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.
| Rank | Prime | Digits | Date | Name | Team |
|---|---|---|---|---|---|
| 51 | 4*721119849-1 | 2079933 | Sep 16 | Ralfy | BOINC Confederation |
| 116 | 68*995465908-1 | 1396712 | Jul 17 | Ralfy | BOINC Confederation |
| 139 | 172*159561319-1 | 1235689 | Aug 17 | denravonska | Gridcoin |
| 141 | 39653*430460397-1 | 1212446 | Aug 16 | Odicin | BOINC Confederation |
| 144 | 12*68656921+1 | 1203815 | Apr 16 | cpuid | Seti.Germany |
| 145 | 67*688423893+1 | 1202836 | Jun 17 | Franck Levayer | L'Alliance Francophone |
| 154 | 30*514424652-1 | 1151218 | Sep 17 | Deltek | Gridcoin |
| 189 | 81*492399095-1 | 1074352 | Dec 15 | Mumps [MM] | SETI.USA |
| 272 | 24*414391179+1 | 1023717 | Jan 16 | ardo | PrimeSearchTeam |
| 370 | 139413*61279992+1 | 996033 | Aug 15 | Grey | Russia |
| 387 | 6*409369832+1 | 965900 | Jul 15 | Grey | Russia |
| 391 | 34* 888326732-1 | 963343 | Apr 17 | Andreas64 | Teamless |
| 415 | 766* 33610412+1 | 926923 | Apr 16 | nenym | Czech National Team |
| 419 | 14844*430350980-1 | 924299 | May 16 | scrap | Securiteinfo.com |
| 457 | 29*564326765+1 | 899024 | Jul 17 | grcpool | Gridcoin |
| 610 | 2*218333925+1 | 780870 | Oct 17 | LCB001 | Hardware Canucks |
| 776 | 12362*1027240890-1 | 725462 | Jan 18 | Ralfy | BOINC Confederation |
| 795 | 40*844246524+1 | 721416 | Jan 18 | conf [MM] | SETI.USA |
| 892 | 842*1017230634-1 | 693594 | Nov 17 | Cruncher Pete | BlackOps |
| 906 | 74270*151315734-1 | 687982 | May 18 | bluebite | Gridcoin |
| 938 | 275102*151311399-1 | 678537 | May 18 | Charity Engine | Gridcoin |
| 952 | 144912*151310514-1 | 676609 | May 18 | Charity Engine | Gridcoin |
| 964 | 164978*151309413-1 | 674210 | May 18 | grcpool | Gridcoin |
| 965 | 146*447254042-1 | 673292 | May 18 | grcpool | Gridcoin |
| 1027 | 10880*151302997-1 | 660228 | May 18 | Sphynx | SETI.USA |
| 1029 | 202064*151302700-1 | 659582 | May 18 | grcpool | Gridcoin |
| 1041 | 193020*151301686-1 | 657373 | May 18 | grcpool | Gridcoin |
| 1081 | 40*1017215605+1 | 648396 | Jan 18 | marmot | Gridcoin |
| 1114 | 78792*151294324-1 | 641331 | May 18 | lusvladimir2 | Gridcoin |
| 1161 | 14172* 1027209226-1 | 630103 | Jan 18 | grcpool | Gridcoin |
| 1163 | 68*920212407+1 | 629532 | Apr 17 | Bryan | SETI.USA |
| 1201 | 19062*1027206877-1 | 623029 | Jan 18 | Ralfy | BOINC Confederation |
| 1214 | 128448*151284308-1 | 619506 | May 18 | tytan15 | Gridcoin |
| 1222 | 318564*151283711-1 | 618206 | May 18 | Ralfy | BOINC Confederation |
| 1223 | 178998*151283702-1 | 618186 | May 18 | Cocagne | L'Alliance Francophone |
| 1238 | 216848*151282017-1 | 614514 | May 18 | Deltek | Gridcoin |
