PRP Records

Probable Primes Top 10000

(191107 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) !!!


Submit your PRPs


See the Top discoverers
See the Latest PRPs
Search by form



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 ?
22512^366816+315110423Lelio R Paula05/2017
22522^366775-2787037110411Enzo Doria03/2016
2253(112*10^110405-1)/3110407Serge Batalov12/2014
22542^366751+2797553110404Enzo Doria03/2016
22552^366748+255110403Lelio R Paula05/2017
22562^366738-2985110400Yves Minet09/2014
2257(23*2^366739+1)/74575110396Lelio R Paula03/2014
22582^366716+1871791110393Enzo Doria05/2016
22592^366649+1871687110373Enzo Doria05/2016
22602^366629-351205110367Enzo Doria06/2015
22612^366558+1874479110345Enzo Doria06/2016
226218^87853-4409110280Enzo Doria03/2013
22632^366218-23110243Lelio R Paula02/2013
2264(21*2^366193-1)/197110235Lelio R Paula03/2014
22652^366178-343991110231Enzo Doria07/2015
22662^365944+1871341110161Enzo Doria05/2016
22672^365838-461267110129Enzo Doria07/2015
22682^365763-6555110106Lelio R Paula04/2017
2269(2^365689+2^182845+1)/511008311/2006
22702^365666-459161110077Enzo Doria05/2015
22713*10^110076-7110077Robert Price08/2015
227213^98785-72110041Lelio R Paula03/2017
2273(25^78707+1)/26110027Robert Price06/2013
22746^141361-7110001Lelio R Paula11/2014
227520^84536+81109984Lelio R Paula03/2017
22765*2^365347-9109982Lelio R Paula09/2014
22779*6^141303+7109957Lelio R Paula11/2014
227878^58099+77109929Norbert Schneider02/2015
22792*10^109928-7109929Robert Price10/2015
2280(27*2^365137-1)/2021109916Lelio R Paula03/2014
2281(4441*29^75152-24)/7109905Curtis Bright05/2015
2282(2^365087+7)/6015109899Lelio R Paula01/2014
228318^87533-11109878Lelio R Paula04/2017
22842^364982-5109871Henri Lifchitz04/2006
22852^364936-1867979109857Enzo Doria04/2016
22862^364867-112087109836Enzo Doria06/2014
22874^182415-85061109825Mike Oakes06/2011
2288(17^89227+16^89227)/33109788Robert Price08/2013
22892^364687-187109782Lelio R Paula01/2012
22902^364644+67109769Lelio R Paula01/2012
2291(9787*2^364625-1)/24947109763Lelio R Paula05/2015
2292(2^364616+5)/9109760Lelio R Paula01/2014
229312^101694+73109747Lelio R Paula03/2017
229413^98518-66109744Lelio R Paula03/2017
22952^364478-113261109719Enzo Doria07/2014
2296(24737*2^364454+1)/3109716Lelio R Paula07/2014
2297(62*10^109673+1)/9109674Serge Batalov11/2010
22983^229824+340109654Lelio R Paula03/2017
22992^364169-112813109626Enzo Doria06/2014
230010^109615+21109616Lelio R Paula03/2017
230110^109615-456267109615Patrick De Geest03/2017
23022^364094-113109604Lelio R Paula01/2012
2303(4^182026+11)/3109591Robert Price02/2017
23042^364041-6883109588Lelio R Paula09/2011
230512^101545+11109586Lelio R Paula03/2017
23062^363842-2787101109528Enzo Doria03/2016
2307(22699*2^363782+1)/763109511Lelio R Paula07/2014
23082^363769+5711109506Lelio R Paula04/2017
2309(31*2^363748+1)/49109499Lelio R Paula03/2014
2310p(22245)#/2-8109462Robert Price01/2017
23112^363556+55109442Lelio R Paula01/2012
2312(55459*2^363411+1)/81109401Lelio R Paula07/2014
23132^363406+1871569109397Enzo Doria05/2016
2314(2^363349+7)/9109378Lelio R Paula01/2014
23153^229236+100109374Lelio R Paula03/2017
23162^363268-58695109355Lelio R Paula04/2017
23172^363191-112321109332Enzo Doria06/2014
23182^363120+3109311Donovan Johnson04/2006
2319(10^109297-1)/9109297Paul Bourdelais, Harvey Dubner04/2007
23202^363042-114641109287Enzo Doria04/2015
23212^363020-112793109280Enzo Doria06/2014
2322(67607*2^362695+1)/70499109183Lelio R Paula07/2014
2323(9*2^362644+1)/5109167Lelio R Paula03/2014
23245^156181+38109166Lelio R Paula02/2017
23253^228750+68109142Lelio R Paula03/2017
2326(10223*2^362376+1)/9109090Lelio R Paula07/2014
232765^60167-64^60167109078Robert Price08/2013
23287*3^228589-2109066Lelio R Paula09/2014
2329(78557*2^362188+1)/189109033Lelio R Paula07/2014
23302*7^129008+9109025Lelio R Paula11/2014
