PRP Records

Probable Primes Top 10000

(205869 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 ?
1251(115*10^154869-1)/3154871Serge Batalov12/2014
12522^514361+78167154839Enzo Doria05/2016
12532^514281-115033154815Enzo Doria06/2015
12542^514194-3311154788Yves Minet12/2014
12552^513437+1879337154560Enzo Doria09/2016
12562^513306-113201154521Enzo Doria07/2014
1257(10^154494-13)/3154494Robert Price12/2017
12582^513042-113787154442Enzo Doria09/2014
12592^512628-114053154317Enzo Doria11/2014
12602^512529-49783154287Enzo Doria10/2015
12612^512315-115297154223Enzo Doria06/2015
12622^512168+79561154178Enzo Doria06/2016
12632^511658-114371154025Enzo Doria02/2015
1264(57^87719+1)/58154022Paul Bourdelais11/2017
12652^511580-1846679154001Enzo Doria07/2015
12662^511541-113713153990Enzo Doria09/2014
12672^511077-112723153850Enzo Doria06/2014
126869^83653-68^83653153826Robert Price12/2013
12692^510963-113707153816Enzo Doria09/2014
1270(154*10^153810-1)/9153812Serge Batalov12/2014
1271(181*25^109991-75077)/8153763Curtis Bright05/2015
12722*10^153746-3153747Robert Price07/2015
12732^510626+1179379153714Enzo Doria05/2016
1274(7*10^153664+113)/3153665Robert Price02/2018
12752^510420+81121153652Enzo Doria07/2016
1276(197*7^181761-1)/2153608Karsten Bonath05/2017
12772^509894-459161153494Enzo Doria05/2015
12782^509841+71657153478Enzo Doria04/2016
12792^509533-1846723153385Enzo Doria07/2015
12802^509468-39989153366Enzo Doria09/2015
128170^83117-69^83117153360Robert Price01/2014
1282(112*10^153025-1)/3153027Serge Batalov12/2014
12832^508174-1855151152976Enzo Doria09/2015
1284181^67757-2152974Lelio R Paula12/2017
12852^508160-1864829152972Enzo Doria01/2016
12862^507857-1848199152881Enzo Doria07/2015
12872^507638-115361152815Enzo Doria07/2015
12882^507551-114025152789Enzo Doria11/2014
1289(6^196337+1)/7152780Paul Bourdelais02/2010
12902^506451-22339152457Enzo Doria07/2013
12912^505995-113185152320Enzo Doria07/2014
1292(4*10^152253+149)/9152253Robert Price04/2018
1293578^55117-577^55117152230Jean-Louis Charton08/2012
12942^505431-505431152150Henri Lifchitz04/2005
12952^505053+73097152037Enzo Doria04/2016
1296(2^504793-7)/46765151954Lelio R Paula12/2017
1297350377#+797581151937Nicolas PALAU08/2017
12982^504618-343991151906Enzo Doria07/2015
12992^504212-461939151783Enzo Doria07/2015
13002^504054-2231151736Yves Minet10/2011
13012^503361-39883151527Enzo Doria09/2015
13022^503225+382667151486Enzo Doria10/2016
13032^502769+1877567151349Enzo Doria08/2016
13042^502576-4019151291Yves Minet10/2011
13052^502290-2792501151205Enzo Doria02/2016
13062^502181+1868417151172Enzo Doria04/2016
13072^501781-1850503151052Enzo Doria08/2015
1308(5*10^151007+37)/3151008Robert Price03/2018
13092^501627-991151005Yves Minet02/2014
13102^501577-115333150990Enzo Doria07/2015
13118*10^150975+3150976Robert Price08/2015
13122^501512-113669150971Enzo Doria09/2014
1313(12^139739+1)/13150803Paul Bourdelais09/2011
1314(31^101111-1)/30150792Alexander Zhirkov11/2010
13152^500899-500899150786Henri Lifchitz04/2005
13162^500832+1876801150766Enzo Doria07/2016
13172^500699+1884953150726Enzo Doria02/2017
1318(2^500527+lucasV(1,2,500527)+1)/4150674Mike Oakes11/2016
13192^500337-71101150617Enzo Doria04/2016
13202^500160+80071150564Enzo Doria06/2016
1321(2^500120+5)/9150551Lelio R Paula12/2017
1323(10^150551-1)/9/385207015049/57498437921/7808738631274081150512Maksym Voznyy08/2014
1322(10^150551-1)/1556587827131683185788921941743157225041150512Robert Price07/2016
13242^499861-29503150474Enzo Doria08/2015
13252^499653-113533150411Enzo Doria08/2014
13262^499534-221150375Yves Minet06/2012
13272^499225+49727150282Enzo Doria09/2016
13282^499054-29261150231Enzo Doria07/2015
1329(2^498898-7)/9150183Lelio R Paula10/2015
13302^498623+1866983150101Enzo Doria03/2016
1331numbpart(18140942830)150033Serge Batalov04/2017
133210^150029+4381150030Patrick De Geest05/2016
133310^150029-41150029Serge Batalov12/2014