| 1239 | 104*579222402-1 | 614428 | Jun 18 | JD2K | Gridcoin |
| 1254 | 293028*151280273-1 | 610714 | May 18 | grcpool | Gridcoin |
| 1259 | 122112*151279966-1 | 610045 | May 18 | [AF>Libristes] MortelKni | L'Alliance Francophone |
| 1271 | 5678*1027202018-1 | 608396 | Jan 18 | Dudebaker | Gridcoin |
| 1281 | 126*523222906-1 | 605973 | May 17 | ERBrouwer | Dutch Power Cows |
| 1308 | 343388*151276191-1 | 601820 | May 18 | Deltek | Gridcoin |
| 1316 | 68398*1027199397+1 | 600503 | Jan 18 | Charity Engine | Gridcoin |
| 1329 | 508*1017199220-1 | 599122 | Nov 17 | Deltek | Gridcoin |
| 1341 | 6292*1027198459+1 | 597678 | Jan 18 | Charity Engine | Gridcoin |
| 1350 | 245478*151273168-1 | 595233 | May 18 | avahi | Gridcoin |
| 1372 | 101594*151271697-1 | 592027 | May 18 | USTL-FIL (Lille Fr) | L'Alliance Francophone |
| 1391 | 6326*333233552+1 | 589126 | Mar 17 | Unknown | Unknown |
| 1403 | 188378*151269725-1 | 587730 | May 18 | Dariusz Kozlowski | Gridcoin |
| 1422 | 30364*1027194319+1 | 585210 | Jan 18 | LCB001 | Hardware Canucks |
| 1437 | 17702*1027193732-1 | 583442 | Jan 18 | Deltek | Gridcoin |
| 1441 | 34910*430221380-1 | 583002 | Oct 15 | Mumps [MM] | SETI.USA |
| 1443 | 56064*1027193573+1 | 582964 | Jan 18 | Deltek | Gridcoin |
| 1448 | 14172*1027193213-1 | 581879 | Jan 18 | grcpool | Gridcoin |
| 1468 | 280992*151265553-1 | 578640 | May 18 | TheGood Reverend | Gridcoin |
| 1476 | 75492*151264966-1 | 577360 | May 18 | Ralfy | BOINC Confederation |
| 1484 | 63348*1027191392+1 | 576396 | Jan 18 | Charity Engine | Gridcoin |
| 1485 | 93788*151264402-1 | 576131 | May 18 | wmax | Gridcoin |
| 1487 | 80618*151264291-1 | 575889 | May 18 | Bencha | Gridcoin |
| 1489 | 72844*1027191206+1 | 575836 | Jan 18 | Extra Ball | L'Alliance Francophone |
| 1505 | 271562*151262431-1 | 571837 | May 18 | grcpool | Gridcoin |
| 1507 | 4806*37364466-1 | 571560 | May 15 | bcavnaugh | Crunching@EVGA |
| 1524 | 22*615203539-1 | 567647 | Feb 18 | grcpool | Gridcoin |
| 1534 | 46498*1027187913+1 | 565918 | Jan 18 | Charity Engine | Gridcoin |
| 1580 | 11726*1027185913-1 | 559895 | Jan 18 | grcpool | Gridcoin |
| 1588 | 296990*151256535-1 | 558990 | May 18 | Deltek | Gridcoin |
| 1597 | 3161*618199877+1 | 557858 | Jan 18 | lanofsong | Overclock.net |
| 1610 | 73246*1027184192+1 | 554713 | Jan 18 | Charity Engine | Gridcoin |
| 1622 | 28*392213295-1 | 553137 | Sep 17 | Unknown | Unknown |
| 1632 | 3748*333218908+1 | 552187 | Mar 17 | Excelsior | Gridcoin |
| 1635 | 121458*151253264-1 | 551862 | May 18 | grcpool | Gridcoin |
| 1644 | 63708*151252785-1 | 550818 | May 18 | Dudebaker | Gridcoin |
| 1676 | 18092*565198465-1 | 546190 | Mar 17 | Marko | Gridcoin |
