Knowledge (XXG)

PrimeGrid

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PrimeGrid awards badges to users in recognition of achieving certain defined levels of credit for work done. The badges have no intrinsic value but are valued by many as a sign of achievement. The issuing of badges should also benefit PrimeGrid by evening out the participation in the less popular sub
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trying to factor RSA-640. After RSA-640 was factored by an outside team in November 2005, the project moved on to RSA-768. With the chance to succeed too small, it discarded the RSA challenges, was renamed to PrimeGrid, and started generating a list of the first prime numbers. At 210,000,000,000 the
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0, 1, 2, 3, 4, 6, 7, 11, 18, 34, 38, 43, 55, 64, 76, 94, 103, 143, 206, 216, 306, 324, 391, 458, 470, 827, 1274, 3276, 4204, 5134, 7559, 12676, 14898, 18123, 18819, 25690, 26459, 41628, 51387, 71783, 80330, 85687, 88171, 97063, 123630, 155930, 164987, 234760, 414840, 584995, 702038, 727699, 992700,
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1, 2, 5, 6, 8, 12, 18, 30, 36, 41, 66, 189, 201, 209, 276, 353, 408, 438, 534, 2208, 2816, 3168, 3189, 3912, 20909, 34350, 42294, 42665, 44685, 48150, 54792, 55182, 59973, 80190, 157169, 213321, 303093, 362765, 382449, 709968, 801978, 916773, 1832496, 2145353, 2291610, 2478785, 5082306, 7033641,
203:, others through the PRPNet client. Some of the work is manual, i.e. it requires manually starting work units and uploading results. Different subprojects may run on different operating systems, and may have executables for CPUs, GPUs, or both; while running the 291:(TPS). In November 2006, the TPS LLR application was officially released at PrimeGrid. Less than two months later, January 2007, the record twin was found by the original manual project. TPS has since been completed, while the search for 1415:
was eventually discovered on January 15, 2007 (sieved by Twin Prime Search and tested by PrimeGrid). The search continued for another record twin prime at just above 100,000 digits. It was completed in August 2009 when Primegrid found
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numbers, yielding the two largest known Cullen primes. The first one being the 14th largest known prime at the time of discovery, and the second one was PrimeGrid's largest prime found
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projects. The easiest of the badges can often be obtained in less than a day by a single computer, whereas the most challenging badges will require far more time and computing power.
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to bring their project to the BOINC community. PrimeGrid provided PerlBOINC support and Riesel Sieve was successful in implementing their sieve as well as a prime finding (
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and was found in 21 March 2018. The search continues for an even bigger Woodall prime. PrimeGrid also found the largest known generalized Woodall prime,
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sieve and the combined Cullen/Woodall sieve. In the fall of the same year, PrimeGrid migrated its systems from PerlBOINC to standard
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which looked for primes of the form 3 · 2 − 1. PrimeGrid added the +1 form and continues the search up to 
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1201046, 1232255, 2312734, 3136255, 4235414, 6090515, 11484018, 11731850, 11895718, 16819291, 17748034, 18196595 (sequence
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projects. Additionally, two sieves were added: the Prime Sierpinski Problem combined sieve which includes supporting the
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PrimeGrid started in June 2005 under the name Message@home and tried to decipher text fragments hashed with
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prime searches were launched. In the Fall, more prime searches were added through partnerships with the
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As of January 2023, PrimeGrid is working on or has worked on the following projects:
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202705 × 2 + 1, largest prime found in the Extended Sierpinski Problem
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Please help update this article to reflect recent events or newly available information.
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PrimeGrid's author Rytis Slatkevičius has been featured as a young entrepreneur in
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instruction sets will yield the fastest results for non-GPU accelerated workloads.
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3 × 2 − 1, largest prime found in the 321 Prime Search project
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and is continuing the search to eliminate the 43 remaining numbers. 3 values of
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213988×5 − 1, largest prime found in the Sierpinski/Riesel Base 5 Problem
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As of 22 April 2018, the project has discovered the four largest
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2525532 × 73 + 1, largest known generalized Cullen prime
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yielded a new record twin prime in September 2016 upon finding the number
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Next target of the project was AP27 Search which searched for a record 27
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at approximately 58,700 digits. The new world's largest known twin prime
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One of PrimeGrid projects was AP26 Search which searched for a record 26
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As of 13 December 2022, PrimeGrid has eliminated 18 values of
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Primes known for 3 · 2 − 1 occur at the following
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Primes known for 3 · 2 + 1 occur at the following
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to obtain greater portability. After a while the project attempted the
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121 × 2 − 1, largest known Sierpinski prime for
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In January 2010 the subproject Seventeen or Bust (for solving the
