PRP Records

Probable Primes Top 10000

(181746 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 ?
12515^211959-12874148153Enzo Doria05/2014
12522^491851+1871453148062Enzo Doria05/2016
12532^491521-1865323147963Enzo Doria02/2016
1254(2^491476+7)/71147948Lelio R Paula10/2015
12552^491391-7807147924Lelio R Paula01/2013
12562^491370-113297147918Enzo Doria07/2014
1257(32760^32760+32759^32759)/95546586737133567708319147900Robert Price07/2016
12582^490550+1179439147671Enzo Doria06/2016
12592^490303+2793653147596Enzo Doria03/2016
12602^489871-286987147466Enzo Doria07/2015
12612^489864-351899147464Enzo Doria07/2015
12622^489712+1874851147419Enzo Doria06/2016
12632^489305-59815147296Enzo Doria10/2015
1264(2^489280-7)/6381147285Lelio R Paula09/2015
12652^489125+80357147242Enzo Doria06/2016
12662^488648-112799147098Enzo Doria07/2014
12672^488627-350317147092Enzo Doria06/2015
1268(2^488441-1)/(61543567*30051203516986199)147012Dario Alpern12/2014
12692^488280-2165146987Yves Minet07/2014
12702^487726-1863341146821Enzo Doria12/2015
12712^487121-39523146639Enzo Doria09/2015
1272(7*2^486967+1)/39146591Lelio R Paula09/2015
12732^486893-79146570Yves Minet09/2017
12742^486840+1879141146554Enzo Doria08/2016
127596^73877-95^73877146445Robert Price10/2015
12762^485531-114621146160Enzo Doria05/2015
1277(2^485461-9)/4249146135Lelio R Paula09/2015
12782^485389+81887146117Enzo Doria08/2016
1279(10^146063+71)/9146063Serge Batalov07/2015
1280(2^485119+7)/2745146032Lelio R Paula09/2015
12812^484743+1872923145923Enzo Doria05/2016
12822^484341+1879157145802Enzo Doria08/2016
128370^78989-69^78989145743Robert Price01/2014
128451^85334+2145714Robert Price07/2015
12852^483886-1857101145665Enzo Doria10/2015
12862^483563-1863457145567Enzo Doria12/2015
12872^483516-1861409145553Enzo Doria11/2015
12882^483384-115019145514Enzo Doria06/2015
12892^483302-3221145489Lelio R Paula12/2012
12902^483046+1874029145412Enzo Doria06/2016
12912^482991-2789317145395Enzo Doria12/2015
12922^482978-2789711145391Enzo Doria12/2015
12932^482966-2789711145388Enzo Doria12/2015
12942^482817-1858843145343Enzo Doria10/2015
12952^482751-113635145323Enzo Doria08/2014
12962^482705-459763145309Enzo Doria05/2015
1297(4^241306+11)/3145281Robert Price03/2017
1298(19*2^482534+1)/7145258Lelio R Paula09/2015
129953^84239-52^84239145252Robert Price01/2013
1300(2^482333+5)/9287145193Lelio R Paula09/2015
13012^482087+72623145123Enzo Doria04/2016
13022^482016-286565145102Enzo Doria07/2015
13032^481840+15145049Robert Price09/2015
13042^481801-481801145037Henri Lifchitz03/2005
13052^481775+1869083145029Enzo Doria05/2016
130629^99167+2145022Ray Chandler08/2011
13072^481663+1875653144996Enzo Doria07/2016
13082^481149-459073144841Enzo Doria05/2015
13092^481045-113215144809Enzo Doria07/2014
13102^480859-113695144753Enzo Doria09/2014
13112^480766-2787191144725Enzo Doria11/2015
1312(21*27^101106-151)/26144720Curtis Bright05/2015
13132^480678+1874239144699Enzo Doria06/2016
1314(8*10^144683+1)/9144683Serge Batalov05/2010
1315L(692147)144651Henri Lifchitz10/2008
13162^480417+35144620Robert Price11/2015
13172^480296-59879144584Enzo Doria10/2015
13182^479844+3144448Donovan Johnson06/2006
1319(27*2^479642+1)/733144386Lelio R Paula08/2015
1320(21*2^479605-1)/11144376Lelio R Paula09/2015
13212^479348-2792219144299Enzo Doria02/2016
13223^302389-6242144277Enzo Doria05/2014
13232*10^144220-3144221Robert Price07/2015
13242^478904-109109144165Enzo Doria04/2014
13252^478337-115333143994Enzo Doria07/2015
1326(7*2^478330-1)/3143993Lelio R Paula08/2015
132788^74047-87^74047143984Robert Price05/2015
13282^478088+27143919Robert Price11/2015
13292^477475-22071143735Enzo Doria07/2013
13302^477417-22123143717Enzo Doria07/2013
13312^477359-3577143700Yves Minet03/2017
13322^476936-396765143573Enzo Doria07/2013
13332^476888-2791229143558Enzo Doria01/2016
13342^476868-1859939143552Enzo Doria11/2015
13352^476558-113627143459Enzo Doria08/2014
