PRP Records

Probable Primes Top 10000

(211563 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 ?
3501(71*10^98446+1)/998447Serge Batalov11/2010
350213^88363+9498432Lelio R Paula08/2016
350348^58543-47^5854398425Jean-Louis Charton11/2005
35046^126481+4198422Lelio R Paula08/2016
350578*10^98413-798415Robert Price05/2017
35067^116416+4698383Lelio R Paula08/2016
35077^116407-2498376Lelio R Paula07/2016
35092^326782-186067198372Enzo Doria03/2016
350817^79948+5898372Lelio R Paula08/2016
35103^206143-9898356Lelio R Paula08/2016
35118*5^140705+798350Lelio R Paula11/2014
35122^326585+1198312Lelio R Paula12/2012
35132^326582-45916198311Enzo Doria05/2015
3514(2^326548+9)/598301Lelio R Paula10/2013
35152^326538+7165998298Enzo Doria04/2016
351615^83575-5898292Lelio R Paula08/2016
351710^98288+398289Robert Price03/2011
351810^98288-11701798288Patrick De Geest11/2011
3519(44*10^98284-719)/998285Robert Price12/2017
35202^326421-279757398263Enzo Doria04/2016
35212^326401+1609598257Lelio R Paula07/2016
35227^116240-116240^798235Norbert Schneider05/2017
352317^79826-7898222Lelio R Paula08/2016
35242^326268-80998217Yves Minet04/2011
3525(418*10^98199+23)/998201Robert Price08/2017
352612*10^98198-798200Robert Price11/2017
352715^83496-7698199Lelio R Paula08/2016
3528(10223*2^326179+1)/612598190Lelio R Paula07/2014
35299*5^140471-498186Lelio R Paula11/2014
35302^326069-238398157Yves Minet10/2013
35312^325973+118598128Lelio R Paula07/2016
3532(25*2^325949-1)/1798121Lelio R Paula02/2014
35332^325945-184726998120Enzo Doria07/2015
35348*10^98111-6798112Robert Price10/2017
35352^325866+1598096Lelio R Paula12/2012
35362^325765+197430598066Enzo Doria06/2016
35372^325733-5869598056Lelio R Paula07/2016
35382^325717-364598051Lelio R Paula07/2016
3539(23*2^325583-1)/2198011Lelio R Paula02/2014
3540(7*10^98007-13)/398008Robert Price06/2016
35412^325512-45995997989Enzo Doria05/2015
3542(3^205354-8)/1797978Lelio R Paula09/2013
35432^325433+7681797966Enzo Doria05/2016
35445*10^97963+8197964Robert Price08/2017
35452^325390-10906197953Enzo Doria04/2014
354613^87921+2497940Lelio R Paula08/2016
3547961^32831-960^3283197926Jean-Louis Charton02/2011
35482^325215+1290997900Lelio R Paula07/2016
35497*10^97874-6997875Robert Price01/2017
3551(17^79537+5^79537)/2297865Robert Price06/2013
355015^83212+2297865Lelio R Paula08/2016
35522^325087-10905797861Enzo Doria04/2014
35532^325074+187065797858Enzo Doria05/2016
35552^325066-211197855Yves Minet08/2013
3554CopelandErdos(97855)97855Eric W. Weisstein10/2015
355618^77944-8997841Lelio R Paula07/2016
35576^125720-1766397830Enzo Doria02/2013
35582^324972-206997827Yves Minet05/2013
35592^324944-278831997818Enzo Doria03/2016
35614*10^97799-997800Erik Branger11/2013
35602^324882+57729457597800Lelio R Paula09/2016
35622^324863-186792197794Enzo Doria04/2016
35636^125662-1847397785Enzo Doria03/2013
356412^90604+1197779Lelio R Paula07/2016
35655^139830+2497737Lelio R Paula04/2016
35662^324612+115597718Lelio R Paula07/2016
356719^76404-4497702Lelio R Paula07/2016
35682^324505-298397686Yves Minet04/2011
3569(31*2^324496-1)/4597683Lelio R Paula02/2014
35706^125488-1784397649Enzo Doria02/2013
35717^115515-297622Lelio R Paula09/2013
3572(89^50069-1)/8897603Paul Bourdelais08/2017
35736^125418-597595Lelio R Paula11/2014
35742^324076+115597557Lelio R Paula07/2016
3575(2^324074+9)/1397555Lelio R Paula10/2013
3576(55459*2^323993+1)/2197536Lelio R Paula07/2014
357713^87557-12^8755797534Jean-Louis Charton12/2008
35782^323946+7393997518Enzo Doria04/2016
35792^323937+186694797515Enzo Doria03/2016
35806^125290-1853397495Enzo Doria03/2013
35812^323845+10197488Lelio R Paula12/2012
358218^77662+6597487Lelio R Paula07/2016
35832^323772+7677197466Enzo Doria05/2016
35842^323765-11221397463Enzo Doria06/2014
