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
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See the Latest PRPs
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Rank |
Probable prime |
Digits (> 50000) |
Who ? |
When ? |
8251 | 2^338251+78975 | 101824 | Stefano Morozzi | 01/2022 |
8252 | 2^338252-178709 | 101824 | Stefano Morozzi | 01/2022 |
8253 | 2^338252+129703 | 101824 | Stefano Morozzi | 01/2022 |
8254 | 2^338252+132285 | 101824 | Stefano Morozzi | 02/2022 |
8255 | 2^338251-33381 | 101824 | Stefano Morozzi | 04/2022 |
8256 | 2^338252-13805 | 101824 | Stefano Morozzi | 12/2022 |
8257 | 2^338245-134755 | 101822 | Stefano Morozzi | 04/2022 |
8258 | 2^338244-59219 | 101822 | Stefano Morozzi | 04/2022 |
8259 | 2^338244-64703 | 101822 | Stefano Morozzi | 01/2023 |
8267 | (2^338242+2782)/2 | 101821 | Stefano Morozzi | 02/2021 |
8260 | 2^338241+1391 | 101821 | Stefano Morozzi | 12/2021 |
8261 | 2^338242+151195 | 101821 | Stefano Morozzi | 12/2021 |
8262 | 2^338240-152495 | 101821 | Stefano Morozzi | 12/2021 |
8263 | 2^338240+81745 | 101821 | Stefano Morozzi | 02/2022 |
8264 | 2^338241-155551 | 101821 | Stefano Morozzi | 02/2022 |
8265 | 2^338242-108237 | 101821 | Stefano Morozzi | 04/2022 |
8266 | 2^338242+43045 | 101821 | Stefano Morozzi | 09/2022 |
8268 | 2^338238-126735 | 101820 | Stefano Morozzi | 12/2021 |
8269 | 2^338238+183855 | 101820 | Stefano Morozzi | 03/2022 |
8270 | 2^338238+141013 | 101820 | Stefano Morozzi | 06/2022 |
8271 | 2^338237+97227 | 101820 | Stefano Morozzi | 11/2022 |
8272 | 2^338238+48429 | 101820 | Stefano Morozzi | 11/2022 |
8273 | 2^338234-80925 | 101819 | Stefano Morozzi | 02/2022 |
8274 | 2^338234-154593 | 101819 | Stefano Morozzi | 02/2022 |
8275 | 2^338235-131787 | 101819 | Stefano Morozzi | 03/2022 |
8276 | 2^338233+89781 | 101819 | Stefano Morozzi | 05/2022 |
8277 | 2^338235+169971 | 101819 | Stefano Morozzi | 11/2022 |
8278 | 2^338233-113875 | 101819 | Stefano Morozzi | 12/2022 |
8285 | (3*2^338236-1)/347 | 101818 | Lelio R Paula | 03/2014 |
8279 | 2^338232-175539 | 101818 | Stefano Morozzi | 12/2021 |
8280 | 2^338231+57345 | 101818 | Stefano Morozzi | 02/2022 |
8281 | 2^338232+36097 | 101818 | Stefano Morozzi | 03/2022 |
8282 | 2^338230+137403 | 101818 | Stefano Morozzi | 04/2022 |
8283 | 2^338231-59569 | 101818 | Stefano Morozzi | 04/2022 |
8284 | 2^338230-86633 | 101818 | Stefano Morozzi | 12/2022 |
8286 | 2^338228+159247 | 101817 | Stefano Morozzi | 03/2022 |
8287 | 2^338227-12631 | 101817 | Stefano Morozzi | 12/2022 |
8288 | (34*10^101815+191)/9 | 101816 | Robert Price | 08/2021 |