| 1711 | 33910*1027179973+1 | 542006 | Jan 18 | Deltek | Gridcoin |
| 1720 | 1712*333214484+1 | 541028 | Mar 17 | Excelsior | Gridcoin |
| 1724 | 174*643192540-1 | 540696 | Feb 18 | grcpool | Gridcoin |
| 1727 | 11682*1027179399+1 | 540277 | Jan 18 | grcpool | Gridcoin |
| 1729 | 14172*1027179381-1 | 540223 | Jan 18 | grcpool | Gridcoin |
| 1736 | 1223*618193431+1 | 539867 | Jan 18 | Charity Engine | Gridcoin |
| 1757 | 179114*151246711-1 | 537583 | May 18 | Deltek | Gridcoin |
| 1760 | 117134*151246492-1 | 537106 | May 18 | talsit | Gridcoin |
| 1763 | 3098*565195049-1 | 536788 | Mar 17 | terminet3 | Gridcoin |
| 1813 | 62176*1027175956+1 | 529909 | Jan 18 | grcpool | Gridcoin |
| 1855 | 158670*151241039-1 | 525224 | May 18 | nicola.driutti | Gridcoin |
| 1857 | 325034*151240969-1 | 525072 | May 18 | nealeb4zod | Gridcoin |
| 1883 | 111*618187244+1 | 522598 | Jan 18 | Ralfy | BOINC Confederation |
| 1890 | 53184*1027173223+1 | 521678 | Jan 18 | wmax | Gridcoin |
| 1915 | 84114*151238241-1 | 519127 | May 18 | grcpool | Gridcoin |
| 1940 | 70714*1027171342+1 | 516014 | Jan 18 | Charity Engine | Gridcoin |
| 1975 | 49204*1027170070+1 | 512183 | Jan 18 | jeanbig | Gridcoin |
| 1981 | 2428*333202852+1 | 511687 | Mar 17 | Mxmlln | Gridcoin |
| 1992 | 27264*151234276-1 | 510487 | May 18 | Ralfy | BOINC Confederation |
| 1995 | 141068*151234228-1 | 510383 | May 18 | grcpool | Gridcoin |
| 2004 | 79672*1027168996+1 | 508949 | Jan 18 | Charity Engine | Gridcoin |
| 2007 | 273428*151233164-1 | 508065 | May 18 | grcpool | Gridcoin |
| 2030 | 2369*618180975+1 | 505103 | Jan 18 | Charity Engine | Gridcoin |
| 2037 | 220634*151231725-1 | 504929 | May 18 | grcpool | Gridcoin |
| 2044 | 122*806173475+1 | 504179 | Jan 17 | [AF>Amis des Lapins] Nabz37 | L'Alliance Francophone |
| 2073 | 10198*1027166366+1 | 501027 | Jan 18 | Deltek | Gridcoin |
| 2114 | 1846*333197100+1 | 497178 | Mar 17 | Unknown | Unknown |
| 2124 | 37044*1027164997+1 | 496905 | Jan 18 | Ralfy | BOINC Confederation |
| 2128 | 1383*430188603-1 | 496684 | Sep 15 | Odicin | BOINC Confederation |
| 2145 | 146*447187198-1 | 496135 | May 18 | Woodles | UK BOINC Team |
| 2151 | 283824*151227580-1 | 495898 | May 18 | tytan15 | Gridcoin |
| 2157 | 57054*1027164579+1 | 495647 | Jan 18 | Charity Engine | Gridcoin |
| 2295 | 1614*151224194-1 | 488517 | May 18 | Ralfy | BOINC Confederation |
| 2302 | 65716*1027162025+1 | 487955 | Jan 18 | Charity Engine | Gridcoin |
| 2351 | 343464*151222581-1 | 485005 | May 18 | nealeb4zod | Gridcoin |
| 2378 | 331530*151221876-1 | 483469 | May 18 | wmax | Gridcoin |
| 2391 | 106*564175330+1 | 482384 | Jun 17 | jaibenz | Gridcoin |
