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 ? |
9251 | 2^338479+87243 | 101893 | Stefano Morozzi | 04/2022 |
9252 | 2^338479+167619 | 101893 | Stefano Morozzi | 09/2022 |
9253 | 2^338480+197503 | 101893 | Stefano Morozzi | 11/2022 |
9254 | 2^338481-11421 | 101893 | Stefano Morozzi | 12/2022 |
9255 | 2^338479-89649 | 101893 | Stefano Morozzi | 01/2023 |
9256 | (29*34^66532-12833)/33 | 101893 | Eric Chen | 03/2023 |
9259 | 2^338475+54615 | 101892 | Lelio R Paula | 10/2016 |
9257 | 2^338475-59775 | 101892 | Stefano Morozzi | 04/2022 |
9258 | 2^338476-134237 | 101892 | Stefano Morozzi | 04/2022 |
9260 | 2^338474+100767 | 101891 | Stefano Morozzi | 11/2021 |
9261 | 2^338474+81165 | 101891 | Stefano Morozzi | 01/2022 |
9262 | 2^338474+41137 | 101891 | Stefano Morozzi | 06/2022 |
9263 | 2^338472-110445 | 101891 | Stefano Morozzi | 06/2022 |
9264 | 2^338473-89535 | 101891 | Stefano Morozzi | 01/2023 |
9265 | 2^338470+27777 | 101890 | Stefano Morozzi | 01/2022 |
9266 | 2^338468+31351 | 101890 | Stefano Morozzi | 01/2022 |
9267 | 2^338469-106339 | 101890 | Stefano Morozzi | 03/2022 |
9268 | 2^338471+187469 | 101890 | Stefano Morozzi | 04/2022 |
9269 | 2^338468+96613 | 101890 | Stefano Morozzi | 11/2022 |
9270 | 2^338469+46167 | 101890 | Stefano Morozzi | 11/2022 |
9271 | 2^338470+71527 | 101890 | Stefano Morozzi | 11/2022 |
9272 | 2^338469-112783 | 101890 | Stefano Morozzi | 12/2022 |
9273 | 2^338470-115665 | 101890 | Stefano Morozzi | 01/2023 |
9274 | 2^338467-25665 | 101889 | Stefano Morozzi | 12/2021 |
9275 | 2^338465+152139 | 101889 | Stefano Morozzi | 12/2021 |
9276 | 2^338466-28643 | 101889 | Stefano Morozzi | 01/2022 |
9277 | 2^338465+181517 | 101889 | Stefano Morozzi | 01/2022 |
9278 | 2^338466+115917 | 101889 | Stefano Morozzi | 06/2022 |
9279 | 2^338465-88291 | 101889 | Stefano Morozzi | 12/2022 |
9280 | 2^338464-104009 | 101888 | Stefano Morozzi | 02/2022 |
9281 | 2^338463+185169 | 101888 | Stefano Morozzi | 03/2022 |
9282 | 2^338464+60595 | 101888 | Stefano Morozzi | 03/2022 |
9283 | 2^338464-66377 | 101888 | Stefano Morozzi | 01/2023 |
9284 | 2^338458+60273 | 101887 | Stefano Morozzi | 03/2022 |
9285 | 2^338461+135867 | 101887 | Stefano Morozzi | 03/2022 |
9286 | 2^338455-4621 | 101886 | Stefano Morozzi | 02/2022 |
9287 | 2^338457+187827 | 101886 | Stefano Morozzi | 04/2022 |
9288 | 2^338455+173349 | 101886 | Stefano Morozzi | 11/2022 |
9289 | 2^338454+133737 | 101885 | Stefano Morozzi | 03/2022 |
9290 | 2^338454-158501 | 101885 | Stefano Morozzi | 04/2022 |
9291 | 2^338454-184217 | 101885 | Stefano Morozzi | 04/2022 |