8289 | 2^338224+185461 | 101816 | Stefano Morozzi | 03/2022 |
8290 | 2^338224+62295 | 101816 | Stefano Morozzi | 04/2022 |
8291 | 2^338225+162645 | 101816 | Stefano Morozzi | 04/2022 |
8292 | 2^338223+144209 | 101816 | Stefano Morozzi | 09/2022 |
8299 | 6^130841+103 | 101815 | Lelio R Paula | 10/2016 |
8293 | 2^338220+150405 | 101815 | Stefano Morozzi | 11/2021 |
8294 | 2^338219-4147 | 101815 | Stefano Morozzi | 01/2022 |
8295 | 2^338221+83391 | 101815 | Stefano Morozzi | 02/2022 |
8296 | 2^338221+62937 | 101815 | Stefano Morozzi | 04/2022 |
8297 | 2^338220-65697 | 101815 | Stefano Morozzi | 01/2023 |
8298 | 2^338220-139505 | 101815 | Stefano Morozzi | 01/2023 |
8300 | 2^338216+77473 | 101814 | Stefano Morozzi | 12/2021 |
8301 | 2^338218+155299 | 101814 | Stefano Morozzi | 01/2022 |
8302 | 2^338217-134745 | 101814 | Stefano Morozzi | 04/2022 |
8303 | 2^338218+73507 | 101814 | Stefano Morozzi | 11/2022 |
8304 | 2^338213-125631 | 101813 | Stefano Morozzi | 12/2021 |
8305 | 2^338215+25845 | 101813 | Stefano Morozzi | 12/2021 |
8306 | 2^338210-153537 | 101812 | Stefano Morozzi | 01/2022 |
8307 | 2^338209+60915 | 101812 | Stefano Morozzi | 03/2022 |
8308 | 2^338211-57297 | 101812 | Stefano Morozzi | 03/2022 |
8309 | 2^338211-110257 | 101812 | Stefano Morozzi | 06/2022 |
8310 | 2^338211+71549 | 101812 | Stefano Morozzi | 11/2022 |
8311 | 2^338208-178787 | 101811 | Stefano Morozzi | 01/2022 |
8312 | 2^338208+106153 | 101811 | Stefano Morozzi | 01/2022 |
8313 | 2^338207+16499 | 101811 | Stefano Morozzi | 06/2022 |
8314 | 2^338205+102471 | 101810 | Stefano Morozzi | 12/2021 |
8315 | 2^338199-176377 | 101809 | Stefano Morozzi | 12/2021 |
8316 | 2^338201-151233 | 101809 | Stefano Morozzi | 12/2021 |
8317 | 2^338202-152061 | 101809 | Stefano Morozzi | 12/2021 |
8318 | 2^338202+133785 | 101809 | Stefano Morozzi | 03/2022 |
8319 | 2^338200+135643 | 101809 | Stefano Morozzi | 03/2022 |
8320 | 2^338202+14169 | 101809 | Stefano Morozzi | 05/2022 |
8321 | 2^338202-85211 | 101809 | Stefano Morozzi | 06/2022 |
8322 | 2^338200+74265 | 101809 | Stefano Morozzi | 02/2023 |
8323 | 2^338196+121147 | 101808 | Stefano Morozzi | 11/2022 |
8324 | 2^338196+73551 | 101808 | Stefano Morozzi | 11/2022 |
8325 | 2^338194-175845 | 101807 | Stefano Morozzi | 12/2021 |
8326 | 2^338195+56771 | 101807 | Stefano Morozzi | 02/2022 |
8327 | 2^338195+162365 | 101807 | Stefano Morozzi | 04/2022 |
8328 | 2^338194+67497 | 101807 | Stefano Morozzi | 09/2022 |
8329 | 2^338193-116335 | 101807 | Stefano Morozzi | 01/2023 |
8330 | 2^338194-15585 | 101807 | Stefano Morozzi | 01/2023 |
8331 | 2^338192+130387 | 101806 | Stefano Morozzi | 01/2022 |
