PRP Records

Probable Primes Top 10000

(218736 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 (> 30000) Who ? When ?
3751(55459*2^319706+1)/2016796242Lelio R Paula07/2014
375212^89153-4396213Lelio R Paula06/2016
3753(2*10^96195-59)/396195Robert Price05/2017
37542^319545+14796193Lelio R Paula11/2012
3755(50^56597+1)/5196155Robert Price03/2014
3756(41*10^96137-59)/996138Robert Price10/2017
37572^319353-11034396135Enzo Doria05/2014
375811^92309-4296130Lelio R Paula05/2016
375914^83869-13^8386996125Jean-Louis Charton01/2009
3760(7*10^96112+143)/396113Robert Price04/2016
37612^319237+6583596100Lelio R Paula03/2016
37622^319194-184196087Yves Minet03/2013
376320^73847-3196078Lelio R Paula05/2016
37642^319107-10955596061Enzo Doria04/2014
3765(3*2^319114-1)/262796060Lelio R Paula02/2014
37662^319098-11215796059Enzo Doria06/2014
376715^81673+9496055Lelio R Paula07/2016
37682^319074+187174996051Enzo Doria05/2016
37692^319007-11211196031Enzo Doria06/2014
37702^318946-142196013Yves Minet01/2013
37712^318834-11041195979Enzo Doria05/2014
37722^318831-196595978Lelio R Paula03/2016
3773(5*10^95976+7)/395977Erik Branger03/2014
37745*3^201089-895945Lelio R Paula08/2014
37752^318711-13995942Lelio R Paula11/2012
37762^318635-116795919Lelio R Paula03/2016
377715^81555+1695917Lelio R Paula07/2016
3778(37*10^95895+377)/995896Robert Price10/2017
3779(22699*2^318527+1)/2195890Lelio R Paula07/2014
37802^318496-9730595877Lelio R Paula03/2016
37812^318466+1501595868Lelio R Paula03/2016
37826^123187-17312995859Mike Oakes04/2011
37832^318423-48795855Yves Minet03/2012
3784(10223*2^318350+1)/156395834Lelio R Paula07/2014
378545369!2+102495787Robert Price02/2015
37863^200758-8695786Lelio R Paula05/2016
37873*10^95776-5995777Robert Price10/2017
3788193^41901-295768Lelio R Paula10/2017
37894*10^95752-7195753Robert Price11/2017
3790(509203*2^317881-1)/5280595693Lelio R Paula04/2015
37914*10^95672+9195673Robert Price11/2017
3792(11*10^95641-113)/395642Robert Price01/2017
3793(13*10^95588+11)/395589Robert Price05/2015
3794Phi(191188,10)/19118995587Maksym Voznyy11/2015
37953^200325+7095580Lelio R Paula05/2016
3796(25*10^95574-7)/995575Robert Price12/2014
3797(2^317485-3)/2131395569Lelio R Paula06/2013
37982^317464+3195567Lelio R Paula11/2012
37997^113073+8295558Lelio R Paula04/2016
38002^317251+46595503Lelio R Paula03/2016
380119^74684+5895503Lelio R Paula06/2016
3802(2^317250-7)/33995500Lelio R Paula07/2013
38036^122718-7995494Lelio R Paula05/2016
38042^317141-11049195469Enzo Doria05/2014
38052^317094+7630995455Enzo Doria05/2016
38062^317085+9595453Lelio R Paula11/2012
3807(17*10^95451-377)/995452Robert Price11/2017
38082^317057-10955195444Enzo Doria04/2014
38093^200026+2895437Lelio R Paula05/2016
38102^317024+9395434Donovan Johnson06/2008
38112^316999+160595427Lelio R Paula03/2016
38122^316995-11042795426Enzo Doria05/2014
38132^316937+17795408Lelio R Paula11/2012
38144*10^95407+9195408Robert Price11/2017
38152^316908+191595399Lelio R Paula03/2016
38162^316894+9995395Lelio R Paula11/2012
38176^122547+1195361Lelio R Paula05/2016
38182^316771+8287595358Lelio R Paula03/2016
3820(23*10^95326+1)/395327Serge Batalov05/2009
38191*10^95326+5795327Robert Price03/2011
382110^95326-39368795326Patrick De Geest09/2013
3822(3^199803+4)/47953995325Lelio R Paula04/2013
38232^316654-10948195323Enzo Doria04/2014
38248*10^95316+5195317Robert Price05/2017
3825(50^56099+43^56099)/9395309Serge Batalov12/2016
3826(23*2^316559+1)/392595292Lelio R Paula09/2013
3827(71*10^95277-539)/995278Robert Price11/2017
382819^74503-5695271Lelio R Paula06/2016
382911^91475-438095262Enzo Doria01/2013
3830(62*10^95251-611)/995252Robert Price05/2017
3831(2^316321-509203)/6937795218Lelio R Paula06/2013
3832(79*10^95214-43)/995215Erik Branger11/2013
3833(9*2^316233-1)/175195194Lelio R Paula02/2014
