SRBase entries in Chris Caldwell's TOP5000 largest known primes database

in #steemstem • 6 years ago (edited)


SRBase is a mathematical research project that uses Internet-connected computers trying to solve Sierpinski / Riesel Bases up to 1030. The project is in collaboration with the Mersenne CRUS project. SRBase uses BOINC to distribute work-units to linked computers and has currently 409 active participants to solve this challenge.

Introduction


Two weeks ago I reported the discovery of prime 104*579^222402-1 for SRBase, which entered the TOP5000 in Chris Caldwell's The Largest Known Primes Database. In the past 3 years SRBase has produced other primes that entered the TOP5000 but unfortunately there is no combined overview with all these primes (similar to PrimeGrid Mega Primes). This gave me the idea to create one.

Approach


I took the following approach to develop the table:

  • All TOP5000 primes are published in various postings on the project Messages board. While browsing through all threads, I gathered the TOP5000 primes plus users who produced them.
  • Then I matched these primes with Chris K. Caldwell’s database to find the current ranking, the number of digits and when they were discovered.
  • Finally I collected the team details for each person on the SRBase search portal.

Based on this information I compiled the table below.

Results


Currently there are 183 primes registered in the TOP5000 with team Gridcoin as the largest contributor (60% of all primes).

In the table below you will find per line the prime, the current ranking, the length of the prime in number of digits, when it was discovered, by whom and in which team he/she is participating.

