PRP Records

Probable Primes Top 10000

(259919 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 ?
22512^428502-113285128992Enzo Doria07/2014
22522^428421-21373128968Enzo Doria06/2013
2253L(616787)128901Henri Lifchitz09/2008
225491^65772-2128851Lelio R Paula05/2017
22552^428022+43128848Lelio R Paula05/2017
22562^427999-459397128841Enzo Doria05/2015
22572^427993+76847128839Enzo Doria05/2016
22582^427824-1851507128788Enzo Doria08/2015
22592^427807-21469128783Enzo Doria07/2013
226011^123594-240128710Enzo Doria09/2012
22612^427504-21503128692Enzo Doria07/2013
22622^427420+91128667Lelio R Paula05/2017
2263(68*10^128645-257)/9128646Robert Price07/2019
22642^427269-113635128621Enzo Doria08/2014
22652^427130+1877569128579Enzo Doria08/2016
22662^427016-115349128545Enzo Doria07/2015
2267(4*10^128510+137)/3128511Robert Price03/2018
22682^426889-112879128507Enzo Doria06/2014
22692^426804+1869931128481Enzo Doria05/2016
22702^426750+77635128465Enzo Doria05/2016
22712^426425-91128367Lelio R Paula05/2017
2272(15*2^426398-1)/11128359Lelio R Paula05/2014
22732^426352+74971128345Enzo Doria04/2016
22744*10^128343-21128344Robert Price09/2018
22752^426300-1863689128330Enzo Doria03/2016
22762^426293+1881017128327Enzo Doria11/2016
22772^426043+35128252Robert Price11/2015
2278(4*10^128244-19)/3128245Robert Price03/2018
2279(305*10^128198+1)/9128200Robert Price02/2020
22802^425808-459959128181Enzo Doria06/2015
22812^425627-113605128127Enzo Doria08/2014
2282(22*10^128094+53)/3128095Robert Price07/2019
2283(86*10^128086-221)/9128087Robert Price09/2019
228418565^30002-30002^18565128070Norbert Schneider01/2015
2285(2^425287-9)/2737128021Lelio R Paula05/2015
2286(3*2^425233-1)/25128007Lelio R Paula05/2014
22872^425205+4911128000Marek Hubal02/2017
22882^425118-113663127974Enzo Doria08/2014
2289(86*10^127967-329)/9127968Robert Price01/2020
22902^425061+1869761127957Enzo Doria05/2016
2291746^44541+44541^746127955Norbert Schneider07/2019
22922^424918-21141127914Enzo Doria07/2013
22932^424864-29489127897Enzo Doria08/2015
2294(97*10^127858-1)/3127860Serge Batalov12/2014
22952^424632-2786639127827Enzo Doria03/2016
22962^424577-113755127811Enzo Doria09/2014
2297(7*2^424512-1)/3127792Lelio R Paula05/2014
2298(56*10^127752+691)/9127753Robert Price05/2019
229911^122629-720127705Enzo Doria11/2012
230022*10^127645+3127647Robert Price01/2020
23012^423696-21429127546Enzo Doria07/2013
23022^423664-1864559127536Enzo Doria03/2016
23033^267267-4127519Henri Lifchitz10/2014
2304(19^99689+5^99689)/24127477Robert Price09/2013
2305(21*2^423372+1)/101127447Lelio R Paula05/2014
23062^423328-21537127435Enzo Doria07/2013
2307(67*10^127413-7)/3127415Robert Price01/2020
2308(2^423165-7)/25127384Lelio R Paula05/2015
2309(112*10^127324+17)/3127326Robert Price03/2020
2310(F(5)^182099-F(4)^182099)/F(3)127282Wayne Halsdorf08/2013
2311(16*10^127259+197)/3127260Robert Price04/2019
2312(26*10^127240+61)/3127241Robert Price10/2019
2313(234483*27^88884-145)/26127230Curtis Bright05/2015