38345*2^316213+995191Lelio R Paula08/2014
38352^316205-184816395188Enzo Doria07/2015
38362^316185-278791395182Enzo Doria04/2016
3837(9787*2^316142-1)/395172Lelio R Paula04/2015
38382^316140-595168Henri Lifchitz02/2006
3839(15185*2^316117-1)/395165Lelio R Paula04/2015
3840(34*10^95153-7)/9/19/1915795149Makoto Morimoto05/2016
38412^316069+7681795147Enzo Doria05/2016
3842(199*10^95134-7)/395136Robert Price02/2017
38432^316027-9730595134Lelio R Paula03/2016
38442^316006-279805195128Enzo Doria04/2016
38452^315921-279760395102Enzo Doria04/2016
38462*10^95095+6395096Robert Price10/2017
38472^315857+129995083Lelio R Paula03/2016
384814^82955-4395078Lelio R Paula06/2016
3849(2*10^95072-17)/395072Robert Price08/2014
38502^315727+6595044Lelio R Paula11/2012
38512^315725+188575795043Enzo Doria03/2017
38521*10^94983+2194984Robert Price03/2011
385310^94983-71794983Patrick De Geest08/2013
385417^77187-8294975Lelio R Paula07/2016
38553*10^94964+3794965Robert Price10/2017
3856(2^315481-1017)/2062728594962Lelio R Paula06/2013
38572^315423-11032994952Enzo Doria05/2014
385811^91169-723094943Enzo Doria02/2013
38597*10^94938+6194939Robert Price02/2017
38602^315351+102594931Lelio R Paula03/2016
38612^315350-11225394930Enzo Doria06/2014
3863((1001327^(15817)+1)/1001328)94906Faysal YAtim10/2010
38622^315268+794906Lelio R Paula10/2012
386411^91133+6294906Lelio R Paula05/2016
386530^64244+4194897Lelio R Paula08/2012
3866(151*10^94885-7)/994887Robert Price07/2017
38674^157583+2214794875Mike Oakes01/2011
38682^315098+12394854Lelio R Paula11/2012
38693^198791-3494848Robert Price11/2013
38703*2^315067+794846Lelio R Paula08/2014
3871(9*2^315057+1)/7394841Lelio R Paula09/2013
3872(16*10^94822+53)/394823Robert Price12/2016
38738*6^121849-794818Lelio R Paula10/2014
3874(85*10^94802+473)/994803Robert Price03/2017
38752^314870-10876194786Enzo Doria03/2014
38765*2^314841-394778Lelio R Paula08/2014
38776^121772+11394758Lelio R Paula05/2016
38786^121756-1625394745Enzo Doria02/2013
38792^314718-11279394740Enzo Doria06/2014
38802^314697-184729394734Enzo Doria07/2015
38812^314548-24994689Yves Minet02/2012
38825^135469+4294689Lelio R Paula04/2016
3883gcd(V(1137755),5*F(227551)*(F(227551)-1)+1)94676Serge Batalov04/2015
3884(2*10^94604+547)/994604Robert Price10/2017
38853*2^314152+594570Lelio R Paula08/2014
38862*6^121530-594570Lelio R Paula10/2014
38877*10^94563+8794564Robert Price11/2016
38882^314114-10967794558Enzo Doria04/2014
3889(218389#+240867)/(3*11*811)94557Makoto Morimoto10/2017
38902^314059+7658394542Enzo Doria05/2016
38912^314041-403594536Lelio R Paula03/2016
3892(7*2^314003-11)/1594524Renaud Lifchitz03/2011
389311^90760-471094517Enzo Doria01/2013
3894(7*2^313926-1)/14882194497Lelio R Paula02/2014
389594*10^94493-394495Robert Price11/2016
3896(1000547^15749+1)/100054894492Faysal YAtim12/2008
3897(F(3*75345)^2+L(3*75345)^2)/494477Henri Lifchitz10/2017
38987^111792-3294476Lelio R Paula04/2016
389911^90680-585094434Enzo Doria01/2013
39002^313675-11012594426Enzo Doria04/2014
3901(2999*29^64556-2427)/494410Curtis Bright05/2015
39022^313609-11222594406Enzo Doria06/2014
39032^313584+7290194399Enzo Doria04/2016
39042^313510-11286594376Enzo Doria06/2014
39057*10^94373+8794374Robert Price11/2016
3906(9^98897+8^98897)/1794371Robert Price12/2012
39072^313453-11470394359Enzo Doria04/2015
39088*10^94357-5194358Robert Price10/2017
3909(379*10^94337-1)/994339Robert Price08/2017
39102^313344-313344+194326Robert Price10/2014
391120^72481-4994300Lelio R Paula05/2016
391244725!2+12894289Robert Price03/2015
39134*10^94286+994287Robert Price05/2015
391417^76621+2494279Lelio R Paula07/2016
39152^313156-11285994270Enzo Doria06/2014
39166^121130-5994258Lelio R Paula05/2016
39173^197542+2894252Robert Price11/2013
3918(3^197521+2)/5165594237Lelio R Paula04/2013
