stefano Morozzi | 04/2022 |
7410 | 2^338154-83975 | 101795 | Stefano Morozzi | 04/2022 |
7411 | 2^338154+163759 | 101795 | Stefano Morozzi | 05/2022 |
7412 | 2^338152-25767 | 101794 | Stefano Morozzi | 12/2021 |
7413 | 2^338152+181927 | 101794 | Stefano Morozzi | 02/2022 |
7414 | 2^338151+60779 | 101794 | Stefano Morozzi | 03/2022 |
7415 | 2^338151+189149 | 101794 | Stefano Morozzi | 05/2022 |
7416 | 2^338152+45567 | 101794 | Stefano Morozzi | 11/2022 |
7417 | 2^338147+29343 | 101793 | Stefano Morozzi | 01/2022 |
7418 | 2^338148+130803 | 101793 | Stefano Morozzi | 01/2022 |
7419 | 2^338146+166167 | 101793 | Stefano Morozzi | 06/2022 |
7420 | 2^338149-185073 | 101793 | Stefano Morozzi | 06/2022 |
7421 | 2^338149+41757 | 101793 | Stefano Morozzi | 09/2022 |
7422 | 2^338144+180697 | 101792 | Stefano Morozzi | 01/2022 |
7423 | 2^338143+8589 | 101792 | Stefano Morozzi | 02/2022 |
7424 | 2^338143-55611 | 101792 | Stefano Morozzi | 02/2022 |
7425 | 2^338143+60623 | 101792 | Stefano Morozzi | 03/2022 |
7426 | 2^338145-63609 | 101792 | Stefano Morozzi | 12/2022 |
7427 | 2^338141-77301 | 101791 | Stefano Morozzi | 12/2021 |
7428 | 2^338141+157145 | 101791 | Stefano Morozzi | 02/2022 |
7429 | 2^338140+84745 | 101791 | Stefano Morozzi | 03/2022 |
7430 | 2^338140+90073 | 101791 | Stefano Morozzi | 05/2022 |
7431 | 2^338142+96583 | 101791 | Stefano Morozzi | 11/2022 |
7432 | 2^338139-134719 | 101790 | Stefano Morozzi | 04/2022 |
7433 | 2^338138+95443 | 101790 | Stefano Morozzi | 11/2022 |
7434 | 2^338133+1445 | 101789 | Stefano Morozzi | 12/2021 |
7435 | 2^338133+172469 | 101789 | Stefano Morozzi | 11/2022 |
7436 | 2^338134+23235 | 101789 | Stefano Morozzi | 11/2022 |
7437 | 2^338132+105643 | 101788 | Stefano Morozzi | 01/2022 |
7438 | 2^338131+181871 | 101788 | Stefano Morozzi | 02/2022 |
7439 | 2^338132-184539 | 101788 | Stefano Morozzi | 04/2022 |
7440 | 2^338130+22383 | 101788 | Stefano Morozzi | 11/2022 |
7441 | 2^338132+170143 | 101788 | Stefano Morozzi | 11/2022 |
7442 | 2^338131-62599 | 101788 | Stefano Morozzi | 12/2022 |
7443 | 2^338128+128953 | 101787 | Stefano Morozzi | 01/2022 |
7444 | 2^338127+11021 | 101787 | Stefano Morozzi | 03/2022 |
7445 | 2^338127+192935 | 101787 | Stefano Morozzi | 09/2022 |
7446 | 2^338127+98621 | 101787 | Stefano Morozzi | 11/2022 |
7447 | 2^338123-25959 | 101786 | Stefano Morozzi | 12/2021 |
7448 | 2^338124-180765 | 101786 | Stefano Morozzi | 02/2022 |
7449 | 2^338125-7129 | 101786 | Stefano Morozzi | 03/2022 |
7450 | 2^338125-40071 | 101786 | Stefano Morozzi | 01/2023 |
7454 | 2^338122-20117 | 101785 | Enzo Doria | 06/2013 |
7455 | (2^338139+5)/905333 | 101785 | Lelio R Paula | 12/2013 |
7451 | 2^338122+32799 | 101785 | Stefano Morozzi | 02/2022 |
7452 | 2^338120+166411 | 101785 | Stefano Morozzi | 06/2022 |