9292 | 2^338453+164451 | 101885 | Stefano Morozzi | 05/2022 |
9293 | 2^338452-136137 | 101885 | Stefano Morozzi | 12/2022 |
9294 | 2^338450+106275 | 101884 | Stefano Morozzi | 01/2022 |
9295 | 2^338450+168439 | 101884 | Stefano Morozzi | 09/2022 |
9296 | (133*10^101881+17)/3 | 101883 | Robert Price | 11/2021 |
9297 | 2^338445-80461 | 101883 | Stefano Morozzi | 02/2022 |
9298 | 2^338446-131211 | 101883 | Stefano Morozzi | 02/2022 |
9299 | 2^338448+187167 | 101883 | Stefano Morozzi | 04/2022 |
9300 | 2^338446-160115 | 101883 | Stefano Morozzi | 06/2022 |
9301 | 2^338447-164157 | 101883 | Stefano Morozzi | 01/2023 |
9302 | 2^338447-191001 | 101883 | Stefano Morozzi | 01/2023 |
9303 | 2^338444+127623 | 101882 | Stefano Morozzi | 12/2021 |
9304 | 2^338443-113827 | 101882 | Stefano Morozzi | 12/2022 |
9305 | 2^338441-5893 | 101881 | Stefano Morozzi | 02/2022 |
9306 | 2^338439-162565 | 101881 | Stefano Morozzi | 12/2022 |
9307 | 2^338436+153657 | 101880 | Stefano Morozzi | 01/2022 |
9308 | 2^338437-153159 | 101880 | Stefano Morozzi | 01/2022 |
9309 | 2^338436-83783 | 101880 | Stefano Morozzi | 04/2022 |
9310 | 2^338435+89109 | 101880 | Stefano Morozzi | 05/2022 |
9311 | 2^338435+13871 | 101880 | Stefano Morozzi | 05/2022 |
9312 | 2^338436+149691 | 101880 | Stefano Morozzi | 02/2023 |
9313 | 2^338434+81537 | 101879 | Stefano Morozzi | 01/2022 |
9314 | 2^338432+33495 | 101879 | Stefano Morozzi | 03/2022 |
9315 | 2^338432-7043 | 101879 | Stefano Morozzi | 03/2022 |
9316 | 2^338433-32629 | 101879 | Stefano Morozzi | 03/2022 |
9317 | 2^338430-9903 | 101878 | Stefano Morozzi | 04/2022 |
9325 | 2^338426-19797 | 101877 | Enzo Doria | 06/2013 |
9318 | 2^338427-77797 | 101877 | Stefano Morozzi | 01/2022 |
9319 | 2^338427-178687 | 101877 | Stefano Morozzi | 01/2022 |
9320 | 2^338428-54873 | 101877 | Stefano Morozzi | 02/2022 |
9321 | 2^338425+41357 | 101877 | Stefano Morozzi | 06/2022 |
9322 | 2^338428+90855 | 101877 | Stefano Morozzi | 06/2022 |
9323 | 2^338428-39807 | 101877 | Stefano Morozzi | 01/2023 |
9324 | 2^338425-192381 | 101877 | Stefano Morozzi | 02/2023 |
9326 | 2^338422-188787 | 101876 | Stefano Morozzi | 12/2022 |
9327 | 2^338423-187755 | 101876 | Stefano Morozzi | 12/2022 |
9328 | 2^338422-115865 | 101876 | Stefano Morozzi | 01/2023 |
9329 | 2^338420-178829 | 101875 | Stefano Morozzi | 01/2022 |
9330 | 2^338421-105423 | 101875 | Stefano Morozzi | 02/2022 |
9331 | 2^338419-82761 | 101875 | Stefano Morozzi | 03/2022 |
9332 | 2^338420+193143 | 101875 | Stefano Morozzi | 09/2022 |
9333 | 2^338419+199641 | 101875 | Stefano Morozzi | 02/2023 |