8332 | 2^338190+89359 | 101806 | Stefano Morozzi | 05/2022 |
8333 | 2^338189+144605 | 101806 | Stefano Morozzi | 09/2022 |
8334 | 2^338190-113537 | 101806 | Stefano Morozzi | 12/2022 |
8335 | 2^338186+127245 | 101805 | Stefano Morozzi | 12/2021 |
8336 | 2^338186-130013 | 101805 | Stefano Morozzi | 02/2022 |
8337 | 2^338186+39235 | 101805 | Stefano Morozzi | 05/2022 |
8338 | 2^338185+77315 | 101804 | Stefano Morozzi | 12/2021 |
8339 | 2^338185+102519 | 101804 | Stefano Morozzi | 12/2021 |
8340 | 2^338183-76539 | 101804 | Stefano Morozzi | 12/2021 |
8341 | 2^338185+104489 | 101804 | Stefano Morozzi | 01/2022 |
8342 | 2^338179+35361 | 101803 | Stefano Morozzi | 03/2022 |
8343 | 2^338181+64235 | 101803 | Stefano Morozzi | 05/2022 |
8344 | 2^338181+94047 | 101803 | Stefano Morozzi | 09/2022 |
8345 | 2^338180+146131 | 101803 | Stefano Morozzi | 11/2022 |
8346 | 2^338179+123399 | 101803 | Stefano Morozzi | 11/2022 |
8347 | 2^338182-42425 | 101803 | Stefano Morozzi | 02/2023 |
8348 | 2^338177+51807 | 101802 | Stefano Morozzi | 12/2021 |
8349 | 2^338177+107385 | 101802 | Stefano Morozzi | 02/2022 |
8350 | 2^338178+34287 | 101802 | Stefano Morozzi | 03/2022 |
8351 | 2^338178+184207 | 101802 | Stefano Morozzi | 03/2022 |
8352 | 2^338177-108901 | 101802 | Stefano Morozzi | 04/2022 |
8353 | 2^338177+141569 | 101802 | Stefano Morozzi | 06/2022 |
8354 | 2^338176+46221 | 101802 | Stefano Morozzi | 11/2022 |
8355 | 2^338175+25161 | 101801 | Stefano Morozzi | 11/2021 |
8356 | 2^338173-27901 | 101801 | Stefano Morozzi | 01/2022 |
8357 | 2^338174+23217 | 101801 | Stefano Morozzi | 11/2022 |
8358 | 2^338174+23793 | 101801 | Stefano Morozzi | 11/2022 |
8359 | 2^338173-36183 | 101801 | Stefano Morozzi | 12/2022 |
8360 | 2^338173-137053 | 101801 | Stefano Morozzi | 12/2022 |
8361 | 2^338174-36797 | 101801 | Stefano Morozzi | 12/2022 |
8362 | 2^338175-166509 | 101801 | Stefano Morozzi | 01/2023 |
8363 | 2^338169-155965 | 101800 | Stefano Morozzi | 02/2022 |
8364 | 2^338172+95797 | 101800 | Stefano Morozzi | 11/2022 |
8365 | 2^338171-117987 | 101800 | Stefano Morozzi | 02/2023 |
8366 | 2^338166+183237 | 101799 | Stefano Morozzi | 02/2022 |
8367 | 2^338168-157835 | 101799 | Stefano Morozzi | 03/2022 |
8368 | 2^338166+137107 | 101799 | Stefano Morozzi | 04/2022 |
8369 | 2^338166+22897 | 101799 | Stefano Morozzi | 11/2022 |
8370 | 2^338166-161123 | 101799 | Stefano Morozzi | 12/2022 |
8371 | 2^338165-152139 | 101798 | Stefano Morozzi | 12/2021 |
8372 | 2^338163-178947 | 101798 | Stefano Morozzi | 02/2022 |
8373 | 2^338164-64329 | 101798 | Stefano Morozzi | 01/2023 |
