PRP Records

Probable Primes Top 10000

(255244 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 ?
9252(10^(2*30232+1)+15*10^30232-1)/360465Robert Price04/2016
9251(2^200860+12006)/260465Stefano Morozzi10/2019
9258lucasV(1,2,401712)+260464Mike Oakes01/2017
9253(2^200855+183330)/260464Stefano Morozzi10/2019
9254(2^200856+145926)/260464Stefano Morozzi10/2019
9255(2^200857+187446)/260464Stefano Morozzi10/2019
9256(2^200856+26686)/260464Stefano Morozzi10/2019
9257(2^200857+43050)/260464Stefano Morozzi10/2019
9259(2^200852+140442)/260463Stefano Morozzi10/2019
9260(2^200854+99438)/260463Stefano Morozzi10/2019
9261(2^200852+25710)/260463Stefano Morozzi10/2019
9262(2^200853+35646)/260463Stefano Morozzi10/2019
9263(2^200848+134422)/260461Stefano Morozzi10/2019
9264(2^200845+22854)/260461Stefano Morozzi10/2019
9265(2^200844+88002)/260460Stefano Morozzi10/2019
9266(2^200844+142278)/260460Stefano Morozzi10/2019
9267(2^200844+157602)/260460Stefano Morozzi10/2019
9268(2^200843+44930)/260460Stefano Morozzi10/2019
9269(2^200844+35158)/260460Stefano Morozzi10/2019
9270(2^200841+177062)/260459Stefano Morozzi10/2019
9271(2^200838+7362)/260458Stefano Morozzi10/2019
92742^200833-1849360457Enzo Doria05/2013
9272(2^200832+478)/260457Stefano Morozzi10/2019
9273(2^200832+63726)/260457Stefano Morozzi10/2019
9275(2^200830+190854)/260456Stefano Morozzi10/2019
9276(2^200829+18854)/260456Stefano Morozzi10/2019
9277(2^200829+20682)/260456Stefano Morozzi10/2019
9278(2^200830+41398)/260456Stefano Morozzi10/2019
9279(2^200831+21726)/260456Stefano Morozzi10/2019
9280(2^200825+187670)/260455Stefano Morozzi10/2019
9281(2^200828+166870)/260455Stefano Morozzi10/2019
9282(2^200828+179050)/260455Stefano Morozzi10/2019
9283(2^200825+16722)/260455Stefano Morozzi10/2019
9284(2^200827+11238)/260455Stefano Morozzi10/2019
9285(2^200824+140862)/260454Stefano Morozzi10/2019
928720^46465-504360453Enzo Doria03/2013
9286(2^200819+107346)/260453Stefano Morozzi10/2019
9288(2^200816+138378)/260452Stefano Morozzi10/2019
9289(2^200816+196270)/260452Stefano Morozzi10/2019
9290(2^200818+177618)/260452Stefano Morozzi10/2019
9291(2^200818+46090)/260452Stefano Morozzi10/2019
9292(2^200812+198142)/260451Stefano Morozzi10/2019
9293(2^200813+99206)/260451Stefano Morozzi10/2019
9294(2^200814+161502)/260451Stefano Morozzi10/2019
92972^200810-1825760450Enzo Doria05/2013
9295(2^200809+195822)/260450Stefano Morozzi10/2019
9296(2^200811+60558)/260450Stefano Morozzi10/2019
9298(2^200806+91050)/260449Stefano Morozzi10/2019
9299(2^200807+149294)/260449Stefano Morozzi10/2019
930112127^14802-14802^1212760448Norbert Schneider06/2019
9300(2^200802+83470)/260448Stefano Morozzi10/2019
9302((2)^(2*100400-1)+(2)^(100400-1)+1)+2667260447Faysal YAtim04/2018
9303(2^200800+169950)/260447Stefano Morozzi10/2019
9304(2^200801+166454)/260447Stefano Morozzi10/2019
9305(2^200795+171938)/260446Stefano Morozzi10/2019
9306(2^200796+189498)/260446Stefano Morozzi10/2019
9307(2^200797+74370)/260446Stefano Morozzi10/2019
9308(2^200797+106446)/260446Stefano Morozzi10/2019
9309(2^200797+133602)/260446Stefano Morozzi10/2019
9310(2^200798+139210)/260446Stefano Morozzi10/2019
9311(2^200796+54798)/260446Stefano Morozzi10/2019
9312(2^200792+128458)/260445Stefano Morozzi10/2019