35852^323720-655597450Lelio R Paula07/2016
35862^323694-186040197442Enzo Doria03/2016
358720^74886+397429Lelio R Paula06/2016
35893*10^97399+7397400Robert Price04/2016
35887^115252-5097400Lelio R Paula07/2016
3590224737#+39358197389Nicolas PALAU12/2016
3591(26*10^97353+31)/397354Robert Price07/2016
359261^54517-60^5451797331Jean-Louis Charton09/2005
3593(38*10^97329+187)/997330Robert Price11/2017
3594p(19982)#/2-102497293Robert Price09/2017
35956^125021-8597286Lelio R Paula08/2016
35962^323164-4735597283Lelio R Paula07/2016
3597(3^203902+4)/3605101515797276Lelio R Paula09/2013
35982^323054-655597249Lelio R Paula07/2016
35999*10^97247-2997248Robert Price05/2017
3600(31*10^97242+41)/997243Robert Price04/2015
3601GoldenRatioPrime[97241]97241Eric W. Weisstein06/2009
360212^90098-4197233Lelio R Paula07/2016
36032^322928-21692997212Enzo Doria05/2014
3604(7*2^322896-1)/5797201Lelio R Paula02/2014
3605(2^322897+5)/314610748997193Lelio R Paula10/2013
36062^322725+7576197150Enzo Doria04/2016
3607(13*2^322686+1)/11997138Lelio R Paula11/2013
3608(41*10^97085+373)/997086Robert Price04/2017
36092^322413+7797056Lelio R Paula12/2012
36102^322406+17797054Lelio R Paula12/2012
3611(14*10^97044+31)/997045Robert Price02/2015
36122^322302+25525597023Lelio R Paula07/2016
36132^322196-11309396991Enzo Doria07/2014
36142^322000-186146996932Enzo Doria03/2016
36152^321971-11274796923Enzo Doria06/2014
361611^93062-9296915Lelio R Paula06/2016
3617(11*2^321841-7)/1596884Renaud Lifchitz03/2011
36183^203051+3496880Lelio R Paula05/2016
36192*10^96867-5196868Robert Price11/2017
3620(64*10^96863-1)/2796864Serge Batalov05/2010
36212^321716-278693996847Enzo Doria03/2016
36232^321701-11305396842Enzo Doria07/2014
36222^321700-2863596842Lelio R Paula06/2016
3624(5*2^321691-1)/2796838Lelio R Paula02/2014
36256^124433-12443396828Robert Price01/2014
36262^321631+6996821Lelio R Paula12/2012
3627(13*2^321606+1)/11996813Lelio R Paula11/2013
3628(46*10^96798-1)/996799Serge Batalov10/2014
3629(59*10^96798+31)/996799Robert Price09/2015
3630223319#+23122396790Makoto Morimoto02/2016
36312^321519-2863596787Lelio R Paula06/2016
36322^321487-186723796778Enzo Doria03/2016
36332^321461-6396770Lelio R Paula12/2012
36342^321439+12396763Lelio R Paula12/2012
36352^321434+70996762Lelio R Paula02/2013
363614^84413+8996749Lelio R Paula07/2016
3637(28*10^96743+71)/996744Serge Batalov12/2008
363813^86847+9696743Lelio R Paula06/2016
36399*2^321336-796733Lelio R Paula08/2014
3640(209*10^96722-17)/396724Robert Price05/2017
36412^321187-115996687Yves Minet11/2012
36422^321182-185008196686Enzo Doria08/2015
36432^321116-11282996666Enzo Doria06/2014
36442^321108-10949996664Enzo Doria04/2014
36452^321098+279385996661Enzo Doria03/2016
36462^321057+409796648Lelio R Paula06/2016
3647(4435*29^66081-4)/796640Curtis Bright05/2015
3648p(19849)#/2-6496581Robert Price04/2017
36492^320817+18996576Lelio R Paula12/2012
3650(361*10^96567-163)/996569Robert Price10/2017
36512^320788-11032796567Enzo Doria05/2014
36522^320764+79396560Lelio R Paula02/2013
3653(9179*2^320652-1)/22196528Lelio R Paula05/2015
36542^320616-7879596516Lelio R Paula03/2016
36552^320612-46193996514Enzo Doria07/2015
36565*2^320431+796461Lelio R Paula08/2014
365719^75431-9096458Lelio R Paula06/2016
3658(2^320370+3)/6796440Lelio R Paula10/2013
36592^320309+187147796423Enzo Doria05/2016
3660tau(809^6028)96410Nik Lygeros / Olivier Rozier / LR team10/2013
3661(21*2^320252-1)/189596404Lelio R Paula02/2014
36622^320232-17396400Lelio R Paula12/2012
3663175^42975-296395Lelio R Paula10/2017
366410^96377+19991196378Patrick De Geest12/2016
366510^96377-2000196377Robert Price11/2016
36662^320124-279044996367Enzo Doria03/2016
36672^320043-10877596343Enzo Doria04/2014
366810^96338+42493996339Patrick De Geest03/2016