13342^498238-53149985Lelio R Paula12/2017
13352^497850+81049149868Enzo Doria07/2016
1336(5*2^497673+1)/2743149812Lelio R Paula10/2015
1337(5*2^497671+1)/373703149810Lelio R Paula10/2015
1338(2*10^149803-143)/3149803Robert Price03/2018
13392^497434-2784191149743Enzo Doria10/2015
13402^497068-113579149633Enzo Doria08/2014
13412^497037+73727149624Enzo Doria04/2016
13422^496773+77747149544Enzo Doria05/2016
13432^496477-113485149455Enzo Doria08/2014
13442^496270-49451149393Enzo Doria10/2015
13452^496238-1865081149383Enzo Doria01/2016
13462^495968-1853699149302Enzo Doria09/2015
13472^495935-4117149292Yves Minet02/2018
13482^495712-396765149225Enzo Doria07/2013
1349(21*2^495676-1)/4835149211Lelio R Paula10/2015
13502^495420+1880701149137Enzo Doria10/2016
13512^495337-1847293149112Enzo Doria07/2015
1352(2^495193-7)/5149068Lelio R Paula10/2015
1353413^56963-412^56963149013Jean-Louis Charton08/2012
135447^89113-46^89113149006Robert Price10/2012
13552^494916+87855148985Lelio R Paula01/2016
13562^494586-2791991148886Enzo Doria02/2016
13578*10^148860-3148861Ray Chandler04/2011
13582^494333-286183148810Enzo Doria06/2015
13592^494144-264119148753Enzo Doria05/2014
1360(5*2^493838-1)/3721148658Lelio R Paula10/2015
1361(23*2^493761-1)/555148636Lelio R Paula10/2015
13622^493636+82081148600Enzo Doria09/2016
1363((((((((((((((34251^2-2)^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)^2-2148593Serge Batalov07/2016
1364177487#+(519643#)/(177487#)148558Makoto Morimoto11/2017
1365(8*10^148328+1)/9148328Serge Batalov05/2010
13665^211959-12874148153Enzo Doria05/2014
1367187^65175-2148068Lelio R Paula11/2017
13682^491851+1871453148062Enzo Doria05/2016
13692^491521-1865323147963Enzo Doria02/2016
1370(2^491476+7)/71147948Lelio R Paula10/2015
13712^491391-7807147924Lelio R Paula01/2013
13722^491370-113297147918Enzo Doria07/2014
1373(32760^32760+32759^32759)/95546586737133567708319147900Robert Price07/2016
13742^490660-17147704Lelio R Paula12/2017
13752^490550+1179439147671Enzo Doria06/2016
13762^490303+2793653147596Enzo Doria03/2016
1377199^64181-2147543Lelio R Paula11/2017
13782^489871-286987147466Enzo Doria07/2015
13792^489864-351899147464Enzo Doria07/2015
1380175^65724-2147422Lelio R Paula11/2017
13812^489712+1874851147419Enzo Doria06/2016
138263^81896-2147359Lelio R Paula10/2017
13832^489305-59815147296Enzo Doria10/2015
1384(2^489280-7)/6381147285Lelio R Paula09/2015
13852^489125+80357147242Enzo Doria06/2016
13862^488648-112799147098Enzo Doria07/2014
13872^488627-350317147092Enzo Doria06/2015
1388(2^488441-1)/(61543567*30051203516986199)147012Dario Alpern12/2014
13892^488280-2165146987Yves Minet07/2014
13902^488278+45146987Lelio R Paula12/2017
13912^487927-39146881Lelio R Paula12/2017
13922^487726-1863341146821Enzo Doria12/2015
13932^487121-39523146639Enzo Doria09/2015
1394(7*2^486967+1)/39146591Lelio R Paula09/2015
13952^486893-79146570Yves Minet09/2017
13962^486840+1879141146554Enzo Doria08/2016
13972^486774-87146534Lelio R Paula12/2017
139896^73877-95^73877146445Robert Price10/2015
1399(52^85259+1)/53146304Paul Bourdelais09/2017
1400179^64935+2146290Lelio R Paula10/2017
14012^485531-114621146160Enzo Doria05/2015
1402(2^485461-9)/4249146135Lelio R Paula09/2015
14032^485389+81887146117Enzo Doria08/2016
1404(10^146063+71)/9146063Serge Batalov07/2015
1405(2^485119+7)/2745146032Lelio R Paula09/2015
14062^484743+1872923145923Enzo Doria05/2016
14072^484341+1879157145802Enzo Doria08/2016
14082^484271-51145781Lelio R Paula11/2017
140970^78989-69^78989145743Robert Price01/2014
141051^85334+2145714Robert Price07/2015
14112^483886-1857101145665Enzo Doria10/2015
14122^483563-1863457145567Enzo Doria12/2015
14132^483516-1861409145553Enzo Doria11/2015
14142^483384-115019145514Enzo Doria06/2015
14152^483302-3221145489Lelio R Paula12/2012
14162^483046+1874029145412Enzo Doria06/2016
14172^482991-2789317145395Enzo Doria12/2015