9334 | 2^338420-143103 | 101875 | Stefano Morozzi | 02/2023 |
9335 | 2^338418-50903 | 101874 | Stefano Morozzi | 12/2021 |
9336 | 2^338418+158355 | 101874 | Stefano Morozzi | 02/2022 |
9337 | 2^338418+159339 | 101874 | Stefano Morozzi | 03/2022 |
9338 | 2^338416+14953 | 101874 | Stefano Morozzi | 05/2022 |
9339 | 2^338416+166051 | 101874 | Stefano Morozzi | 06/2022 |
9340 | 2^338418-138765 | 101874 | Stefano Morozzi | 12/2022 |
9341 | 2^338417+49737 | 101874 | Stefano Morozzi | 02/2023 |
9342 | 2^338413-125919 | 101873 | Stefano Morozzi | 12/2021 |
9343 | 2^338414+26083 | 101873 | Stefano Morozzi | 12/2021 |
9344 | 2^338412-152379 | 101873 | Stefano Morozzi | 12/2021 |
9345 | 2^338413+54797 | 101873 | Stefano Morozzi | 01/2022 |
9346 | 2^338412+157951 | 101873 | Stefano Morozzi | 02/2022 |
9347 | 2^338414+81627 | 101873 | Stefano Morozzi | 02/2022 |
9348 | 2^338413+133679 | 101873 | Stefano Morozzi | 03/2022 |
9349 | 2^338413+197735 | 101873 | Stefano Morozzi | 11/2022 |
9350 | 2^338413-114301 | 101873 | Stefano Morozzi | 01/2023 |
9351 | 11*32^67682+395 | 101873 | Eric Chen | 04/2023 |
9352 | 2^338409-52183 | 101872 | Stefano Morozzi | 12/2021 |
9353 | 2^338411-3789 | 101872 | Stefano Morozzi | 01/2022 |
9354 | 2^338409+173237 | 101872 | Stefano Morozzi | 11/2022 |
9355 | 2^338406-184175 | 101871 | Stefano Morozzi | 04/2022 |
9356 | 2^338405+94451 | 101871 | Stefano Morozzi | 09/2022 |
9357 | 2^338406-161217 | 101871 | Stefano Morozzi | 12/2022 |
9358 | 2^338406+199929 | 101871 | Stefano Morozzi | 02/2023 |
9359 | 2^338404+55717 | 101870 | Stefano Morozzi | 01/2022 |
9360 | 2^338403+36261 | 101870 | Stefano Morozzi | 04/2022 |
9361 | 2^338402-34431 | 101870 | Stefano Morozzi | 04/2022 |
9362 | 2^338404-159215 | 101870 | Stefano Morozzi | 04/2022 |
9363 | 2^338403+18363 | 101870 | Stefano Morozzi | 09/2022 |
9364 | 2^338403+170235 | 101870 | Stefano Morozzi | 11/2022 |
9365 | 2^338399+23045 | 101869 | Stefano Morozzi | 11/2022 |
9366 | 2^338399-65535 | 101869 | Stefano Morozzi | 01/2023 |
9367 | 2^338395-127449 | 101868 | Stefano Morozzi | 12/2021 |
9368 | 2^338398-127637 | 101868 | Stefano Morozzi | 01/2022 |
9369 | 2^338398-166533 | 101868 | Stefano Morozzi | 01/2023 |
9370 | 2^338394+100317 | 101867 | Stefano Morozzi | 11/2021 |
9371 | 2^338393-152749 | 101867 | Stefano Morozzi | 01/2022 |
9372 | 2^338393+163025 | 101867 | Stefano Morozzi | 04/2022 |
9373 | 2^338393+89229 | 101867 | Stefano Morozzi | 05/2022 |
9374 | 2^338393+99647 | 101867 | Stefano Morozzi | 02/2023 |