8374 | 2^338159-127575 | 101797 | Stefano Morozzi | 12/2021 |
8375 | 2^338161+154259 | 101797 | Stefano Morozzi | 01/2022 |
8376 | 2^338160+139947 | 101797 | Stefano Morozzi | 05/2022 |
8377 | 2^338160+191815 | 101797 | Stefano Morozzi | 09/2022 |
8378 | 2^338160+22207 | 101797 | Stefano Morozzi | 11/2022 |
8379 | 2^338161+196157 | 101797 | Stefano Morozzi | 11/2022 |
8380 | 2^338162-138635 | 101797 | Stefano Morozzi | 12/2022 |
8381 | 2^338156-75269 | 101796 | Stefano Morozzi | 12/2021 |
8382 | 2^338156-151247 | 101796 | Stefano Morozzi | 12/2021 |
8383 | 2^338156+103273 | 101796 | Stefano Morozzi | 01/2022 |
8384 | 2^338156+167053 | 101796 | Stefano Morozzi | 09/2022 |
8385 | 2^338158+69303 | 101796 | Stefano Morozzi | 09/2022 |
8386 | 2^338158+171189 | 101796 | Stefano Morozzi | 11/2022 |
8387 | 2^338157-188989 | 101796 | Stefano Morozzi | 12/2022 |
8388 | 2^338158-188711 | 101796 | Stefano Morozzi | 12/2022 |
8389 | 2^338155+132621 | 101795 | Stefano Morozzi | 02/2022 |
8390 | 2^338155-82605 | 101795 | Stefano Morozzi | 03/2022 |
8391 | 2^338155-182631 | 101795 | Stefano Morozzi | 03/2022 |
8392 | 2^338155+187755 | 101795 | Stefano Morozzi | 04/2022 |
8393 | 2^338154-83975 | 101795 | Stefano Morozzi | 04/2022 |
8394 | 2^338154+163759 | 101795 | Stefano Morozzi | 05/2022 |
8395 | 2^338152-25767 | 101794 | Stefano Morozzi | 12/2021 |
8396 | 2^338152+181927 | 101794 | Stefano Morozzi | 02/2022 |
8397 | 2^338151+60779 | 101794 | Stefano Morozzi | 03/2022 |
8398 | 2^338151+189149 | 101794 | Stefano Morozzi | 05/2022 |
8399 | 2^338152+45567 | 101794 | Stefano Morozzi | 11/2022 |
8400 | 2^338147+29343 | 101793 | Stefano Morozzi | 01/2022 |
8401 | 2^338148+130803 | 101793 | Stefano Morozzi | 01/2022 |
8402 | 2^338146+166167 | 101793 | Stefano Morozzi | 06/2022 |
8403 | 2^338149-185073 | 101793 | Stefano Morozzi | 06/2022 |
8404 | 2^338149+41757 | 101793 | Stefano Morozzi | 09/2022 |
8405 | 2^338149+125015 | 101793 | Stefano Morozzi | 02/2023 |
8406 | 2^338144+180697 | 101792 | Stefano Morozzi | 01/2022 |
8407 | 2^338143+8589 | 101792 | Stefano Morozzi | 02/2022 |
8408 | 2^338143-55611 | 101792 | Stefano Morozzi | 02/2022 |
8409 | 2^338143+60623 | 101792 | Stefano Morozzi | 03/2022 |
8410 | 2^338145-63609 | 101792 | Stefano Morozzi | 12/2022 |
8411 | 2^338141-77301 | 101791 | Stefano Morozzi | 12/2021 |
8412 | 2^338141+157145 | 101791 | Stefano Morozzi | 02/2022 |
8413 | 2^338140+84745 | 101791 | Stefano Morozzi | 03/2022 |
8414 | 2^338140+90073 | 101791 | Stefano Morozzi | 05/2022 |
8415 | 2^338142+96583 | 101791 | Stefano Morozzi | 11/2022 |
