PRP Records

Probable Primes Top 10000

(173006 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 ?
25210^282493-9^282493282493Jean-Louis Charton03/2007
25110^282493-132327282493Patrick De Geest02/2017
2533^591827-2^591827282374Mike Oakes08/2009
254Tau(509^18946)282048Nik Lygeros / Olivier Rozier05/2015
2552^936716-1835519281980Enzo Doria04/2015
2562^936588+79411281942Enzo Doria06/2016
2572^936047+1877423281779Enzo Doria08/2016
2582^935713+1869377281678Enzo Doria05/2016
2592^933082+1877059280886Enzo Doria08/2016
260(5*10^280710+1)/3280711Serge Batalov10/2014
261(10^279978+11)/3279978Serge Batalov07/2015
2622^929524-1864829279815Enzo Doria01/2016
2632^929152+60181279703Enzo Doria02/2016
2642^928621-2787883279543Enzo Doria11/2015
265(2^927763+lucasV(-1,2,927763)+1)/2279285Mike Oakes04/2017
2662^927429+1882277279184Enzo Doria12/2016
267(2^925391+lucasV(-1,2,925391)+1)/2278571Mike Oakes03/2017
2682^925330-1301278553Yves Minet06/2015
269(21^210599+1)/22278457Paul Bourdelais08/2013
2702^923261-69175277930Enzo Doria11/2015
271757^96487-756^96487277796Jean-Louis Charton12/2012
272((((((((((((((291487327^2-2)^2-2)^2-2)^2-2)^2-2)^2-2)^2-2)^2-2)^2-2)^2-2)^2-2)^2-2)^2-2)^2-2)^2-2277369Serge Batalov07/2016
273(5^396413-1)/4277081Paul Bourdelais06/2010
2742^920318+2792299277044Enzo Doria02/2016
2752^918596-2786939276525Enzo Doria11/2015
2762^916639+60563275936Enzo Doria04/2016
2772^916385-2786383275860Enzo Doria11/2015
2782^915928+82081275722Enzo Doria09/2016
2792^915576-114137275616Enzo Doria01/2015
2802^914828+1876741275391Enzo Doria07/2016
2812^914757-2203275370Yves Minet12/2015
2822^911900+1871245274510Enzo Doria05/2016
2832^910490+283429274085Enzo Doria01/2017
2842^909988-1862249273934Enzo Doria12/2015
2852^909297+1879157273726Enzo Doria08/2016
2862^909257-1864423273714Enzo Doria01/2016
2872^908579-1861747273510Enzo Doria12/2015
2882^907635-2791597273226Enzo Doria01/2016
2892^906594-113201272912Enzo Doria08/2014
2902^904773+1872167272364Enzo Doria06/2016
2912^904149-1862473272176Enzo Doria12/2015
292(7*10^271757-61)/9271757Erik Branger03/2012
2932^902497+1880117271679Enzo Doria09/2016
2942^901858+77689271487Enzo Doria06/2016
2952^901372+1875301271341Enzo Doria06/2016
2962^899121-115033270663Enzo Doria07/2015
2972^898900+883021270596Enzo Doria12/2016
2982^898762-251511270555Enzo Doria12/2013
2992^898589+47270503Lelio R Paula03/2016
300187322*10^270343-187321270349Danilo Nitsche09/2013
30148358*10^270343-48357270348Danilo Nitsche09/2013
302(10^270343-1)/9270343Maksym Voznyy07/2007
3032^897867-3217270285Yves Minet12/2016
3042^897849-115273270280Enzo Doria07/2015
3052^896616-114179269909Enzo Doria12/2014
3062^894928+583561269401Enzo Doria04/2017
3072^894673-39343269324Enzo Doria08/2015
308F(1285607)268676Henri Lifchitz11/2008
3092^892112+187663268553Enzo Doria08/2016
310(10^268207+1)/11268206Paul Bourdelais02/2010
3112^890957-69583268205Enzo Doria12/2015
3122^890122-351401267954Enzo Doria07/2015
313(19^209359-1)/18267718Paul Bourdelais08/2010
3142^886324+77791266811Enzo Doria06/2016
3152^884714+1880527266326Enzo Doria10/2016
31611^255426+255426^11265999Serge Batalov05/2014
3172^883462-343421265949Enzo Doria07/2015
3182^883442+1875019265943Enzo Doria06/2016
3192^883333-291583265910Enzo Doria07/2015
3202^880411+1882673265031Enzo Doria12/2016
3212^879530-2788031264765Enzo Doria12/2015
3222^878118+2793079264340Enzo Doria02/2016
3232^875748-461129263627Enzo Doria07/2015
3242^875181-2789923263456Enzo Doria12/2015
3252^875101-350083263432Enzo Doria08/2015
3262^874684+1883587263307Enzo Doria01/2017
3272^874616+1872211263286Enzo Doria05/2016
3282^874073+2792957263123Enzo Doria02/2016
3292^873628+1878751262989Enzo Doria08/2016
3302^873288-269262886Yves Minet01/2015
3312^871146-3173262242Yves Minet07/2016
3322^869601-163261776Yves Minet01/2015