39192^313045-595594236Lelio R Paula03/2016
3920(67*10^94212+23)/994213Ray Chandler02/2011
39212^312909-186520394195Enzo Doria03/2016
39222^312848-14994177Lelio R Paula11/2012
39234^156403-7759794164Mike Oakes04/2011
392418^75004-8594151Lelio R Paula06/2016
392519^73622-4894145Lelio R Paula06/2016
3926(11^90397-3^90397)/894138Robert Price04/2011
3927(3^197287+5)/1694129Lelio R Paula04/2013
392812^87212-3794118Lelio R Paula06/2016
392911^90376+7694117Lelio R Paula05/2016
3930(6^120946-11)/594114Paul Bourdelais11/2011
3931(10^94096+191)/394096Robert Price11/2017
39322^312562-11268594091Enzo Doria06/2014
3933137^44026-294072Lelio R Paula10/2017
39342^312404-86968810594043Lelio R Paula09/2016
39352^312387+279353394038Enzo Doria03/2016
393610^94016+9194017Robert Price04/2011
3937(15*2^312325-1)/720194017Lelio R Paula02/2014
393910^94016-18896394016Patrick De Geest08/2013
3938(17*2^312315-1)/4594016Lelio R Paula02/2014
39406^120802+766194003Mike Oakes04/2011
3941(67607*2^312254+1)/17794001Lelio R Paula06/2014
3942(11*2^312207+1)/1993984Lelio R Paula09/2013
39432^312201+5193982Lelio R Paula11/2012
3944(4*6^120749+1)/593961Serge Batalov10/2014
39453^196892+5893942Lelio R Paula05/2016
39462^312060+1891593940Lelio R Paula03/2016
39472^311992-1620993919Enzo Doria04/2013
3948(85^48677+1)/8693917Paul Bourdelais08/2017
39492^311965-3993911Lelio R Paula11/2012
39502^311920-11168993898Enzo Doria05/2014
39517*10^93887-4793888Robert Price02/2017
395212^86965-1393851Lelio R Paula06/2016
39532^311705+1609593833Lelio R Paula03/2016
39542^311665-8193821Lelio R Paula11/2012
3955730^32761+32761^73093806Norbert Schneider09/2017
395611^90073+9293802Lelio R Paula05/2016
39576*10^93792+4193793Robert Price01/2017
3958(2^311580+7)/59132993790Lelio R Paula06/2013
395912^86900-7793781Lelio R Paula06/2016
39602^311508-10976993774Enzo Doria04/2014
39612^311486-185962193767Enzo Doria03/2016
3962Phi(93811,10)/968129521/2109997013/3280113810431/63963778254583193765Kurt Beschorner04/2015
39632^311471+31146993763Renaud Lifchitz01/2003
3964(88*10^93760-1)/393762Robert Price10/2017
39652^311426+7945993749Enzo Doria06/2016
39662^311294+577593709Lelio R Paula03/2016
39672^311252-101793697Lelio R Paula03/2016
39682^311247-11204193695Enzo Doria06/2014
39697*10^93692-8393693Robert Price09/2017
39702^311205-10964593683Enzo Doria04/2014
39715^134027-8493681Lelio R Paula04/2016
3972(2^311148-1017)/55793663Lelio R Paula06/2013
3973(2^311027-2^155514+1)/59362811/2006
39743^196192-2893608Robert Price12/2013
3975216091#+26143393606Makoto Morimoto12/2015
39765^133917+6893604Lelio R Paula04/2016
39772^310924-170993598Yves Minet03/2013
3978(266*10^93577-11)/393579Robert Price09/2016
3979(16*10^93577+161)/393578Robert Price05/2016
39803^196113-5693570Lelio R Paula04/2016
39812^310806-11034593562Enzo Doria05/2014
39823^196093+8693561Lelio R Paula04/2016
39832^310780-232793555Yves Minet10/2013
398430^63332+4193550Lelio R Paula08/2012
3985(21181*2^310707+1)/2193536Lelio R Paula06/2014
39868*5^133807+793528Lelio R Paula10/2014
39872^310686+819393526Lelio R Paula03/2016
39882^310646+6393514Lelio R Paula11/2012
3989(77*10^93508+31)/993509Robert Price10/2015
3990(1000907^15583+1)/100090893499Faysal YAtim04/2009
3991(2*10^93497+7)/993497Erik Branger03/2011
39923^195958-11285293496Enzo Doria07/2014
39932^310583+1638593495Lelio R Paula03/2016
3994(9913*2^310557-1)/3593490Lelio R Paula04/2015
39959*7^110614+293481Lelio R Paula11/2014
39962^310469-829593461Lelio R Paula03/2016
39972^310459-115993458Yves Minet11/2012
39986^120075-9593437Lelio R Paula05/2016
39992^310289+9832793407Yves Minet11/2010
40002^310217-11314393385Enzo Doria07/2014


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: August, 14 2018 21:45 (Time in France)

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