8416 | 2^338139-134719 | 101790 | Stefano Morozzi | 04/2022 |
8417 | 2^338138+95443 | 101790 | Stefano Morozzi | 11/2022 |
8418 | 2^338133+1445 | 101789 | Stefano Morozzi | 12/2021 |
8419 | 2^338133+172469 | 101789 | Stefano Morozzi | 11/2022 |
8420 | 2^338134+23235 | 101789 | Stefano Morozzi | 11/2022 |
8421 | 2^338132+105643 | 101788 | Stefano Morozzi | 01/2022 |
8422 | 2^338131+181871 | 101788 | Stefano Morozzi | 02/2022 |
8423 | 2^338132-184539 | 101788 | Stefano Morozzi | 04/2022 |
8424 | 2^338130+22383 | 101788 | Stefano Morozzi | 11/2022 |
8425 | 2^338132+170143 | 101788 | Stefano Morozzi | 11/2022 |
8426 | 2^338131-62599 | 101788 | Stefano Morozzi | 12/2022 |
8427 | 2^338128+128953 | 101787 | Stefano Morozzi | 01/2022 |
8428 | 2^338127+11021 | 101787 | Stefano Morozzi | 03/2022 |
8429 | 2^338127+192935 | 101787 | Stefano Morozzi | 09/2022 |
8430 | 2^338127+98621 | 101787 | Stefano Morozzi | 11/2022 |
8431 | 2^338128+98853 | 101787 | Stefano Morozzi | 02/2023 |
8432 | 2^338123-25959 | 101786 | Stefano Morozzi | 12/2021 |
8433 | 2^338124-180765 | 101786 | Stefano Morozzi | 02/2022 |
8434 | 2^338125-7129 | 101786 | Stefano Morozzi | 03/2022 |
8435 | 2^338125-40071 | 101786 | Stefano Morozzi | 01/2023 |
8439 | 2^338122-20117 | 101785 | Enzo Doria | 06/2013 |
8440 | (2^338139+5)/905333 | 101785 | Lelio R Paula | 12/2013 |
8436 | 2^338122+32799 | 101785 | Stefano Morozzi | 02/2022 |
8437 | 2^338120+166411 | 101785 | Stefano Morozzi | 06/2022 |
8438 | 2^338122+90705 | 101785 | Stefano Morozzi | 06/2022 |
8441 | 2^338117+103761 | 101784 | Stefano Morozzi | 01/2022 |
8442 | 2^338118+53817 | 101784 | Stefano Morozzi | 01/2022 |
8443 | 2^338116+82585 | 101784 | Stefano Morozzi | 02/2022 |
8444 | 2^338118+39483 | 101784 | Stefano Morozzi | 05/2022 |
8445 | 2^338119+96659 | 101784 | Stefano Morozzi | 11/2022 |
8446 | 2^338115+61083 | 101783 | Stefano Morozzi | 03/2022 |
8447 | 2^338114+173287 | 101783 | Stefano Morozzi | 11/2022 |
8448 | 2^338113-139681 | 101783 | Stefano Morozzi | 01/2023 |
8449 | 2^338110-175365 | 101782 | Stefano Morozzi | 12/2021 |
8450 | 2^338110-3963 | 101782 | Stefano Morozzi | 01/2022 |
8451 | 2^338112+155061 | 101782 | Stefano Morozzi | 01/2022 |
8452 | 2^338112+137335 | 101782 | Stefano Morozzi | 04/2022 |
8453 | 2^338111-85627 | 101782 | Stefano Morozzi | 06/2022 |
8454 | 2^338111-90145 | 101782 | Stefano Morozzi | 01/2023 |
8463 | 35^65917-7092 | 101781 | Enzo Doria | 03/2013 |
8455 | 2^338107-1221 | 101781 | Stefano Morozzi | 12/2021 |
8456 | 2^338109+108539 | 101781 | Stefano Morozzi | 03/2022 |
8457 | 2^338109-7261 | 101781 | Stefano Morozzi | 03/2022 |