9313(2^200793+199770)/260445Stefano Morozzi10/2019
9314(2^200794+128094)/260445Stefano Morozzi10/2019
9315(2^200791+193370)/260444Stefano Morozzi10/2019
9316(2^200791+52494)/260444Stefano Morozzi10/2019
9317(2^200782+138454)/260442Stefano Morozzi10/2019
9318(2^200783+67638)/260442Stefano Morozzi10/2019
9319(2^200784+98022)/260442Stefano Morozzi10/2019
9320(2^200780+91042)/260441Stefano Morozzi10/2019
9321(2^200780+161706)/260441Stefano Morozzi10/2019
9322(2^200779+10014)/260441Stefano Morozzi10/2019
9323(2^200777+94806)/260440Stefano Morozzi10/2019
9324(2^200778+146710)/260440Stefano Morozzi10/2019
9325(2^200776+16002)/260440Stefano Morozzi10/2019
9326(2^200777+21686)/260440Stefano Morozzi10/2019
9327(2^200772+132802)/260439Stefano Morozzi10/2019
9328(2^200773+120390)/260439Stefano Morozzi10/2019
93305^86466-1433660438Enzo Doria02/2013
9329(2^200771+117290)/260438Stefano Morozzi10/2019
9331(2^200768+163086)/260437Stefano Morozzi10/2019
9332(2^200763+185526)/260436Stefano Morozzi10/2019
9333(2^200765+191186)/260436Stefano Morozzi10/2019
9334(2^200764+11362)/260436Stefano Morozzi10/2019
9335(2^200764+26466)/260436Stefano Morozzi10/2019
9336(2^200760+85690)/260435Stefano Morozzi10/2019
9337(2^200760+138250)/260435Stefano Morozzi10/2019
9338(2^200760+169338)/260435Stefano Morozzi10/2019
9339(2^200760+180082)/260435Stefano Morozzi10/2019
9340(2^200759+11078)/260435Stefano Morozzi10/2019
9341(2^200759+22586)/260435Stefano Morozzi10/2019
9342(2^200757+176954)/260434Stefano Morozzi10/2019
9343(2^200757+62126)/260434Stefano Morozzi10/2019
9344(2^200755+180870)/260433Stefano Morozzi10/2019
9345(2^200753+55494)/260433Stefano Morozzi10/2019
9348Phi(145558,10)/103928413/161714939/14779231531/36075385837/24241141985360432Maksym Voznyy10/2011
9346(2^200749+87942)/260432Stefano Morozzi10/2019
9347(2^200751+55794)/260432Stefano Morozzi10/2019
9349(2^200747+119306)/260431Stefano Morozzi10/2019
9350(2^200748+113130)/260431Stefano Morozzi10/2019
9351(2^200743+149670)/260430Stefano Morozzi10/2019
9352(2^200745+147374)/260430Stefano Morozzi10/2019
9353(2^200745+173706)/260430Stefano Morozzi10/2019
9354(2^200743+20418)/260430Stefano Morozzi10/2019
9355(2^200740+89082)/260429Stefano Morozzi10/2019
9356(2^200741+67682)/260429Stefano Morozzi10/2019
9357(2^200741+139502)/260429Stefano Morozzi10/2019
9358(2^200736+113526)/260428Stefano Morozzi10/2019
9359(2^200736+192378)/260428Stefano Morozzi10/2019
9360(2^200736+4506)/260428Stefano Morozzi10/2019
9361(2^200738+31554)/260428Stefano Morozzi10/2019
9362(2^200732+88558)/260427Stefano Morozzi10/2019
9363(2^200733+128622)/260427Stefano Morozzi10/2019
9364(2^200729+127062)/260426Stefano Morozzi10/2019
9365(2^200729+166566)/260426Stefano Morozzi10/2019
9366(2^200730+166558)/260426Stefano Morozzi10/2019
9367(2^200727+199734)/260425Stefano Morozzi10/2019
9368(2^200723+155658)/260424Stefano Morozzi10/2019
9369(2^200724+142042)/260424Stefano Morozzi10/2019
9370(2^200724+31318)/260424Stefano Morozzi10/2019
9371(2^200721+89390)/260423Stefano Morozzi10/2019
9372(2^200717+110042)/260422Stefano Morozzi10/2019
9373(2^200718+116110)/260422Stefano Morozzi10/2019
937615397^8398+8398^1539760421Hans Havermann06/2019