23312^361957+76367108960Enzo Doria05/2016
23322^361873-1411108935Yves Minet01/2013
2333(24737*2^361857+1)/35108933Lelio R Paula07/2014
233413^97745-24108883Lelio R Paula03/2017
233517^88475+8108864Lelio R Paula04/2017
23362^361567+51108843Lelio R Paula01/2012
23372^361563-109501108842Enzo Doria04/2014
233812^100852+83108838Lelio R Paula03/2017
23392^361497+767108822Lelio R Paula01/2012
23402^361280-112349108757Enzo Doria06/2014
23412^361271-5955108754Lelio R Paula04/2017
234212^100757+19108736Lelio R Paula03/2017
234314^94849-61108710Lelio R Paula05/2017
2344(19^85009-5^85009)/14108705Robert Price07/2013
2345(11*2^361027+1)/40463108677Lelio R Paula03/2014
23462^360973+1299108664Lelio R Paula04/2017
23472^360959-109101108660Enzo Doria04/2014
23486*5^155454+7108659Lelio R Paula11/2014
234910^108656+79108657Lelio R Paula02/2017
235010^108656-50001108656Patrick De Geest03/2017
23512^360918-35108648Lelio R Paula01/2012
2352(11*2^360886-1)/7108638Lelio R Paula03/2014
23532^360706-458903108584Enzo Doria04/2015
23542^360641-113185108564Enzo Doria07/2014
23552^360618+75019108557Enzo Doria04/2016
23563*5^155286+2108541Lelio R Paula11/2014
23577^128422+4108530Lelio R Paula11/2014
23587^128421-80108529Lelio R Paula03/2017
23592^360497+53807108521Yves Minet07/2010
23602^360366+1459108481Lelio R Paula09/2011
23612^360364-1499108481Yves Minet05/2013
236214^94642-23108472Lelio R Paula05/2017
23634*10^108412+9108413Robert Price05/2015
23642^360093-351103108399Enzo Doria06/2015
23652^360042+723108384Lelio R Paula01/2012
236685^56164-2108364Lelio R Paula10/2013
23672^359937-29323108352Enzo Doria07/2015
23682^359898-19997108341Enzo Doria06/2013
23692*5^154948-7108305Lelio R Paula11/2014
237010^108303+13108304Lelio R Paula02/2017
237110^108303-207959108303Patrick De Geest03/2017
23722^359730+753108290Lelio R Paula12/2011
23732^359650-19797108266Enzo Doria06/2013
237491^55259-90^55259108255Robert Price07/2015
23753^226845+68108233Lelio R Paula03/2017
23765^154822-12866108216Enzo Doria05/2014
2377(9*2^359480+1)/5108215Lelio R Paula03/2014
23782^359454-177108207Lelio R Paula12/2011
23796^139022-59108181Lelio R Paula02/2017
23802^359352-179108176Lelio R Paula12/2011
23812^359338-1858781108172Enzo Doria04/2016
238212^100230-97108167Lelio R Paula03/2017
2383(25*2^359297-1)/137108159Lelio R Paula03/2014
2384(2^359262-509203)/9108148Lelio R Paula12/2013
2385(3^226648-8)/352715633108131Lelio R Paula12/2013
23866^138956-59108129Lelio R Paula02/2017
23872^359184+30285108126Lelio R Paula04/2017
238813^97059+10108119Lelio R Paula03/2017
23892^359137-81108112Lelio R Paula12/2011
2391(15185*2^359105-1)/567108103Lelio R Paula05/2015
23902^359110-11655108103Lelio R Paula04/2017
23928*6^138875+5108067Lelio R Paula11/2014
23932^358987-216919108066Enzo Doria05/2014
239439^67918-67918^39108062Norbert Schneider02/2017
23952^358785-16933108006Enzo Doria05/2013
2396(2^358783+5)/33383108000Lelio R Paula12/2013
23976^138770-77107985Lelio R Paula02/2017
2398(2^358727-1017)/94178479107980Lelio R Paula12/2013
239910^107976+19107977Lelio R Paula02/2017
240010^107976-202103107976Patrick De Geest03/2017
24012^358684+75781107975Enzo Doria04/2016
240299^54094+2107952Lelio R Paula06/2013
2403(2^358583-9)/391107942Lelio R Paula12/2013
24042^358538+55107931Lelio R Paula12/2011
24052^358517-109009107925Enzo Doria03/2014
24063^226159+104107906Lelio R Paula03/2017
24072^358310-11655107863Lelio R Paula03/2017
24082^358275-112987107852Enzo Doria07/2014
24092^358233-20005107839Enzo Doria06/2013
24102^358194+175107828Lelio R Paula12/2011
2411107^53125-106107812Norbert Schneider12/2016
24123^225922-2107793Lelio R Paula10/2013
241312^99874-95107783Lelio R Paula03/2017
24142^358030-171107778Lelio R Paula12/2011
241511^103488-4170107772Enzo Doria12/2012
24162^357911-20089107742Enzo Doria06/2013
24172^357885+12857107735Yves Minet07/2010