23142^422515-114997127190Enzo Doria06/2015
23155*10^127179-3127180Robert Price07/2015
2316(44*10^127169-233)/9127170Robert Price01/2019
23175*10^127153+77127154Robert Price12/2018
2318736^44335+44335^736127104Norbert Schneider07/2019
2319-516776642557847117490*Bern(37960)/34256837217082767928421792453127042Thomas Ritschel06/2017
2320(78^67141-1)/77127036Paul Bourdelais09/2017
23212^421860-113285126993Enzo Doria07/2014
2322(2^421827-7)/11126982Lelio R Paula05/2015
232311^121910-840126957Enzo Doria12/2012
2324(29*10^126928-77)/3126929Robert Price02/2020
2325(71^68539+1)/72126882Paul Bourdelais09/2017
2326(5*10^126871-119)/3126872Robert Price03/2018
2327331^50339-10004126846Enzo Doria07/2012
23282^421363-2790757126843Enzo Doria03/2016
2329(106*10^126839-1)/3126841Serge Batalov12/2014
2330(7*2^421243+1)/39126807Lelio R Paula05/2014
2331(14*10^126784-83)/3126785Robert Price12/2018
23322^421161-286183126783Enzo Doria06/2015
23332^420939-113935126716Enzo Doria10/2014
2334177^56363-2126703Lelio R Paula10/2017
23352^420741-113659126656Enzo Doria08/2014
23362^420694-21126642Lelio R Paula05/2017
2338(13*10^126638+437)/9126639Robert Price04/2018
2337(167*10^126637-17)/3126639Robert Price03/2020
23394*10^126625+87126626Robert Price08/2018
2340(31*2^420556+1)/7126601Lelio R Paula05/2014
23417*10^126600-99126601Robert Price06/2019
23422^420424-59189126561Enzo Doria10/2015
23432^420126+71893126471Enzo Doria04/2016
2344(43*10^126441+47)/9126442Robert Price12/2018
23452^419866+1877059126393Enzo Doria07/2016
2346F(604711)126377Henri Lifchitz02/2005
23472^419757+72707126360Enzo Doria04/2016
23482^419720-21569126349Enzo Doria07/2013
23492^419637+29126324Henri Lifchitz02/2006
23502^419612+1876741126316Enzo Doria07/2016
23512^419520+2793271126289Enzo Doria03/2016
2352(2^419447-5)/369126264Lelio R Paula05/2014
23532^419328-1859939126231Enzo Doria03/2016
23542^419282-1851507126217Enzo Doria08/2015
23552^419251+1866143126208Enzo Doria03/2016
235611^121185+2126202Robert Price05/2014
2357(23*2^419036-1)/1393126141Lelio R Paula05/2014
23582^418851+23126087Robert Price09/2015
2359(2^418849-9)/2681126083Lelio R Paula05/2014
23602^418829+167126081Lelio R Paula01/2012
2361(31*2^418782-1)/75891126063Lelio R Paula05/2014
2362(19*2^418754-1)/15126058Lelio R Paula05/2014
23632^418319-109501125927Enzo Doria04/2014
23642^418316-112373125926Enzo Doria06/2014
2365(8*10^125894-29)/3125895Robert Price07/2018
2366(26*10^125886-413)/9125887Robert Price05/2018
23672^417968+1869811125821Enzo Doria06/2016
23682^417902+63125802Lelio R Paula09/2015
2369(10^125792-91)/9125792Serge Batalov12/2014
2370(35*10^125754-593)/9125755Robert Price07/2018
2371(32*10^125751-77)/9125752Robert Price06/2018
23722^417704+77011125742Enzo Doria05/2016
2373(10^125706+149)/3125706Serge Batalov12/2014
23742^417419-115309125656Enzo Doria07/2015
23752^417300+77281125620Enzo Doria05/2016
23762^417095-1657125559Yves Minet07/2014
23772^416773-25125462Lelio R Paula09/2015