1336(2^475854+9)/73143245Lelio R Paula08/2015
13372^475813-113239143234Enzo Doria07/2014
13382^475624-114059143178Enzo Doria11/2014
1339(11*2^475553-7)/15143156Renaud Lifchitz03/2011
13402^475480-2786129143134Enzo Doria10/2015
13412^475299-111937143080Enzo Doria05/2014
13422^475160-2797859143038Enzo Doria04/2016
1343(2^475069+3)/395143008Lelio R Paula08/2015
13442^475027-461437142998Enzo Doria07/2015
1345(2^474958+78557)/3142977Lelio R Paula07/2015
1346(11*2^474432-1)/95142818Lelio R Paula09/2015
13472^474417-59923142814Enzo Doria10/2015
1348(3*2^474166+1)/7142738Lelio R Paula08/2015
13492^474053+2897142705Lelio R Paula08/2012
1350(10^142699+359)/9142699Serge Batalov12/2014
1351898^48311-897^48311142676Jean-Louis Charton12/2012
13522^473740-1856639142610Enzo Doria09/2015
13532^473617-114223142573Enzo Doria12/2014
13542^473257+1873217142465Enzo Doria06/2016
1355(19*2^473242+1)/11142461Lelio R Paula09/2015
1356(10^142425+359)/9142425Serge Batalov12/2014
13572^473101+773027142418Enzo Doria05/2016
1358(13*2^472838-1)/3142340Lelio R Paula09/2015
1359(17*2^472789-1)/187347142320Lelio R Paula09/2015
13602^472634-109511142278Enzo Doria04/2014
1361(48^84589+1)/49142213Robert Price01/2014
13622^472258+7142164Lelio R Paula08/2015
1363tau(317^10330)142098Nik Lygeros / Olivier Rozier / LR team10/2013
1364(11*2^471913-1)/21142060Lelio R Paula09/2015
13652^471792+1880881142024Enzo Doria11/2016
1366(31*2^471580-1)/135141960Lelio R Paula08/2015
1367(904*19^110984-1)/3141924Curtis Bright05/2015
13684*5^202913-9141831Lelio R Paula04/2015
13692*7^167812-3141818Lelio R Paula12/2014
13702^471043+35141799Robert Price11/2015
1371(11*2^470956-1)/7945141770Lelio R Paula08/2015
13722^470692+76771141693Enzo Doria05/2016
1373(21*2^470391+1)/533141601Lelio R Paula09/2015
13742^470305-459373141576Enzo Doria05/2015
13752^470183+72623141540Enzo Doria04/2016
13762^470173-16465141537Enzo Doria04/2013
13772^469974-1841141477Enzo Doria05/2014
1378(23*2^469939+1)/25141466Lelio R Paula08/2015
13792^469630-59711141373Enzo Doria10/2015
1380(2^469564-3)/611141351Lelio R Paula08/2015
1381197^61601+2141342Lelio R Paula08/2017
13822^469372-112949141296Enzo Doria07/2014
1383143^(2^16)+106^(2^16)141253Valeryi Kuryshev02/2011
13842^469198+782569141243Enzo Doria10/2016
13852^469076-2786939141206Enzo Doria11/2015
13862^468804+1874941141125Enzo Doria06/2016
13872^468787+81353141119Enzo Doria08/2016
13882^468595-350407141062Enzo Doria06/2015
13892^468564+87855141052Lelio R Paula01/2016
13902^468551-21987141048Enzo Doria07/2013
13912^468523-7141040Lelio R Paula08/2015
13922^468405+87855141004Lelio R Paula01/2016
13932^467978-113051140876Enzo Doria07/2014
13942^467780-344429140816Enzo Doria07/2015
13952^467605-1855603140764Enzo Doria09/2015
13965*10^140744-7140745Robert Price09/2015
1397(5^201359-1)/4140744Paul Bourdelais12/2008
13982^467401-1850023140702Enzo Doria08/2015
1399(2^467270+78557)/23247140658Lelio R Paula07/2015
1400(29*2^467205+1)/2780517107140635Lelio R Paula08/2015
14012^467166-1854941140631Enzo Doria09/2015
14022^466866-1840571140541Enzo Doria06/2015
14032^466829-459523140530Enzo Doria05/2015
14042^466692-113213140489Enzo Doria07/2014
1405(112*10^140357-1)/3140359Serge Batalov12/2014
14062^466181-112735140335Enzo Doria07/2014
1407(27*2^465872+1)/691140241Lelio R Paula08/2015
14082^465803-114817140221Enzo Doria05/2015
1409floor(Pi*10^140344)%10^140165140165Serge Batalov08/2012
14102^465503-112735140131Enzo Doria07/2014
14116^179964+179964^6-1140040Robert Price04/2014
1412(29*2^465077-1)/9140003Lelio R Paula08/2015
14132^465072-344789140001Enzo Doria07/2015
1414(17^113621+1)/18139804Paul Bourdelais09/2011
1415(19*2^464312-1)/3139773Lelio R Paula08/2015
1416(31*2^463970+1)/5139670Lelio R Paula08/2015
14172^463633-2788423139568Enzo Doria11/2015
14182^463271-109501139459Enzo Doria04/2014
14192^463019+79463139383Enzo Doria06/2016