RankPrimeDigitsDateNameTeam
514*721119849-12079933Sep 16RalfyBOINC Confederation
11668*995465908-11396712Jul 17RalfyBOINC Confederation
139172*159561319-11235689Aug 17denravonskaGridcoin
14139653*430460397-11212446Aug 16OdicinBOINC Confederation
14412*68656921+11203815Apr 16cpuidSeti.Germany
14567*688423893+11202836Jun 17Franck LevayerL'Alliance Francophone
15430*514424652-11151218Sep 17DeltekGridcoin
18981*492399095-11074352Dec 15Mumps [MM]SETI.USA
27224*414391179+11023717Jan 16ardoPrimeSearchTeam
370139413*61279992+1996033Aug 15GreyRussia
3876*409369832+1965900Jul 15GreyRussia
39134* 888326732-1963343Apr 17Andreas64Teamless
415766* 33610412+1926923Apr 16nenymCzech National Team
41914844*430350980-1924299May 16scrapSecuriteinfo.com
45729*564326765+1899024Jul 17grcpoolGridcoin
6102*218333925+1780870Oct 17LCB001Hardware Canucks
77612362*1027240890-1725462Jan 18RalfyBOINC Confederation
79540*844246524+1721416Jan 18conf [MM]SETI.USA
892842*1017230634-1693594Nov 17Cruncher PeteBlackOps
90674270*151315734-1687982May 18bluebiteGridcoin
938275102*151311399-1678537May 18Charity EngineGridcoin
952144912*151310514-1676609May 18Charity EngineGridcoin
964164978*151309413-1674210May 18grcpoolGridcoin
965146*447254042-1673292May 18grcpoolGridcoin
102710880*151302997-1660228May 18SphynxSETI.USA
1029202064*151302700-1659582May 18grcpoolGridcoin
1041193020*151301686-1657373May 18grcpoolGridcoin
108140*1017215605+1648396Jan 18marmotGridcoin
111478792*151294324-1641331May 18lusvladimir2Gridcoin
116114172* 1027209226-1630103Jan 18grcpoolGridcoin
116368*920212407+1629532Apr 17BryanSETI.USA
120119062*1027206877-1623029Jan 18RalfyBOINC Confederation
1214128448*151284308-1619506May 18tytan15Gridcoin
1222318564*151283711-1618206May 18RalfyBOINC Confederation
1223178998*151283702-1618186May 18CocagneL'Alliance Francophone
1238216848*151282017-1614514May 18DeltekGridcoin
1239104*579222402-1614428Jun 18JD2KGridcoin
1254293028*151280273-1610714May 18grcpoolGridcoin
1259122112*151279966-1610045May 18[AF>Libristes] MortelKniL'Alliance Francophone
12715678*1027202018-1608396Jan 18DudebakerGridcoin
1281126*523222906-1605973May 17ERBrouwerDutch Power Cows
1308343388*151276191-1601820May 18DeltekGridcoin
131668398*1027199397+1600503Jan 18Charity EngineGridcoin
1329508*1017199220-1599122Nov 17DeltekGridcoin
13416292*1027198459+1597678Jan 18Charity EngineGridcoin
1350245478*151273168-1595233May 18avahiGridcoin
1372101594*151271697-1592027May 18USTL-FIL (Lille Fr)L'Alliance Francophone
13916326*333233552+1589126Mar 17UnknownUnknown
1403188378*151269725-1587730May 18Dariusz KozlowskiGridcoin
142230364*1027194319+1585210Jan 18LCB001Hardware Canucks
143717702*1027193732-1583442Jan 18DeltekGridcoin
144134910*430221380-1583002Oct 15Mumps [MM]SETI.USA
144356064*1027193573+1582964Jan 18DeltekGridcoin
144814172*1027193213-1581879Jan 18grcpoolGridcoin
1468280992*151265553-1578640May 18TheGood ReverendGridcoin
147675492*151264966-1577360May 18RalfyBOINC Confederation
148463348*1027191392+1576396Jan 18Charity EngineGridcoin
148593788*151264402-1576131May 18wmaxGridcoin
148780618*151264291-1575889May 18BenchaGridcoin
148972844*1027191206+1575836Jan 18Extra BallL'Alliance Francophone
1505271562*151262431-1571837May 18grcpoolGridcoin
15074806*37364466-1571560May 15bcavnaughCrunching@EVGA
152422*615203539-1567647Feb 18grcpoolGridcoin
153446498*1027187913+1565918Jan 18Charity EngineGridcoin
158011726*1027185913-1559895Jan 18grcpoolGridcoin
1588296990*151256535-1558990May 18DeltekGridcoin
15973161*618199877+1557858Jan 18lanofsongOverclock.net
161073246*1027184192+1554713Jan 18Charity EngineGridcoin
162228*392213295-1553137Sep 17UnknownUnknown
16323748*333218908+1552187Mar 17ExcelsiorGridcoin
1635121458*151253264-1551862May 18grcpoolGridcoin
164463708*151252785-1550818May 18DudebakerGridcoin
167618092*565198465-1546190Mar 17MarkoGridcoin
171133910*1027179973+1542006Jan 18DeltekGridcoin
17201712*333214484+1541028Mar 17ExcelsiorGridcoin
1724174*643192540-1540696Feb 18grcpoolGridcoin
172711682*1027179399+1540277Jan 18grcpoolGridcoin
172914172*1027179381-1540223Jan 18grcpoolGridcoin
17361223*618193431+1539867Jan 18Charity EngineGridcoin
1757179114*151246711-1537583May 18DeltekGridcoin
1760117134*151246492-1537106May 18talsitGridcoin
17633098*565195049-1536788Mar 17terminet3Gridcoin
181362176*1027175956+1529909Jan 18grcpoolGridcoin
1855158670*151241039-1525224May 18nicola.driuttiGridcoin
1857325034*151240969-1525072May 18nealeb4zodGridcoin
1883111*618187244+1522598Jan 18RalfyBOINC Confederation
189053184*1027173223+1521678Jan 18wmaxGridcoin
191584114*151238241-1519127May 18grcpoolGridcoin
194070714*1027171342+1516014Jan 18Charity EngineGridcoin
197549204*1027170070+1512183Jan 18jeanbigGridcoin
19812428*333202852+1511687Mar 17MxmllnGridcoin
199227264*151234276-1510487May 18RalfyBOINC Confederation
1995141068*151234228-1510383May 18grcpoolGridcoin
200479672*1027168996+1508949Jan 18Charity EngineGridcoin
2007273428*151233164-1508065May 18grcpoolGridcoin
20302369*618180975+1505103Jan 18Charity EngineGridcoin
2037220634*151231725-1504929May 18grcpoolGridcoin
2044122*806173475+1504179Jan 17[AF>Amis des Lapins] Nabz37L'Alliance Francophone
207310198*1027166366+1501027Jan 18DeltekGridcoin
21141846*333197100+1497178Mar 17UnknownUnknown
212437044*1027164997+1496905Jan 18RalfyBOINC Confederation
21281383*430188603-1496684Sep 15OdicinBOINC Confederation
2145146*447187198-1496135May 18WoodlesUK BOINC Team
2151283824*151227580-1495898May 18tytan15Gridcoin