3332^869326+282859261694Enzo Doria11/2016
3342^869035-114181261606Enzo Doria12/2014
3352^865715+80303260607Enzo Doria07/2016
3362^865048+1882411260406Enzo Doria12/2016
3372^864899-113871260361Enzo Doria10/2014
338(7*10^260198-61)/9260198Erik Branger11/2011
3392^864298-2788421260180Enzo Doria12/2015
3402^864039-2791357260102Enzo Doria01/2016
3412^863621-113833259976Enzo Doria10/2014
3422^862837+75767259740Enzo Doria05/2016
3432^862088+1874941259515Enzo Doria06/2016
3442^861516-1854029259343Enzo Doria09/2015
3452^860975-1853977259180Enzo Doria09/2015
3462^860625-1858843259074Enzo Doria10/2015
3472^860110+77689258919Enzo Doria05/2016
3482^859600+1880371258766Enzo Doria10/2016
3492^859433+494711258716Makoto Morimoto10/2013
350(2^859433+39899)/(73*3907*46301)258705Makoto Morimoto10/2016
3512^859240+1875271258658Enzo Doria06/2016
352Tau(971^15738)258571Nik Lygeros / Olivier Rozier05/2015
353(11*2^857159-13)/15258031Renaud Lifchitz08/2011
3542^857016-633113257988Enzo Doria12/2013
3552^855732-113969257602Enzo Doria10/2014
3562^853682-3911256984Enzo Doria05/2014
35711^246668-90256879Enzo Doria12/2012
3582^851904-113939256449Enzo Doria10/2014
35911^246167-90256357Enzo Doria12/2012
3602^850700-569049256087Enzo Doria11/2013
36121^193601-20^193601255983Jean-Louis Charton02/2015
3622^849177-114025255628Enzo Doria12/2014
3632^848502-3173255425Yves Minet07/2016
3642^848178-140291255328Enzo Doria01/2014
3652^847622-2441255160Yves Minet02/2016
3662^847291+182843255061Enzo Doria11/2016
3672^847174+1879429255025Enzo Doria09/2016
36824*29^174239+13361254809Curtis Bright04/2015
3692^845610-1868591254554Enzo Doria04/2016
3702^845484+81931254517Enzo Doria08/2016
3712^845402-114761254492Enzo Doria05/2015
3722^844334-2792441254170Enzo Doria02/2016
37311^243796-90253888Enzo Doria12/2012
3742^842209+1876037253531Enzo Doria07/2016
3752^842123-59197253505Enzo Doria10/2015
3762^840716-2969253081Yves Minet05/2016
3772^840358-462491252973Enzo Doria08/2015
3782^840310+1878379252959Enzo Doria08/2016
37911^242579-60252620Enzo Doria10/2012
38045^152659+2252378Robert Price09/2015
3812^837725+1869377252181Enzo Doria05/2016
3822^837536-311039252124Enzo Doria06/2015
38321^190632-2252058Robert Price07/2015
3842^837242+1873297252035Enzo Doria06/2016
3852^836656-2787929251859Enzo Doria11/2015
3862^836380+1875541251776Enzo Doria07/2016
387tau(41^28288)250924Nik Lygeros / Olivier Rozier10/2013
3882^832511-461197250611Enzo Doria07/2015
3892^832505+1881137250609Enzo Doria11/2016
3902^832363+583295250567Enzo Doria12/2016
3912^832244-403635250531Enzo Doria01/2014
3922^831157+1880657250204Enzo Doria11/2016
3932^831088-7200899250183Enzo Doria01/2015
3942^830956-1349250143Yves Minet07/2015
3952^830037+282317249867Enzo Doria09/2016
3962^829589-113653249732Enzo Doria09/2014
3972^828281-3193249338Yves Minet08/2016
3982^828064-2785619249273Enzo Doria10/2015
3992^827602+60409249134Enzo Doria03/2016
40010^249010+348861249011Patrick De Geest04/2016
40110^249010-21249010Serge Batalov12/2014
4022^826733+1882907248872Enzo Doria12/2016
4032^825682+1876549248556Enzo Doria07/2016
4042^824991-114121248348Enzo Doria12/2014
4052^824642-362727248242Enzo Doria12/2013
4062^824565-114265248219Enzo Doria01/2015
407(73*10^248145-1)/9248146Robert Price01/2015
408(2^822971-1)/6583769/28211445881/21255852651726486149207247700Robert Kinser09/2016
4092^822296+76501247536Enzo Doria05/2016
4102^821590-114167247324Enzo Doria12/2014
4112^821512-2790659247300Enzo Doria12/2015
4122^820077+382847246868Enzo Doria11/2016
4132^820001+81269246845Enzo Doria07/2016
4142^819463-59197246683Enzo Doria10/2015
4152^819296+80581246633Enzo Doria07/2016
4162^817160-350369245990Enzo Doria06/2015
4172^815111-113857245373Enzo Doria10/2014
418846^83761-845^83761245200Jean-Louis Charton12/2012