7453 | 2^338122+90705 | 101785 | Stefano Morozzi | 06/2022 |
7456 | 2^338117+103761 | 101784 | Stefano Morozzi | 01/2022 |
7457 | 2^338118+53817 | 101784 | Stefano Morozzi | 01/2022 |
7458 | 2^338116+82585 | 101784 | Stefano Morozzi | 02/2022 |
7459 | 2^338118+39483 | 101784 | Stefano Morozzi | 05/2022 |
7460 | 2^338119+96659 | 101784 | Stefano Morozzi | 11/2022 |
7461 | 2^338115+61083 | 101783 | Stefano Morozzi | 03/2022 |
7462 | 2^338114+173287 | 101783 | Stefano Morozzi | 11/2022 |
7463 | 2^338113-139681 | 101783 | Stefano Morozzi | 01/2023 |
7464 | 2^338110-175365 | 101782 | Stefano Morozzi | 12/2021 |
7465 | 2^338110-3963 | 101782 | Stefano Morozzi | 01/2022 |
7466 | 2^338112+155061 | 101782 | Stefano Morozzi | 01/2022 |
7467 | 2^338112+137335 | 101782 | Stefano Morozzi | 04/2022 |
7468 | 2^338111-85627 | 101782 | Stefano Morozzi | 06/2022 |
7469 | 2^338111-90145 | 101782 | Stefano Morozzi | 01/2023 |
7478 | 35^65917-7092 | 101781 | Enzo Doria | 03/2013 |
7470 | 2^338107-1221 | 101781 | Stefano Morozzi | 12/2021 |
7471 | 2^338109+108539 | 101781 | Stefano Morozzi | 03/2022 |
7472 | 2^338109-7261 | 101781 | Stefano Morozzi | 03/2022 |
7473 | 2^338109-131961 | 101781 | Stefano Morozzi | 03/2022 |
7474 | 2^338108+39585 | 101781 | Stefano Morozzi | 05/2022 |
7475 | 2^338109+38147 | 101781 | Stefano Morozzi | 05/2022 |
7476 | 2^338108+17301 | 101781 | Stefano Morozzi | 09/2022 |
7477 | 2^338108-65859 | 101781 | Stefano Morozzi | 01/2023 |
7479 | 2^338105+79599 | 101780 | Stefano Morozzi | 01/2022 |
7480 | 2^338103-180675 | 101780 | Stefano Morozzi | 02/2022 |
7481 | 2^338103+19499 | 101780 | Stefano Morozzi | 09/2022 |
7482 | 2^338103-165319 | 101780 | Stefano Morozzi | 01/2023 |
7483 | 2^338100-100389 | 101779 | Stefano Morozzi | 12/2021 |
7484 | 2^338100+27595 | 101779 | Stefano Morozzi | 12/2021 |
7485 | 2^338101+101139 | 101779 | Stefano Morozzi | 12/2021 |
7486 | 2^338101+134985 | 101779 | Stefano Morozzi | 03/2022 |
7487 | 2^338102+186135 | 101779 | Stefano Morozzi | 03/2022 |
7488 | 2^338100+36885 | 101779 | Stefano Morozzi | 04/2022 |
7489 | 2^338102-8151 | 101779 | Stefano Morozzi | 04/2022 |
7490 | 2^338100+90637 | 101779 | Stefano Morozzi | 06/2022 |
7491 | 2^338101+68505 | 101779 | Stefano Morozzi | 09/2022 |
7492 | 2^338097+100229 | 101778 | Stefano Morozzi | 11/2021 |
7493 | 2^338097-25695 | 101778 | Stefano Morozzi | 12/2021 |
7494 | 2^338098-110043 | 101778 | Stefano Morozzi | 06/2022 |
7495 | 2^338099-191389 | 101778 | Stefano Morozzi | 01/2023 |
7496 | 2^338093-128403 | 101777 | Stefano Morozzi | 01/2022 |
7497 | 2^338093+33051 | 101777 | Stefano Morozzi | 02/2022 |
7498 | 2^338094+135555 | 101777 | Stefano Morozzi | 03/2022 |
7499 | 2^338095-32395 | 101777 | Stefano Morozzi | 03/2022 |
7500 | 2^338090-175353 | 101776 | Stefano Morozzi | 12/2021 |