366910^96338-928196338Robert Price09/2015
3670(3*2^320008+1)/796332Lelio R Paula09/2013
36712^319838+425796281Lelio R Paula03/2016
36722^319830-1699596279Lelio R Paula03/2016
36736^123713+14396268Lelio R Paula05/2016
3674(28*10^96265-97)/396266Robert Price07/2016
3675103^47825-10296264Norbert Schneider10/2016
36762^319713-8196244Lelio R Paula11/2012
3677(55459*2^319706+1)/2016796242Lelio R Paula07/2014
367812^89153-4396213Lelio R Paula06/2016
3679(2*10^96195-59)/396195Robert Price05/2017
36802^319545+14796193Lelio R Paula11/2012
3681(50^56597+1)/5196155Robert Price03/2014
3682(41*10^96137-59)/996138Robert Price10/2017
36832^319353-11034396135Enzo Doria05/2014
368411^92309-4296130Lelio R Paula05/2016
368514^83869-13^8386996125Jean-Louis Charton01/2009
3686(7*10^96112+143)/396113Robert Price04/2016
36872^319237+6583596100Lelio R Paula03/2016
36882^319194-184196087Yves Minet03/2013
368920^73847-3196078Lelio R Paula05/2016
36902^319107-10955596061Enzo Doria04/2014
3691(3*2^319114-1)/262796060Lelio R Paula02/2014
36922^319098-11215796059Enzo Doria06/2014
369315^81673+9496055Lelio R Paula07/2016
36942^319074+187174996051Enzo Doria05/2016
36952^319007-11211196031Enzo Doria06/2014
36962^318946-142196013Yves Minet01/2013
36972^318834-11041195979Enzo Doria05/2014
36982^318831-196595978Lelio R Paula03/2016
3699(5*10^95976+7)/395977Erik Branger03/2014
37005*3^201089-895945Lelio R Paula08/2014
37012^318711-13995942Lelio R Paula11/2012
37022^318635-116795919Lelio R Paula03/2016
370315^81555+1695917Lelio R Paula07/2016
3704(37*10^95895+377)/995896Robert Price10/2017
3705(22699*2^318527+1)/2195890Lelio R Paula07/2014
37062^318496-9730595877Lelio R Paula03/2016
37072^318466+1501595868Lelio R Paula03/2016
37086^123187-17312995859Mike Oakes04/2011
37092^318423-48795855Yves Minet03/2012
3710(10223*2^318350+1)/156395834Lelio R Paula07/2014
371145369!2+102495787Robert Price02/2015
37123^200758-8695786Lelio R Paula05/2016
37133*10^95776-5995777Robert Price10/2017
3714193^41901-295768Lelio R Paula10/2017
37154*10^95752-7195753Robert Price11/2017
3716(509203*2^317881-1)/5280595693Lelio R Paula04/2015
37174*10^95672+9195673Robert Price11/2017
3718(11*10^95641-113)/395642Robert Price01/2017
3719(13*10^95588+11)/395589Robert Price05/2015
3720Phi(191188,10)/19118995587Maksym Voznyy11/2015
37213^200325+7095580Lelio R Paula05/2016
3722(25*10^95574-7)/995575Robert Price12/2014
3723(2^317485-3)/2131395569Lelio R Paula06/2013
37242^317464+3195567Lelio R Paula11/2012
37257^113073+8295558Lelio R Paula04/2016
37262^317251+46595503Lelio R Paula03/2016
372719^74684+5895503Lelio R Paula06/2016
3728(2^317250-7)/33995500Lelio R Paula07/2013
37296^122718-7995494Lelio R Paula05/2016
37302^317141-11049195469Enzo Doria05/2014
37312^317094+7630995455Enzo Doria05/2016
37322^317085+9595453Lelio R Paula11/2012
3733(17*10^95451-377)/995452Robert Price11/2017
37342^317057-10955195444Enzo Doria04/2014
37353^200026+2895437Lelio R Paula05/2016
37362^317024+9395434Donovan Johnson06/2008
37372^316999+160595427Lelio R Paula03/2016
37382^316995-11042795426Enzo Doria05/2014
37402^316937+17795408Lelio R Paula11/2012
37394*10^95407+9195408Robert Price11/2017
37412^316908+191595399Lelio R Paula03/2016
37422^316894+9995395Lelio R Paula11/2012
37436^122547+1195361Lelio R Paula05/2016
37442^316771+8287595358Lelio R Paula03/2016
3745(23*10^95326+1)/395327Serge Batalov05/2009
37461*10^95326+5795327Robert Price03/2011
374710^95326-39368795326Patrick De Geest09/2013
3748(3^199803+4)/47953995325Lelio R Paula04/2013
37492^316654-10948195323Enzo Doria04/2014
37508*10^95316+5195317Robert Price05/2017


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: June, 18 2018 23:06 (Time in France)

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