9375 | 2^338394-192471 | 101867 | Stefano Morozzi | 02/2023 |
9376 | 2^338390+76627 | 101866 | Stefano Morozzi | 12/2021 |
9377 | 2^338389-85081 | 101866 | Stefano Morozzi | 06/2022 |
9378 | 2^338390+148113 | 101866 | Stefano Morozzi | 11/2022 |
9379 | 2^338389-14253 | 101866 | Stefano Morozzi | 01/2023 |
9380 | 2^338390-114297 | 101866 | Stefano Morozzi | 01/2023 |
9381 | 2^338391-64225 | 101866 | Stefano Morozzi | 01/2023 |
9382 | 2^338389-16971 | 101866 | Stefano Morozzi | 02/2023 |
9383 | 2^338387-75685 | 101865 | Stefano Morozzi | 12/2021 |
9384 | 2^338388-53459 | 101865 | Stefano Morozzi | 01/2022 |
9385 | 2^338388-36575 | 101865 | Stefano Morozzi | 12/2022 |
9386 | 2^338385-190311 | 101865 | Stefano Morozzi | 01/2023 |
9387 | 2^338384+131563 | 101864 | Stefano Morozzi | 01/2022 |
9388 | 2^338382+109069 | 101864 | Stefano Morozzi | 03/2022 |
9389 | 2^338384+168987 | 101864 | Stefano Morozzi | 09/2022 |
9390 | 2^338383-42367 | 101864 | Stefano Morozzi | 02/2023 |
9391 | 2^338380+77125 | 101863 | Stefano Morozzi | 12/2021 |
9392 | 2^338381-35539 | 101863 | Stefano Morozzi | 06/2022 |
9393 | 2^338378-125841 | 101862 | Stefano Morozzi | 12/2021 |
9394 | 2^338375+27815 | 101862 | Stefano Morozzi | 01/2022 |
9395 | 2^338375-28509 | 101862 | Stefano Morozzi | 01/2022 |
9396 | 2^338375+29985 | 101862 | Stefano Morozzi | 01/2022 |
9397 | 2^338377+157881 | 101862 | Stefano Morozzi | 02/2022 |
9398 | 2^338375+59589 | 101862 | Stefano Morozzi | 03/2022 |
9399 | 2^338378+36399 | 101862 | Stefano Morozzi | 04/2022 |
9400 | 2^338378-159773 | 101862 | Stefano Morozzi | 04/2022 |
9401 | 2^338378+14883 | 101862 | Stefano Morozzi | 05/2022 |
9402 | 2^338376+140173 | 101862 | Stefano Morozzi | 06/2022 |
9403 | 2^338375+18761 | 101862 | Stefano Morozzi | 09/2022 |
9404 | 2^338373-75103 | 101861 | Stefano Morozzi | 12/2021 |
9405 | 2^338372+128877 | 101861 | Stefano Morozzi | 01/2022 |
9406 | 2^338374-28731 | 101861 | Stefano Morozzi | 01/2022 |
9407 | 2^338374-128427 | 101861 | Stefano Morozzi | 01/2022 |
9408 | 2^338372+37875 | 101861 | Stefano Morozzi | 04/2022 |
9409 | 2^338373+161541 | 101861 | Stefano Morozzi | 04/2022 |
9410 | 2^338374+37759 | 101861 | Stefano Morozzi | 04/2022 |
9411 | 2^338372+93235 | 101861 | Stefano Morozzi | 09/2022 |
9412 | 2^338373-63273 | 101861 | Stefano Morozzi | 12/2022 |
9413 | 2^338369+29427 | 101860 | Stefano Morozzi | 01/2022 |
9414 | 2^338370+179133 | 101860 | Stefano Morozzi | 01/2022 |
9415 | 2^338369+131501 | 101860 | Stefano Morozzi | 01/2022 |
9416 | 2^338369+181649 | 101860 | Stefano Morozzi | 02/2022 |