14182^482978-2789711145391Enzo Doria12/2015
14192^482966-2789711145388Enzo Doria12/2015
14202^482817-1858843145343Enzo Doria10/2015
14212^482751-113635145323Enzo Doria08/2014
14222^482705-459763145309Enzo Doria05/2015
1423(4^241306+11)/3145281Robert Price03/2017
1424(19*2^482534+1)/7145258Lelio R Paula09/2015
142553^84239-52^84239145252Robert Price01/2013
1426(2^482333+5)/9287145193Lelio R Paula09/2015
14272^482087+72623145123Enzo Doria04/2016
14282^482016-286565145102Enzo Doria07/2015
14292^481840+15145049Robert Price09/2015
14302^481801-481801145037Henri Lifchitz03/2005
14312^481775+1869083145029Enzo Doria05/2016
143229^99167+2145022Ray Chandler08/2011
14332^481663+1875653144996Enzo Doria07/2016
14342^481149-459073144841Enzo Doria05/2015
14352^481045-113215144809Enzo Doria07/2014
14362^480859-113695144753Enzo Doria09/2014
14372^480766-2787191144725Enzo Doria11/2015
1438(21*27^101106-151)/26144720Curtis Bright05/2015
14392^480678+1874239144699Enzo Doria06/2016
1440(8*10^144683+1)/9144683Serge Batalov05/2010
1441L(692147)144651Henri Lifchitz10/2008
14422^480417+35144620Robert Price11/2015
14432^480296-59879144584Enzo Doria10/2015
14442^479844+3144448Donovan Johnson06/2006
1445(27*2^479642+1)/733144386Lelio R Paula08/2015
1446(21*2^479605-1)/11144376Lelio R Paula09/2015
14472^479348-2792219144299Enzo Doria02/2016
14483^302389-6242144277Enzo Doria05/2014
14492*10^144220-3144221Robert Price07/2015
14502^478904-109109144165Enzo Doria04/2014
14512^478337-115333143994Enzo Doria07/2015
1452(7*2^478330-1)/3143993Lelio R Paula08/2015
145388^74047-87^74047143984Robert Price05/2015
1454(19*10^143963+467)/9143964Robert Price02/2018
1455(71^77761+1)/72143954Paul Bourdelais09/2017
14562^478088+27143919Robert Price11/2015
14572^477475-22071143735Enzo Doria07/2013
14582^477417-22123143717Enzo Doria07/2013
14592^477359-3577143700Yves Minet03/2017
14602^476936-396765143573Enzo Doria07/2013
14612^476888-2791229143558Enzo Doria01/2016
14622^476868-1859939143552Enzo Doria11/2015
14632^476558-113627143459Enzo Doria08/2014
14642^476478-45143435Lelio R Paula11/2017
1465(2^475854+9)/73143245Lelio R Paula08/2015
14662^475813-113239143234Enzo Doria07/2014
14672^475624-114059143178Enzo Doria11/2014
1468(11*2^475553-7)/15143156Renaud Lifchitz03/2011
14692^475480-2786129143134Enzo Doria10/2015
14702^475299-111937143080Enzo Doria05/2014
14712^475160-2797859143038Enzo Doria04/2016
1472(2^475069+3)/395143008Lelio R Paula08/2015
14732^475027-461437142998Enzo Doria07/2015
1474(2^474958+78557)/3142977Lelio R Paula07/2015
1475(54^82471-1)/53142871Paul Bourdelais09/2017
1476(11*2^474432-1)/95142818Lelio R Paula09/2015
14772^474417-59923142814Enzo Doria10/2015
1478(3*2^474166+1)/7142738Lelio R Paula08/2015
14792^474053+2897142705Lelio R Paula08/2012
1480(10^142699+359)/9142699Serge Batalov12/2014
1481898^48311-897^48311142676Jean-Louis Charton12/2012
14822^473740-1856639142610Enzo Doria09/2015
14832^473617-114223142573Enzo Doria12/2014
14842^473257+1873217142465Enzo Doria06/2016
1485(19*2^473242+1)/11142461Lelio R Paula09/2015
1486(10^142425+359)/9142425Serge Batalov12/2014
14872^473101+773027142418Enzo Doria05/2016
1488(13*2^472838-1)/3142340Lelio R Paula09/2015
1489(17*2^472789-1)/187347142320Lelio R Paula09/2015
14902^472634-109511142278Enzo Doria04/2014
1491(48^84589+1)/49142213Robert Price01/2014
14922^472258+7142164Lelio R Paula08/2015
1493tau(317^10330)142098Nik Lygeros / Olivier Rozier / LR team10/2013
1494(11*2^471913-1)/21142060Lelio R Paula09/2015
14952^471792+1880881142024Enzo Doria11/2016
1496(31*2^471580-1)/135141960Lelio R Paula08/2015
1497(4*10^141926-79)/3141927Robert Price02/2018
1498(904*19^110984-1)/3141924Curtis Bright05/2015
14994*5^202913-9141831Lelio R Paula04/2015
15002*7^167812-3141818Lelio R Paula12/2014


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: April, 22 2018 09:48 (Time in France)

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