9374(2^200713+132590)/260421Stefano Morozzi10/2019
9375(2^200714+136618)/260421Stefano Morozzi10/2019
9377(2^200709+90654)/260420Stefano Morozzi10/2019
9378(2^200710+192790)/260420Stefano Morozzi10/2019
9379(2^200711+188990)/260420Stefano Morozzi10/2019
9380(2^200708+114906)/260419Stefano Morozzi10/2019
9381(2^200706+33250)/260419Stefano Morozzi10/2019
9382(2^200702+112470)/260418Stefano Morozzi10/2019
9383(2^200703+139514)/260418Stefano Morozzi10/2019
9384(2^200704+146038)/260418Stefano Morozzi10/2019
9385(2^200703+5570)/260418Stefano Morozzi10/2019
9389(29*2^200703-1)/23160417Lelio R Paula01/2014
9386(2^200699+178686)/260417Stefano Morozzi10/2019
9387(2^200700+138978)/260417Stefano Morozzi10/2019
9388(2^200700+18502)/260417Stefano Morozzi10/2019
9390(2^200696+138210)/260416Stefano Morozzi10/2019
9391(2^200697+5342)/260416Stefano Morozzi10/2019
9392(2^200693+173846)/260415Stefano Morozzi10/2019
9393(2^200694+127354)/260415Stefano Morozzi10/2019
9394(2^200692+54978)/260415Stefano Morozzi10/2019
9395(2^200693+52322)/260415Stefano Morozzi10/2019
9396(2^200695+30926)/260415Stefano Morozzi10/2019
9397(2^200695+47054)/260415Stefano Morozzi10/2019
9398(2^200689+104954)/260414Stefano Morozzi10/2019
9399(2^200689+129854)/260414Stefano Morozzi10/2019
9400(2^200691+72306)/260414Stefano Morozzi10/2019
94042^200682-101683160412Paul Bourdelais11/2012
9401(2^200682+178090)/260412Stefano Morozzi10/2019
9402(2^200685+76014)/260412Stefano Morozzi10/2019
9403(2^200684+49786)/260412Stefano Morozzi10/2019
9405(2^200680+104806)/260411Stefano Morozzi10/2019
9406(2^200676+113206)/260410Stefano Morozzi10/2019
9407(2^200675+172346)/260409Stefano Morozzi10/2019
9408(2^200675+8850)/260409Stefano Morozzi10/2019
9409(2^200675+20810)/260409Stefano Morozzi10/2019
9410(2^200669+67902)/260408Stefano Morozzi10/2019
9411(2^200669+82814)/260408Stefano Morozzi10/2019
9412(2^200671+89586)/260408Stefano Morozzi10/2019
9413(2^200669+33410)/260408Stefano Morozzi10/2019
9414(2^200670+26050)/260408Stefano Morozzi10/2019
9415(2^200667+42974)/260407Stefano Morozzi10/2019
9416(2^200664+66018)/260406Stefano Morozzi10/2019
9417(2^200664+141066)/260406Stefano Morozzi10/2019
9418(2^200664+150846)/260406Stefano Morozzi10/2019
9419(2^200665+114614)/260406Stefano Morozzi10/2019
9420(2^200663+31950)/260406Stefano Morozzi10/2019
9421(2^200660+191662)/260405Stefano Morozzi10/2019
9422(2^200661+193166)/260405Stefano Morozzi10/2019
9423(2^200656+90666)/260404Stefano Morozzi10/2019
9424(2^200656+170130)/260404Stefano Morozzi10/2019
9425(2^200656+43558)/260404Stefano Morozzi10/2019
9426(2^200655+148514)/260403Stefano Morozzi10/2019
9427(2^200654+32074)/260403Stefano Morozzi10/2019
9428(2^200654+56230)/260403Stefano Morozzi10/2019
9429(2^200649+115470)/260402Stefano Morozzi10/2019
9430(2^200651+195038)/260402Stefano Morozzi10/2019
9431(2^200651+23606)/260402Stefano Morozzi10/2019
9432(2^200646+46230)/260401Stefano Morozzi10/2019
9433(2^200645+195854)/260400Stefano Morozzi10/2019
9434(2^200640+199162)/260399Stefano Morozzi10/2019
9435(2^200642+164782)/260399Stefano Morozzi10/2019
9436(2^200636+81790)/260398Stefano Morozzi10/2019
9437(2^200638+121362)/260398Stefano Morozzi10/2019
9438(2^200634+166842)/260397Stefano Morozzi10/2019