8458 | 2^338109-131961 | 101781 | Stefano Morozzi | 03/2022 |
8459 | 2^338108+39585 | 101781 | Stefano Morozzi | 05/2022 |
8460 | 2^338109+38147 | 101781 | Stefano Morozzi | 05/2022 |
8461 | 2^338108+17301 | 101781 | Stefano Morozzi | 09/2022 |
8462 | 2^338108-65859 | 101781 | Stefano Morozzi | 01/2023 |
8464 | 2^338105+79599 | 101780 | Stefano Morozzi | 01/2022 |
8465 | 2^338103-180675 | 101780 | Stefano Morozzi | 02/2022 |
8466 | 2^338103+19499 | 101780 | Stefano Morozzi | 09/2022 |
8467 | 2^338103-165319 | 101780 | Stefano Morozzi | 01/2023 |
8468 | 2^338100-100389 | 101779 | Stefano Morozzi | 12/2021 |
8469 | 2^338100+27595 | 101779 | Stefano Morozzi | 12/2021 |
8470 | 2^338101+101139 | 101779 | Stefano Morozzi | 12/2021 |
8471 | 2^338101+134985 | 101779 | Stefano Morozzi | 03/2022 |
8472 | 2^338102+186135 | 101779 | Stefano Morozzi | 03/2022 |
8473 | 2^338100+36885 | 101779 | Stefano Morozzi | 04/2022 |
8474 | 2^338102-8151 | 101779 | Stefano Morozzi | 04/2022 |
8475 | 2^338100+90637 | 101779 | Stefano Morozzi | 06/2022 |
8476 | 2^338101+68505 | 101779 | Stefano Morozzi | 09/2022 |
8477 | 2^338100-42867 | 101779 | Stefano Morozzi | 02/2023 |
8478 | 2^338097+100229 | 101778 | Stefano Morozzi | 11/2021 |
8479 | 2^338097-25695 | 101778 | Stefano Morozzi | 12/2021 |
8480 | 2^338098-110043 | 101778 | Stefano Morozzi | 06/2022 |
8481 | 2^338099-191389 | 101778 | Stefano Morozzi | 01/2023 |
8482 | 2^338093-128403 | 101777 | Stefano Morozzi | 01/2022 |
8483 | 2^338093+33051 | 101777 | Stefano Morozzi | 02/2022 |
8484 | 2^338094+135555 | 101777 | Stefano Morozzi | 03/2022 |
8485 | 2^338095-32395 | 101777 | Stefano Morozzi | 03/2022 |
8486 | 2^338090-175353 | 101776 | Stefano Morozzi | 12/2021 |
8487 | 2^338090+33277 | 101776 | Stefano Morozzi | 02/2022 |
8488 | 2^338091-105601 | 101776 | Stefano Morozzi | 02/2022 |
8489 | 2^338091-32127 | 101776 | Stefano Morozzi | 03/2022 |
8490 | 2^338092+12873 | 101776 | Stefano Morozzi | 04/2022 |
8491 | 2^338091-58485 | 101776 | Stefano Morozzi | 04/2022 |
8492 | 2^338086+177643 | 101775 | Stefano Morozzi | 12/2021 |
8493 | 2^338089+82905 | 101775 | Stefano Morozzi | 02/2022 |
8494 | 2^338088+87565 | 101775 | Stefano Morozzi | 04/2022 |
8495 | 2^338088-166205 | 101775 | Stefano Morozzi | 01/2023 |
8496 | 2^338089-140053 | 101775 | Stefano Morozzi | 01/2023 |
8497 | 2^338087+124935 | 101775 | Stefano Morozzi | 02/2023 |
8498 | 2^338085-3301 | 101774 | Stefano Morozzi | 01/2022 |
8499 | 2^338084+108691 | 101774 | Stefano Morozzi | 03/2022 |
8500 | 2^338083+164369 | 101774 | Stefano Morozzi | 05/2022 |