9417 | 2^338370-4787 | 101860 | Stefano Morozzi | 02/2022 |
9418 | 2^338371-133491 | 101860 | Stefano Morozzi | 04/2022 |
9419 | 2^338371+42023 | 101860 | Stefano Morozzi | 09/2022 |
9420 | 2^338371+145323 | 101860 | Stefano Morozzi | 11/2022 |
9421 | 2^338371-138145 | 101860 | Stefano Morozzi | 12/2022 |
9428 | 2^338368-20369 | 101859 | Enzo Doria | 06/2013 |
9429 | 2^338366+74179 | 101859 | Enzo Doria | 04/2016 |
9422 | 2^338366+53853 | 101859 | Stefano Morozzi | 01/2022 |
9423 | 2^338365-31665 | 101859 | Stefano Morozzi | 03/2022 |
9424 | 2^338368-156345 | 101859 | Stefano Morozzi | 03/2022 |
9425 | 2^338366-159867 | 101859 | Stefano Morozzi | 04/2022 |
9426 | 2^338368-63509 | 101859 | Stefano Morozzi | 12/2022 |
9427 | 2^338365-190975 | 101859 | Stefano Morozzi | 01/2023 |
9430 | 2^338362-180845 | 101858 | Stefano Morozzi | 02/2022 |
9431 | 2^338364-155769 | 101858 | Stefano Morozzi | 02/2022 |
9432 | 2^338362+142843 | 101858 | Stefano Morozzi | 09/2022 |
9433 | 2^338362+170019 | 101858 | Stefano Morozzi | 11/2022 |
9434 | 2^338361-100875 | 101857 | Stefano Morozzi | 12/2021 |
9435 | 2^338361+154169 | 101857 | Stefano Morozzi | 01/2022 |
9436 | 2^338359-189645 | 101857 | Stefano Morozzi | 01/2023 |
9437 | 2^338356+101271 | 101856 | Stefano Morozzi | 12/2021 |
9438 | 2^338356+53383 | 101856 | Stefano Morozzi | 01/2022 |
9439 | 2^338355+59393 | 101856 | Stefano Morozzi | 03/2022 |
9440 | 2^338356+60775 | 101856 | Stefano Morozzi | 03/2022 |
9441 | 2^338356-106257 | 101856 | Stefano Morozzi | 03/2022 |
9442 | 2^338357-58921 | 101856 | Stefano Morozzi | 04/2022 |
9443 | 2^338356+94605 | 101856 | Stefano Morozzi | 09/2022 |
9444 | 2^338356+117813 | 101856 | Stefano Morozzi | 09/2022 |
9445 | 2^338358-38475 | 101856 | Stefano Morozzi | 12/2022 |
9446 | 2^338353-190291 | 101855 | Stefano Morozzi | 01/2023 |
9447 | 2^338350-152933 | 101854 | Stefano Morozzi | 01/2022 |
9448 | 2^338350+6337 | 101854 | Stefano Morozzi | 01/2022 |
9449 | 2^338350+168759 | 101854 | Stefano Morozzi | 09/2022 |
9452 | 27088^5755+5755^27088 | 101853 | Hans Havermann | 01/2019 |
9450 | 2^338347+125901 | 101853 | Stefano Morozzi | 11/2021 |
9451 | 2^338346-10643 | 101853 | Stefano Morozzi | 06/2022 |
9453 | 2^338343+152271 | 101852 | Stefano Morozzi | 12/2021 |
9454 | 2^338345+154107 | 101852 | Stefano Morozzi | 01/2022 |
9455 | 2^338342+155397 | 101852 | Stefano Morozzi | 01/2022 |
9456 | 2^338342-130767 | 101852 | Stefano Morozzi | 02/2022 |
9457 | 2^338345-30123 | 101852 | Stefano Morozzi | 02/2022 |
9458 | 2^338345+35747 | 101852 | Stefano Morozzi | 03/2022 |