2378(289511#+292834)/(2^3*146417)125444Makoto Morimoto10/2017
2379(11*2^416691+1)/43125436Lelio R Paula05/2014
2380(289511#+1896)/(2*3^3*79*780193*9911849)125434Makoto Morimoto06/2019
23812^416641-2*416641+1125422Robert Price05/2018
2382(21*2^416566-1)/17125399Lelio R Paula05/2014
23832^416530+1870429125389Enzo Doria05/2016
2384(56*10^125385+691)/9125386Robert Price05/2019
23852^416490+1875109125376Enzo Doria09/2016
23862^416416-114929125354Enzo Doria05/2015
2387(77*10^125330-293)/9125331Robert Price09/2019
2388(172*10^125292-1)/9125294Serge Batalov12/2014
23892^416134+1865899125269Enzo Doria03/2016
2390153^57337-152125264Norbert Schneider12/2018
2391(9*2^415992+1)/13560845125220Lelio R Paula05/2014
2392(23^91943-1)/22125201Robert Price01/2012
239343125^27010-106125185Enzo Doria08/2012
2394(38*10^125166+349)/9125167Robert Price10/2018
23952^415765-112603125158Enzo Doria06/2014
23968*10^125088-13125089Robert Price08/2019
2397(25*10^125076-13)/3125077Robert Price09/2019
2398(29*10^125021-113)/3125022Robert Price10/2019
23992^415290-113591125015Enzo Doria08/2014
24002^415276-460919125011Enzo Doria06/2015
24012^415259+77243125006Enzo Doria05/2016
24022^415144-3683124971Yves Minet10/2011
24032^414874+79124890Lelio R Paula01/2015
2404(2^414765+7)/1389124854Lelio R Paula05/2014
24052^414618+79459124813Enzo Doria06/2016
2406(61*10^124809-1)/3124811Robert Price01/2020
24072^414432-1846709124757Enzo Doria07/2015
24082*10^124751-51124752Robert Price04/2018
2409(56*10^124735+367)/9124736Robert Price06/2019
2410(13*2^414274-1)/153124708Lelio R Paula05/2014
241156*10^124656-3124658Robert Price03/2020
2412(7*10^124648+197)/3124649Robert Price07/2018
24142^414032-5124637Henri Lifchitz07/2006
24132^414032+1872331124637Enzo Doria05/2016
241514120^30009-30009^14120124533Norbert Schneider02/2015
241664^68909-63^68909124463Robert Price07/2013
24172^413387+76253124442Enzo Doria04/2016
24182^413352+524287124432Paul Underwood09/2018
2419287117#+391613124424Nicolas PALAU01/2017
2420(4*10^124420+83)/3124421Robert Price02/2018
2421(27*2^413207-1)/108335124385Lelio R Paula05/2014
2422(41*10^124335-383)/9124336Robert Price11/2018
2423(304*10^124329-43)/9124331Robert Price02/2020
24242^412868-120599124286Paul Bourdelais02/2012
242545^75145-2124231Lelio R Paula08/2015
24262^412645-112213124219Enzo Doria06/2014
24272^412248+74611124100Enzo Doria04/2016
2428(22*10^124096-13)/9124097Robert Price06/2018
24292^412192-3329124083Yves Minet12/2014
2430(25*2^412191-1)/23124082Lelio R Paula05/2014
2431(25*10^124076-67)/3124077Robert Price06/2019
2432F(593689)124074Henri Lifchitz01/2005
2433(11*2^412161+1)/19124073Lelio R Paula05/2014
24342^411884-113279123990Enzo Doria07/2014
2435(2^411832+1)/257123972Lelio R Paula05/2014
2436(2^411833+2)/514123972Stefano Morozzi03/2020
2437(26*10^123970-89)/9123971Robert Price06/2018
24382^411790-1853531123962Enzo Doria08/2015
2439(5^177337+1)/6123953Paul Bourdelais11/2008