| 2411 | 27*220205486+1 | 481337 | Jun 16 | Mankka* | Sicituradastra. |
| 2413 | 93*872163674-1 | 481289 | Sep 16 | [SG-FC] hl | SETI.Germany |
| 2456 | 315002*151219911-1 | 479187 | May 18 | Charity Engine | Gridcoin |
| 2476 | 44*872162680-1 | 478365 | Sep 16 | [SG-FC] hl | SETI.Germany |
| 2480 | 33834*151219386-1 | 478042 | May 18 | grcpool | Gridcoin |
| 2498 | 4056*703167545-1 | 476997 | Nov 16 | Unknown | Unknown |
| 2508 | 6326*333188895+1 | 476481 | Mar 17 | zenithlight | Gridcoin |
| 2516 | 10038*1027158056+1 | 476001 | Jan 18 | grcpool | Gridcoin |
| 2521 | 40962*1027157930+1 | 475622 | Jan 18 | Charity Engine | Gridcoin |
| 2539 | 1712*333188252+1 | 474859 | Mar 17 | Unknown | Unknown |
| 2585 | 33910*1027156522+1 | 471382 | Jan 18 | Deltek | Gridcoin |
| 2591 | 340020*151216036-1 | 470743 | May 18 | grcpool | Gridcoin |
| 2603 | 137132*151215769-1 | 470161 | May 18 | grcpool | Gridcoin |
| 2623 | 262904*151214927-1 | 468327 | May 18 | Deltek | Gridcoin |
| 2627 | 15876*1027155415-1 | 468048 | Jan 18 | grcpool | Gridcoin |
| 2640 | 327542*151214253-1 | 466858 | May 18 | grcpool | Gridcoin |
| 2646 | 71730*1027154816+1 | 466245 | Jan 18 | Deltek | Gridcoin |
| 2657 | 63428*151213670-1 | 465587 | May 18 | grcpool | Gridcoin |
| 2668 | 243828*151213445-1 | 465098 | May 18 | orbitriber | Gridcoin |
| 2674 | 63642*1027154283+1 | 464639 | Jan 18 | lanofsong | Overclock.net |
| 2692 | 93930*151212532-1 | 463108 | May 18 | grcpool | Gridcoin |
| 2704 | 16260*565167947-1 | 462203 | Mar 17 | jab_au | Gridcoin |
| 2720 | 146280*151211496-1 | 460851 | May 18 | grcpool | Gridcoin |
| 2724 | 2484*333182603+1 | 460610 | Mar 17 | Ralfy | BOINC Confederation |
| 2738 | 171588*151210942-1 | 459643 | May 18 | orbitriber | Gridcoin |
| 2747 | 66048*1027152369+1 | 458875 | Jan 18 | grcpool | Gridcoin |
| 2770 | 11508*1027151846+1 | 457299 | Jan 18 | Neffers | Gridcoin |
| 2791 | 293418*151209141-1 | 455719 | May 18 | grcpool | Gridcoin |
| 2811 | 176454*151208611-1 | 454564 | May 18 | Bird-Dog | Calm Chaos |
| 2814 | 5376*37289738-1 | 454372 | May 15 | Fernando Miguel | Teamless |
| 2841 | 19512*1027150245-1 | 452478 | Jan 18 | Deltek | Gridcoin |
| 2846 | 163*806155542+1 | 452060 | Jan 17 | damotbe | L'Alliance Francophone |
| 2868 | 69*28311336-1 | 450555 | Dec 14 | Unknown | Unknown |
| 2886 | 1649*618161163+1 | 449808 | Jan 18 | Charity Engine | Gridcoin |
| 2907 | 4304*1027149224-1 | 449403 | Jan 18 | grcpool | Gridcoin |
| 2958 | 12902*565162944-1 | 448434 | Mar 17 | Odicin | BOINC Confederation |
| 2968 | 114*579162252-1 | 448253 | Jun 18 | LifeEncrypter | Gridcoin |
| 2986 | 46674*1027148671+1 | 447738 | Dec 17 | Ralfy | BOINC Confederation |