14203^292129-112756139381Enzo Doria07/2014
1421(15*2^462951+1)/527139361Lelio R Paula08/2015
14222^462855-1865707139334Enzo Doria02/2016
14232^462786-292043139313Enzo Doria08/2015
1424(26*10^139289+1)/9139290Serge Batalov05/2010
14252^462238-935139148Yves Minet02/2014
14262^461228+1870441138844Enzo Doria05/2016
14272^461204-113675138837Enzo Doria08/2014
1428(2^461139-7)/47138815Lelio R Paula08/2015
1429(17*2^460963+1)/124051613138757Lelio R Paula08/2015
14302^460567-113541138645Enzo Doria08/2014
14317*10^138604+3138605Robert Price08/2015
14322^460330+69138574Lelio R Paula09/2017
14332^460078-69581138498Enzo Doria12/2015
14342^459768+1531138404Lelio R Paula06/2012
14352^459343-113611138277Enzo Doria08/2014
14362^459199+1874393138233Enzo Doria06/2016
14372^459063-345307138192Enzo Doria06/2015
14382^458927-112747138151Enzo Doria06/2014
14392^458927-69217138151Enzo Doria11/2015
1440555555*2^458524+1513138036Darren Bedwell08/2009
14412^458465+2^32+1138012T. D. Noe06/2007
14422^458321-113053137969Enzo Doria07/2014
14432^458298+79459137962Enzo Doria06/2016
14442^458248-21815137947Enzo Doria07/2013
14452^458194+1876549137931Enzo Doria07/2016
14462^457937+57137853Lelio R Paula09/2017
14472^457822+105137819Donovan Johnson06/2006
14482^457754-113711137798Enzo Doria09/2014
144911^132315-360137792Enzo Doria09/2012
14502^457347-37137676Lelio R Paula09/2017
14512^457322-2786393137668Enzo Doria10/2015
1452gcd(Phi(699340,10),(10^34967+1)^3*(10^34967+1+10^17484)-(10^69934+10^34967)*(10^17484-1)+10^104901)137664Serge Batalov04/2015
14532^457240-59939137643Enzo Doria10/2015
14542^457120-21575137607Enzo Doria07/2013
1455(11*2^456978+1)/15137564Lelio R Paula07/2015
1456(7*25^98399+10613)/12137556Curtis Bright05/2015
14572^456796-113513137510Enzo Doria08/2014
1458(7*2^456655+1)/39137467Lelio R Paula07/2015
14592^456503-114361137422Enzo Doria01/2015
1460(11*2^456387+1)/19137386Lelio R Paula07/2015
1461(71*10^137250+1)/9137251Serge Batalov05/2010
14622^455922+76249137247Enzo Doria05/2016
146314^119741-119741^14137239Serge Batalov04/2016
1464(19*2^455760+1)/3455137196Lelio R Paula07/2015
1465124^(2^16)+57^(2^16)137195Valeryi Kuryshev02/2011
14662^455689+72677137177Enzo Doria04/2016
1467(17948!)^2+Prime(17948)137118Robert Price08/2014
1468(37^87421-1)/36137093Robert Price03/2012
14692^455323-57137066Lelio R Paula09/2017
1470(73*17^111333-9)/16136991Curtis Bright05/2015
14712^455025-112723136977Enzo Doria06/2014
14722^454675-1777136871Yves Minet10/2011
1473(6092*28^94536-143)/9136812Curtis Bright05/2015
14742^454348-53136773Lelio R Paula09/2017
147531^91680-2136729Lelio R Paula05/2017
14762^454199-113697136728Enzo Doria09/2014
14772^453935-2791357136649Enzo Doria01/2016
14782^453906-69131136640Enzo Doria11/2015
14792^453791+1873913136605Enzo Doria06/2016
1480(21*2^453740-1)/2735136588Lelio R Paula07/2015
14812^453503-2788297136519Enzo Doria11/2015
14822^453267-113827136447Enzo Doria09/2014
14832^453102+1877629136398Enzo Doria08/2016
1484L(651821)136223Henri Lifchitz09/2008
14852^452460+77701136205Enzo Doria05/2016
14862^452440-114755136199Enzo Doria04/2015
1487(2^451956-5)/181136051Lelio R Paula07/2015
14882^451947-22165136050Enzo Doria07/2013
14892^451787-21805136002Enzo Doria07/2013
14902^451734-112817135986Enzo Doria06/2014
1491(11*2^451714+1)/75135979Lelio R Paula07/2015
14922^451705-21879135977Enzo Doria07/2013
14932^451560-112349135934Enzo Doria06/2014
14942^451530+45135925Lelio R Paula08/2017
14952^451450-21743135900Enzo Doria07/2013
14962^450805+65135706Lelio R Paula08/2017
1497(13725^32768+1)/131074135573Lelio R Paula03/2012
1498(5^193939+1)/6135557Paul Bourdelais12/2008
14992^449944-113247135447Enzo Doria07/2014
15002^449770-113247135395Enzo Doria07/2014


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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: September, 14 2017 17:05 (Time in France)

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