24402^411711-113257123938Enzo Doria07/2014
2441(23*2^411675-1)/3123928Lelio R Paula05/2014
2442(11*10^123899-179)/3123900Robert Price09/2018
24432^411325-351103123822Enzo Doria06/2015
24442^411052+1872481123739Enzo Doria05/2016
24452^410997+39123723Lelio R Paula05/2014
2446(148*10^123688-1)/3123690Robert Price03/2020
24478*10^123657+87123658Robert Price10/2019
2448155^56438+154123618Norbert Schneider01/2019
24492^410596-39123602Lelio R Paula05/2014
24502^410540-115079123585Enzo Doria06/2015
2451(7*10^123563+107)/3123564Robert Price02/2018
24529*10^123549+89123550Robert Price11/2019
2453(3*2^410392-1)/9229123537Lelio R Paula05/2014
24542^410206-113081123485Enzo Doria07/2014
2455(25*2^410192+1)/10397123478Lelio R Paula04/2014
24562^409909-189123395Enzo Doria05/2014
24572^409896-109043123391Enzo Doria04/2014
24582^409890+75409123390Enzo Doria04/2016
2459133^58076-2123345Lelio R Paula10/2017
2460F(590041)123311Henri Lifchitz01/2005
24612^409566-113501123292Enzo Doria08/2014
24622^409533+77747123282Enzo Doria05/2016
24632^409436-112799123253Enzo Doria06/2014
24642^409225+1873787123189Enzo Doria06/2016
24652^409174+73009123174Enzo Doria04/2016
24662^409058-112685123139Enzo Doria06/2014
2467(13*10^123137-61)/3123138Robert Price11/2018
24684*10^123113+21123114Robert Price12/2018
24692^408778+77689123055Enzo Doria05/2016
24702^408690-75123028Lelio R Paula11/2013
2471(29*10^122996+673)/9122997Robert Price12/2018
24722^408574-2787341122994Enzo Doria03/2016
24733*10^122977+37122978Robert Price08/2018
2474Phi(157825,10)122961Maksym Voznyy06/2015
2475(68*10^122933-419)/9122934Robert Price07/2019
2476(13*2^408283+1)/1665122904Lelio R Paula05/2014
2477(16*10^122871+77)/3122872Robert Price03/2019
2478(11*2^408100-1)/35122850Lelio R Paula04/2014
2479(19*10^122836-43)/3122837Robert Price05/2019
2480(2^407821-lucasV(1,2,407821)+1)/2122767Mike Oakes11/2016
2481(32*10^122733-77)/9122734Robert Price06/2018
2482(21*2^407604-1)/215122701Lelio R Paula04/2014
2483(22*10^122681+161)/3122682Robert Price05/2019
2484(21*2^407433-1)/13122650Lelio R Paula04/2014
2485(26*10^122625-131)/3122626Robert Price10/2019
2486(73*10^122592-1)/9122593Robert Price01/2015
2487(5*10^122592+91)/3122593Robert Price04/2018
2488(85*10^122585-1)/3122587Robert Price02/2020
24892^407179-112075122574Enzo Doria06/2014
2490(21*2^407131+1)/207517523122552Lelio R Paula04/2014
2491(66^67349+1)/67122543Paul Bourdelais09/2017
24922^407008-1867919122522Enzo Doria04/2016
249311^117642-300122512Enzo Doria10/2012
2494(F(3*97700+1)^2+L(3*97700+1)^2)/2122509Henri Lifchitz10/2017
24952^406949+72197122504Enzo Doria04/2016
2496(19*10^122501+149)/3122502Robert Price05/2019
24972^406826-65122467Lelio R Paula11/2013
24982^406821-2797363122466Enzo Doria04/2016
24992^406758-17122447Lelio R Paula11/2013
2500(30^82883-1)/29122427Robert Price12/2011


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: March, 29 2020 17:41 (Time in France)

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