9439(2^200629+131790)/260396Stefano Morozzi10/2019
9440(2^200630+132438)/260396Stefano Morozzi10/2019
9441(2^200632+134346)/260396Stefano Morozzi10/2019
9442(2^200626+130402)/260395Stefano Morozzi10/2019
9443(2^200627+55578)/260395Stefano Morozzi10/2019
9444(2^200624+115962)/260394Stefano Morozzi10/2019
9445(2^200625+165266)/260394Stefano Morozzi10/2019
9446(2^200624+33826)/260394Stefano Morozzi10/2019
9447(2^200625+18810)/260394Stefano Morozzi10/2019
94522^200617-1788160392Enzo Doria05/2013
9448(2^200616+146718)/260392Stefano Morozzi10/2019
9449(2^200618+66138)/260392Stefano Morozzi10/2019
9450(2^200618+69634)/260392Stefano Morozzi10/2019
9451(2^200618+136422)/260392Stefano Morozzi10/2019
9453(25^43201+1)/2660391Robert Price06/2013
9454(2^200614+77154)/260391Stefano Morozzi10/2019
9455(2^200614+14574)/260391Stefano Morozzi10/2019
9456(2^200614+24070)/260391Stefano Morozzi10/2019
9457(2^200615+28538)/260391Stefano Morozzi10/2019
94622^200609-13360390Lelio R Paula08/2011
94612^200608-1283760390Enzo Doria10/2012
9458(2^200610+151870)/260390Stefano Morozzi10/2019
9459(2^200611+171678)/260390Stefano Morozzi10/2019
9460(2^200612+107310)/260390Stefano Morozzi10/2019
94632^200607-1712160389Enzo Doria05/2013
9464(2^200606+63702)/260389Stefano Morozzi10/2019
9465(2^200603+175230)/260388Stefano Morozzi10/2019
9466(2^200604+9046)/260388Stefano Morozzi10/2019
9467(2^200599+172106)/260387Stefano Morozzi10/2019
9468(2^200602+102630)/260387Stefano Morozzi10/2019
9469(2^200596+106198)/260386Stefano Morozzi10/2019
9470(2^200598+125890)/260386Stefano Morozzi10/2019
9471(2^200598+49978)/260386Stefano Morozzi10/2019
9472(2^200593+10482)/260385Stefano Morozzi10/2019
9473(2^200593+49046)/260385Stefano Morozzi10/2019
9474(2^200589+105050)/260384Stefano Morozzi10/2019
9475(2^200591+73190)/260384Stefano Morozzi10/2019
9476(2^200591+120038)/260384Stefano Morozzi10/2019
9477(2^200590+16198)/260384Stefano Morozzi10/2019
9478(2^200586+160498)/260383Stefano Morozzi10/2019
9479(2^200587+66194)/260383Stefano Morozzi10/2019
9480(2^200588+119386)/260383Stefano Morozzi10/2019
9481(2^200588+139330)/260383Stefano Morozzi10/2019
9482(2^200586+30534)/260383Stefano Morozzi10/2019
9483(2^200580+175906)/260381Stefano Morozzi10/2019
9484(2^200581+83462)/260381Stefano Morozzi10/2019
9485(2^200581+124334)/260381Stefano Morozzi10/2019
9486(2^200576+85546)/260380Stefano Morozzi10/2019
9487(2^200577+134814)/260380Stefano Morozzi10/2019
9488(2^200575+93606)/260379Stefano Morozzi10/2019
9489(2^200571+18378)/260378Stefano Morozzi10/2019
9490(2^200571+40274)/260378Stefano Morozzi10/2019
9491(2^200571+42026)/260378Stefano Morozzi10/2019
9492(2^200572+4662)/260378Stefano Morozzi10/2019
9493(2^200572+45906)/260378Stefano Morozzi10/2019
9494(2^200566+78618)/260377Stefano Morozzi10/2019
9495(2^200566+165022)/260377Stefano Morozzi10/2019
9496(2^200568+134290)/260377Stefano Morozzi10/2019
9497(2^200569+123594)/260377Stefano Morozzi10/2019
9498(2^200569+147650)/260377Stefano Morozzi10/2019
9499(2^200566+44262)/260377Stefano Morozzi10/2019
950011^57975-162060375Enzo Doria11/2012


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: November, 10 2019 12:07 (Time in France)

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