215757054*1027164579+1495647Jan 18Charity EngineGridcoin
22951614*151224194-1488517May 18RalfyBOINC Confederation
230265716*1027162025+1487955Jan 18Charity EngineGridcoin
2351343464*151222581-1485005May 18nealeb4zodGridcoin
2378331530*151221876-1483469May 18wmaxGridcoin
2391106*564175330+1482384Jun 17jaibenzGridcoin
241127*220205486+1481337Jun 16Mankka*Sicituradastra.
241393*872163674-1481289Sep 16[SG-FC] hlSETI.Germany
2456315002*151219911-1479187May 18Charity EngineGridcoin
247644*872162680-1478365Sep 16[SG-FC] hlSETI.Germany
248033834*151219386-1478042May 18grcpoolGridcoin
24984056*703167545-1476997Nov 16UnknownUnknown
25086326*333188895+1476481Mar 17zenithlightGridcoin
251610038*1027158056+1476001Jan 18grcpoolGridcoin
252140962*1027157930+1475622Jan 18Charity EngineGridcoin
25391712*333188252+1474859Mar 17UnknownUnknown
258533910*1027156522+1471382Jan 18DeltekGridcoin
2591340020*151216036-1470743May 18grcpoolGridcoin
2603137132*151215769-1470161May 18grcpoolGridcoin
2623262904*151214927-1468327May 18DeltekGridcoin
262715876*1027155415-1468048Jan 18grcpoolGridcoin
2640327542*151214253-1466858May 18grcpoolGridcoin
264671730*1027154816+1466245Jan 18DeltekGridcoin
265763428*151213670-1465587May 18grcpoolGridcoin
2668243828*151213445-1465098May 18orbitriberGridcoin
267463642*1027154283+1464639Jan 18lanofsongOverclock.net
269293930*151212532-1463108May 18grcpoolGridcoin
270416260*565167947-1462203Mar 17jab_auGridcoin
2720146280*151211496-1460851May 18grcpoolGridcoin
27242484*333182603+1460610Mar 17RalfyBOINC Confederation
2738171588*151210942-1459643May 18orbitriberGridcoin
274766048*1027152369+1458875Jan 18grcpoolGridcoin
277011508*1027151846+1457299Jan 18NeffersGridcoin
2791293418*151209141-1455719May 18grcpoolGridcoin
2811176454*151208611-1454564May 18Bird-DogCalm Chaos
28145376*37289738-1454372May 15Fernando MiguelTeamless
284119512*1027150245-1452478Jan 18DeltekGridcoin
2846163*806155542+1452060Jan 17damotbeL'Alliance Francophone
286869*28311336-1450555Dec 14UnknownUnknown
28861649*618161163+1449808Jan 18Charity EngineGridcoin
29074304*1027149224-1449403Jan 18grcpoolGridcoin
295812902*565162944-1448434Mar 17OdicinBOINC Confederation
2968114*579162252-1448253Jun 18LifeEncrypterGridcoin
298646674*1027148671+1447738Dec 17RalfyBOINC Confederation
3132238758*151203975-1444463May 18TheadalusDutch Power Cows
31619535278*15377431-1443901Mar 17UnknownUnknown
317593930*151203583-1443608May 18MisterStingyGridcoin
3226269858*151203101-1442558May 18DeltekGridcoin
32649535278*15375675-1441836Mar 17WoodlesUK BOINC Team
328576672*1027146555+1441366Dec 17grcpoolGridcoin
336814104*1027145834+1439194Dec 17nealeb4zodGridcoin
338238194*1027145725+1438866Dec 17DutchGridcoin
342733570*430166163-1437590Sep 15Alexis KravtchenkoUkraine
373433450*102743193+1431241Dec 174bc3Czech National Team
374953334*151197789-1430983Feb 18grcpoolGridcoin
3782259410*151197494-1430341Feb 18corrisMosi-oa-Tunya
383731235*430162872-1428923Sep 15Mumps [MM]SETI.USA
39261140*1021141905+1426999Mar 17ExcelsiorGridcoin
40255354*55244064-1424764Jul 15GreyRussia
4091852*618151612+1423151Jan 18Charity EngineGridcoin
412024153*430160500-1422677Sep 15Mumps [MM]SETI.USA
4140176112*151193747-1422176Feb 18mcf2020Teamless
4180107144*151193349-1421309Feb 18grcpoolGridcoin
430365360*151192163-1418724Feb 18RalfyBOINC Confederation
43431678*1021138869+1417864Mar 17ExcelsiorGridcoin
4375120*1021138704+1417366Mar 17ExcelsiorGridcoin
438566382*1027138508+1417132Dec 17Charity EngineGridcoin
444937978*1027138081+1415846Dec 17Charity EngineGridcoin
4538542*1017137766-1414310Nov 17AlezThe Scottish Boinc Team
45461846*333164232+1414270Mar 17OdicinBOINC Confederation
4556104960*151190034-1414085Feb 18RalfyBOINC Confederation
455839614*151190018-1414050Feb 184bc3Czech National Team
458720328*1027137290+1413463Dec 17DurendalGridcoin
4595104960*151189665-1413281Feb 18grcpoolGridcoin
475312596*565149039-1410167Mar 17psychuGridcoin
479068*618146688+1409407Jan 18Charity EngineGridcoin
48393347624*15347109-1408239Mar 1747anGridcoin
490782*821139686+1407095Mar 16Mankka*Sicituradastra.
4996258942*151185970-1405230Feb 18RalfyBOINC Confederation

(Data source: 1 and 2)

Conclusion


With a limited number of participants and being a CPU only project, SRBase has a substantial number of primes in the TOP5000.
There are 7 primes in the table above without user-name and team which I have marked as Unknown. In case you know who has found these primes please let me know and I will amend the table accordingly.

Gridcoin is an open source cryptocurrency (Ticker: GRC) which securely rewards volunteer computing performed upon the BOINC platform in a decentralized manner on top of proof of stake.

BOINC (Berkeley Open Infrastructure for Network Computing) is a distributed Internet platform and was launched beginning of 2002 and it rewards participants with credits for performed work. BOINC is an application available for multiple Operating Systems and uses the unused CPU and GPU cycles on computers to perform scientific work.

Thanks for reading. Follow me for more BOINC & Gridcoin related articles.

Image source: Header image, Gridcoin logo, BOINC logo

#gridcoin #boinc #mathematics #science
6 years ago in #steemstem by
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     6 years ago 

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      It looks so interesting

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