9459 | 2^338345-133131 | 101852 | Stefano Morozzi | 04/2022 |
9460 | 2^338345-134559 | 101852 | Stefano Morozzi | 04/2022 |
9461 | 2^338342+170073 | 101852 | Stefano Morozzi | 11/2022 |
9462 | 2^338344+46567 | 101852 | Stefano Morozzi | 11/2022 |
9463 | 2^338344+97141 | 101852 | Stefano Morozzi | 11/2022 |
9464 | 2^338342-162213 | 101852 | Stefano Morozzi | 12/2022 |
9465 | 2^338339+2753 | 101851 | Stefano Morozzi | 12/2021 |
9466 | 2^338341+128415 | 101851 | Stefano Morozzi | 01/2022 |
9467 | 2^338338+2677 | 101850 | Stefano Morozzi | 12/2021 |
9468 | 2^338336+54607 | 101850 | Stefano Morozzi | 01/2022 |
9469 | 2^338338+109999 | 101850 | Stefano Morozzi | 03/2022 |
9470 | 2^338336+161575 | 101850 | Stefano Morozzi | 04/2022 |
9471 | 2^338335+51975 | 101849 | Stefano Morozzi | 12/2021 |
9472 | 2^338335-152607 | 101849 | Stefano Morozzi | 01/2022 |
9473 | 2^338334+55273 | 101849 | Stefano Morozzi | 01/2022 |
9474 | 2^338332+34315 | 101849 | Stefano Morozzi | 03/2022 |
9475 | 2^338335+158759 | 101849 | Stefano Morozzi | 03/2022 |
9476 | 2^338332+67621 | 101849 | Stefano Morozzi | 09/2022 |
9477 | 2^338332-66099 | 101849 | Stefano Morozzi | 01/2023 |
9478 | 2^338334-191043 | 101849 | Stefano Morozzi | 01/2023 |
9479 | 2^338331+83403 | 101848 | Stefano Morozzi | 02/2022 |
9480 | 2^338330-110865 | 101848 | Stefano Morozzi | 06/2022 |
9481 | 2^338330+71047 | 101848 | Stefano Morozzi | 11/2022 |
9482 | 2^338328-5295 | 101847 | Stefano Morozzi | 02/2022 |
9483 | 2^338327+143585 | 101847 | Stefano Morozzi | 09/2022 |
9484 | 2^338324-179667 | 101846 | Stefano Morozzi | 02/2022 |
9485 | 2^338322+21903 | 101846 | Stefano Morozzi | 11/2022 |
9486 | 2^338324+98047 | 101846 | Stefano Morozzi | 11/2022 |
9487 | 2^338323-87729 | 101846 | Stefano Morozzi | 12/2022 |
9488 | 2^338322-16667 | 101846 | Stefano Morozzi | 01/2023 |
9489 | 2^338325-142159 | 101846 | Stefano Morozzi | 02/2023 |
9490 | 2^338316-175857 | 101844 | Stefano Morozzi | 12/2021 |
9491 | 2^338318+54405 | 101844 | Stefano Morozzi | 01/2022 |
9492 | 2^338316+32961 | 101844 | Stefano Morozzi | 02/2022 |
9493 | 2^338317+68175 | 101844 | Stefano Morozzi | 09/2022 |
9494 | 2^338318-86171 | 101844 | Stefano Morozzi | 12/2022 |
9495 | 2^338315-178635 | 101843 | Stefano Morozzi | 01/2022 |
9496 | 2^338315+34899 | 101843 | Stefano Morozzi | 03/2022 |
9497 | 2^338314-106973 | 101843 | Stefano Morozzi | 03/2022 |
9498 | 2^338313+170411 | 101843 | Stefano Morozzi | 11/2022 |
9499 | 2^338315-88807 | 101843 | Stefano Morozzi | 12/2022 |
9500 | 2^338311-51799 | 101842 | Stefano Morozzi | 12/2021 |