24187^127473+40107728Lelio R Paula03/2017
24195*2^357850+9107725Lelio R Paula09/2014
24202^357786-291191107705Enzo Doria06/2015
242118^85798-23107700Lelio R Paula04/2017
24222^357688-1854269107675Enzo Doria09/2015
24232^357671-112225107670Enzo Doria06/2014
24242^357618-21005107654Enzo Doria06/2013
24252^357615-17505107653Enzo Doria05/2013
2426(30^72871-1)/29107638Robert Price12/2011
24272^357521+1870217107625Enzo Doria05/2016
24282^357477-1203107612Lelio R Paula03/2017
24295^153894-18107568Lelio R Paula02/2017
24302^357324-69059107566Enzo Doria11/2015
24312^357283-869688105107553Lelio R Paula01/2017
24322^357280-16805107552Enzo Doria05/2013
243310^107547+481719107548Patrick De Geest03/2017
243410^107547-47107547Lelio R Paula02/2017
243517^87396-32107537Lelio R Paula04/2017
24362^357081+107107493Lelio R Paula12/2011
24372^357058-3911107486Yves Minet04/2017
24383^225274+64107484Lelio R Paula03/2017
243918^85619-95107476Lelio R Paula04/2017
24403^225248-130107471Lelio R Paula03/2017
2441(5*2^356961+1)/143107455Lelio R Paula03/2014
24422^356935-18085107449Enzo Doria05/2013
244310^107409+37107410Lelio R Paula02/2017
244410^107409-329633107409Patrick De Geest03/2017
24452^356787-109027107404Enzo Doria04/2014
2446(2^356767+78557)/5107397Lelio R Paula12/2013
24475^153622-42107378Lelio R Paula02/2017
24482^356699-97305107378Lelio R Paula03/2017
24492^356654+85107364Lelio R Paula11/2011
24502^356641-19921107360Enzo Doria06/2013
24512^356623-465107355Lelio R Paula03/2017
245219^83945-92107345Lelio R Paula02/2017
245310^107334+28149107335Patrick De Geest03/2017
245410^107334-83107334Lelio R Paula02/2017
24552^356518+885107323Lelio R Paula03/2017
2456(3*2^356506-1)/467107317Lelio R Paula03/2014
24572^356442-114713107300Enzo Doria04/2015
24582^356425+72257107295Enzo Doria04/2016
24592^356351-112237107273Enzo Doria06/2014
2460(6^137845-11)/5107264Paul Bourdelais11/2011
24612^356322+74539107264Enzo Doria04/2016
24622^356274+1874479107250Enzo Doria06/2016
246320^82422-93107234Lelio R Paula02/2017
24642^356157-20365107214Enzo Doria06/2013
24652^356129-18949107206Enzo Doria05/2013
24662^356100-109587107197Enzo Doria04/2014
2467(31*2^355970+1)/5107159Lelio R Paula03/2014
24682^355968-64875107158Lelio R Paula01/2017
24692^355952+1870321107153Enzo Doria05/2016
24702^355915-117107142Lelio R Paula11/2011
2471(19*2^355838-1)/15107119Lelio R Paula03/2014
24723^224495-8107112Lelio R Paula12/2013
24737^126691-44107067Lelio R Paula03/2017
24744^177830-8243107065Mike Oakes02/2011
24752^355524-21237107024Enzo Doria06/2013
2476(10223*2^355515+1)/4855107022Lelio R Paula07/2014
24772^355494-19901107015Enzo Doria06/2013
24782^355454-869688105107003Lelio R Paula01/2017
24792^355366+54615106976Lelio R Paula01/2017
2480(31*2^355346-1)/1563106969Lelio R Paula03/2014
24812^355275-19861106949Enzo Doria06/2013
2482(9179*2^355234-1)/1915106937Lelio R Paula05/2015
24834*10^106892-3106893Robert Price10/2015
2484(66^58741+1)/67106881Paul Bourdelais08/2017
24852^354946-3106850M. Frind & P. Underwood08/2002
24862^354873-18693106828Enzo Doria05/2013
24872^354828+4257106814Lelio R Paula01/2017
2488(21^80761+1)/22106783Paul Bourdelais03/2010
24892^354640-354640+1106758Robert Price10/2014
24902^354585+95106741Lelio R Paula10/2011
24912^354553+189106732Lelio R Paula10/2011
24922^354514-109031106720Enzo Doria04/2014
24932^354509-109465106718Enzo Doria04/2014
2494(15*2^354478-1)/26983106706Lelio R Paula03/2014
249515^90710+28106684Lelio R Paula04/2017
24967^126237+34106683Lelio R Paula03/2017
24972^354385-115315106681Enzo Doria06/2015
24982^354327-19305106664Enzo Doria06/2013
2499(35*10^106649+1)/9106650Serge Batalov11/2010
250010^106636+97106637Lelio R Paula02/2017


Find by discoverer :


Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: November, 22 2017 23:29 (Time in France)

Go back
Valid XHTML 1.0!    Valid CSS!