| 3132 | 238758*151203975-1 | 444463 | May 18 | Theadalus | Dutch Power Cows |
| 3161 | 9535278*15377431-1 | 443901 | Mar 17 | Unknown | Unknown |
| 3175 | 93930*151203583-1 | 443608 | May 18 | MisterStingy | Gridcoin |
| 3226 | 269858*151203101-1 | 442558 | May 18 | Deltek | Gridcoin |
| 3264 | 9535278*15375675-1 | 441836 | Mar 17 | Woodles | UK BOINC Team |
| 3285 | 76672*1027146555+1 | 441366 | Dec 17 | grcpool | Gridcoin |
| 3368 | 14104*1027145834+1 | 439194 | Dec 17 | nealeb4zod | Gridcoin |
| 3382 | 38194*1027145725+1 | 438866 | Dec 17 | Dutch | Gridcoin |
| 3427 | 33570*430166163-1 | 437590 | Sep 15 | Alexis Kravtchenko | Ukraine |
| 3734 | 33450*102743193+1 | 431241 | Dec 17 | 4bc3 | Czech National Team |
| 3749 | 53334*151197789-1 | 430983 | Feb 18 | grcpool | Gridcoin |
| 3782 | 259410*151197494-1 | 430341 | Feb 18 | corris | Mosi-oa-Tunya |
| 3837 | 31235*430162872-1 | 428923 | Sep 15 | Mumps [MM] | SETI.USA |
| 3926 | 1140*1021141905+1 | 426999 | Mar 17 | Excelsior | Gridcoin |
| 4025 | 5354*55244064-1 | 424764 | Jul 15 | Grey | Russia |
| 4091 | 852*618151612+1 | 423151 | Jan 18 | Charity Engine | Gridcoin |
| 4120 | 24153*430160500-1 | 422677 | Sep 15 | Mumps [MM] | SETI.USA |
| 4140 | 176112*151193747-1 | 422176 | Feb 18 | mcf2020 | Teamless |
| 4180 | 107144*151193349-1 | 421309 | Feb 18 | grcpool | Gridcoin |
| 4303 | 65360*151192163-1 | 418724 | Feb 18 | Ralfy | BOINC Confederation |
| 4343 | 1678*1021138869+1 | 417864 | Mar 17 | Excelsior | Gridcoin |
| 4375 | 120*1021138704+1 | 417366 | Mar 17 | Excelsior | Gridcoin |
| 4385 | 66382*1027138508+1 | 417132 | Dec 17 | Charity Engine | Gridcoin |
| 4449 | 37978*1027138081+1 | 415846 | Dec 17 | Charity Engine | Gridcoin |
| 4538 | 542*1017137766-1 | 414310 | Nov 17 | Alez | The Scottish Boinc Team |
| 4546 | 1846*333164232+1 | 414270 | Mar 17 | Odicin | BOINC Confederation |
| 4556 | 104960*151190034-1 | 414085 | Feb 18 | Ralfy | BOINC Confederation |
| 4558 | 39614*151190018-1 | 414050 | Feb 18 | 4bc3 | Czech National Team |
| 4587 | 20328*1027137290+1 | 413463 | Dec 17 | Durendal | Gridcoin |
| 4595 | 104960*151189665-1 | 413281 | Feb 18 | grcpool | Gridcoin |
| 4753 | 12596*565149039-1 | 410167 | Mar 17 | psychu | Gridcoin |
| 4790 | 68*618146688+1 | 409407 | Jan 18 | Charity Engine | Gridcoin |
| 4839 | 3347624*15347109-1 | 408239 | Mar 17 | 47an | Gridcoin |
| 4907 | 82*821139686+1 | 407095 | Mar 16 | Mankka* | Sicituradastra. |
| 4996 | 258942*151185970-1 | 405230 | Feb 18 | Ralfy | BOINC Confederation |
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.
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Image source: Header image, Gridcoin logo, BOINC logo