4192^814356-2790449245146Enzo Doria12/2015
4202^814276-459029245122Enzo Doria04/2015
4212^814023+180923245046Enzo Doria07/2016
422(3^513059-2^513059)/(1026119*5430216457)244776Mike Oakes03/2017
4232^811842-113675244389Enzo Doria09/2014
4242^811132-2787929244176Enzo Doria11/2015
4252^809746-2790971243758Enzo Doria01/2016
4262^808767-3295243464Yves Minet12/2016
4272^808621-113809243420Enzo Doria09/2014
4282^807724+1879621243150Enzo Doria09/2016
4292^805843-113611242583Enzo Doria08/2014
4302^805745-459763242554Enzo Doria05/2015
4312^805353+782687242436Enzo Doria11/2016
4322^804277-417933242112Enzo Doria01/2014
4332^803468-269039241868Enzo Doria10/2013
4342^803172+80851241779Enzo Doria07/2016
4353^506233-2241535Robert Price11/2013
4362^802025-25999241434Enzo Doria10/2013
437(3^505823+3^252912+1)/7241339Serge Batalov03/2014
4382^801303+1872923241217Enzo Doria05/2016
4392^800579-1862947240999Enzo Doria12/2015
4402^798973-26283240515Enzo Doria10/2013
4412^798671-69487240424Enzo Doria12/2015
4422^797220+79831239988Enzo Doria06/2016
4432^796910-26001239894Enzo Doria10/2013
4442^796598+653119239800Enzo Doria12/2016
4452^796432-1859729239750Enzo Doria11/2015
4462^796002-1852211239621Enzo Doria08/2015
4472^795709+75767239533Enzo Doria04/2016
4482^795708+81721239532Enzo Doria08/2016
4492^795468-2786249239460Enzo Doria10/2015
4502^795442+80779239452Enzo Doria07/2016
4512^795075-1852057239342Enzo Doria08/2015
4522^794043+1875023239031Enzo Doria06/2016
4532^793347-69577238822Enzo Doria01/2016
4542^792988-344429238714Enzo Doria08/2015
4552^792700-2786369238627Enzo Doria11/2015
4562^792663-1844797238616Enzo Doria06/2015
4572^792605-291943238598Enzo Doria07/2015
458(2^792061-2^396031+1)/5238434Thomas Ritschel03/2014
4592^789373+1869377237625Enzo Doria05/2016
460((10^59387+1)^3*(10^59387+1+10^29694)-(10^118774+10^59387)*(10^29694-1)+10^178161)/27961237544Serge Batalov04/2015
4612^788942+1866409237496Enzo Doria02/2016
4622^788844-114329237466Enzo Doria01/2015
4632^788705-1859713237424Enzo Doria11/2015
4642^786180+1871971236664Enzo Doria05/2016
46511^227092-90236492Enzo Doria11/2012
4662^785260+1866361236387Enzo Doria02/2016
4672^785220+1880611236375Enzo Doria10/2016
46819^184650-2236122Robert Price10/2014
46910^236059+216513236060Patrick De Geest04/2016
47010^236059-20909236059Robert Price09/2015
4712^782634-113981235597Enzo Doria11/2014
4722^782423+1879733235533Enzo Doria09/2016
4732^781682-2789543235310Enzo Doria12/2015
4742^780408-113453234927Enzo Doria08/2014
4752^780368-1864829234915Enzo Doria01/2016
4762^779593-1836559234681Enzo Doria05/2015
477(5^335429+1)/6234455Paul Bourdelais08/2010
4782^778395-113617234321Enzo Doria08/2014
4792^776245-2792353233674Enzo Doria02/2016
4802^776060-114029233618Enzo Doria11/2014
4812^775987-2789557233596Enzo Doria12/2015
4822^775672+1866721233501Enzo Doria03/2016
483(11^223999+1)/12233270Paul Bourdelais02/2010
4842^774118+1885789233033Enzo Doria04/2017
48521^176191-20^176191232964Jean-Louis Charton01/2015
4862^773679-113425232901Enzo Doria08/2014
48710^232599+192489232600Patrick De Geest12/2013
48810^232599-3232599Markus Tervooren10/2010
4892^772552-458879232562Enzo Doria04/2015
4902^772214+1874899232460Enzo Doria06/2016
4912^771994-1862771232394Enzo Doria12/2015
4922^771889+1876037232362Enzo Doria07/2016
4932^771660+1866511232293Enzo Doria02/2016
4945^332150-18188232163Enzo Doria06/2014
4953^485977-2^485977231870Mike Oakes09/2009
4962^770082-114161231818Enzo Doria01/2015
497(20^177967+1)/21231540Paul Bourdelais05/2013
4982^767622-9221231078Lelio R Paula01/2016
4992^767344+1880311230994Enzo Doria09/2016
500(3^483611-1)/2230741Paul Bourdelais02/2010


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: May, 25 2017 10:58 (Time in France)

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