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427194 × 113 + 1, then largest known GCW prime
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27 × 2 + 1, largest known Sierpinski prime for
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BOINC based volunteer computing project researching prime numbers
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17016602 × 2 − 1, largest known Woodall prime
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6336823451747417, closest near-miss above 9.7 × 10
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project that searches for very large (up to world-record size)
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82687771042557349, closest near-miss above 3 × 10
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121 × 2 − 1, largest known Riesel prime for
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6679881 × 2 + 1, largest known Cullen prime
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224584605939537911 + 81292139 × 23# × 
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On 24 September 2022, PrimeGrid discovered the largest known
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43142746595714191 + 23681770 × 23# × 
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Berkeley Open Infrastructure for Network Computing projects
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10223 × 2 + 1, largest known Proth prime
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Berkeley Open Infrastructure for Network Computing (BOINC)
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1963736 + 1, largest known Generalized Fermat prime
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Search (primes of the form 3 × 2 ± 1)
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321 Prime Search is a continuation of Paul Underwood's
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87 × 2 + 1, largest known prime for
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147855! − 1, 5th largest known factorial prime
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It ranks as the 13th largest known prime overall. 3305: 3262: 3236: 3210: 3003: 2519:"SR5 Has moved to BOINC, PRPNet port to close soon" 162: 154: 146: 138: 130: 119: 107: 99: 91: 83: 75: 57: 45: 2469:"PRPNet PPSELow on prpnet2.mine.nu will be closed" 1465:PrimeGrid has also been featured in an article by 1174:3267113# − 1, largest known primorial prime 437:AP27 Search (Arithmetic progression of 27 primes) 325:Since September 2008, PrimeGrid is also running a 197:Berkeley Open Infrastructure for Network Computing 2882:Finding primes: from digits to digital technology 2569: 2567: 2547:"Welcome to a week of Wieferich and Wall-Sun-Sun" 1488:Finding primes: from digits to digital technology 1008:27×2 − 1, largest known Riesel prime for 2980: 1839:"PrimeGrid's Generalized Fermat Prime Search" 8: 2823:"Viewpoint: The Age of Citizen Cyberscience" 1588: 1586: 1584: 1582: 1580: 19: 2987: 2973: 2965: 2942: 965: 773:2618163402417 × 2 − 1 (2 350: 191:whilst also aiming to solve long-standing 18: 2352:"PRPNet GCW Port 12004 being closed soon" 1932:"PrimeGrid's Extended Sierpinski Problem" 1475:and a talk about citizen cyberscience in 2326:"The Prime Database: 211195*2^3224974+1" 1504: 1502: 1335:, is the product of all primes up to 23. 1329:23# = 2·3·5·7·11·13·17·19·23 = 223092870 1295:, is the product of all primes up to 23. 1289:23# = 2·3·5·7·11·13·17·19·23 = 223092870 828:Generalized Cullen/Woodall Prime Search 2541: 2539: 1498: 1440:known to date. The largest of these is 1344:PrimeGrid is also running a search for 1096:Dual Sierpinski problem (Five or Bust) 2952:(almost daily discovery announcements) 1901:"PrimeGrid's Prime Sierpinski Problem" 1600:from the original on 17 September 2017 1313:224584605939537911 + 81292139 · 23# · 800:65516468355 × 2 ± 1 336:) was added. The calculations for the 87:Finding prime numbers of various types 2763:"The Top Twenty: Generalized Woodall" 2362:from the original on 5 September 2022 2217:from the original on 5 September 2022 1814:"GFN Prime Search Status and History" 1273:43142746595714191 + 23681770 · 23# · 7: 2438:"PrimeGridʼs Primorial Prime Search" 2297:"PrimeGrid Primes: 121 Prime Search" 2267:"The 121 project is almost finished" 1707:from the original on 23 January 2022 1697:"PrimePage Primes: 3·2^18196595 - 1" 1395:are found by independent searchers. 1105:All were done (all PRPs were found) 3159:Discovering Dengue Drugs – Together 2277:from the original on 20 August 2022 2237:"PrimeGrid Primes: 27 Prime Search" 2207:"The 27 project is almost finished" 2057:"World Record Sophie Germain prime" 2026:"World Record Sophie Germain prime" 103:Corporate sponsorship, crowdfunding 2119:"PrimeGrid's Woodall Prime Search" 279:In June 2006, dialog started with 14: 3167:Fiocruz Genome Comparison Project 2906:Rytis Slatkevičius (2010-08-13), 2879:Rytis Slatkevičius (2010-09-02), 1975:from the original on 4 March 2016 1870:"PrimeGrid's Cullen Prime Search" 1208:180062 × 5 − 1 657:9221 × 2 − 1, 570:168451 × 2 + 1 276:primegen subproject was stopped. 2738:"The Top Twenty: Woodall Primes" 2707:"PrimeGridʼs The Riesel Problem" 1995:"PrimeGrid's The Riesel Problem" 1963:"PrimeGrid's Proth Prime Search" 1535:"PrimeGrid's new server (again)" 1306:primes in arithmetic progression 1266:primes in arithmetic progression 1071:90527 × 2 + 1 723:10223 × 2 + 1 231: 34: 25: 2916:from the original on 2011-07-08 2861:from the original on 2011-03-09 2835:from the original on 2010-03-23 2800:from the original on 2009-12-18 2769:from the original on 2011-10-06 2744:from the original on 2023-01-20 2719:from the original on 2017-12-22 2688:from the original on 2022-10-08 2663:from the original on 2011-10-06 2657:"The Top Twenty: Cullen primes" 2638:from the original on 2020-07-09 2612:from the original on 2011-09-14 2586:from the original on 2020-10-01 2553:from the original on 2013-08-17 2525:from the original on 2013-10-09 2500:from the original on 2013-08-17 2475:from the original on 2015-09-24 2450:from the original on 2013-11-26 2419:from the original on 2014-05-15 2394:from the original on 2013-11-26 2332:from the original on 2013-12-22 2307:from the original on 2022-01-27 2247:from the original on 2022-01-27 2187:from the original on 2022-08-22 2162:from the original on 2022-01-27 2131:from the original on 2021-01-21 2088:"PrimeGrid's Twin Prime Search" 2069:from the original on 2016-10-19 2038:from the original on 2019-07-16 2007:from the original on 2022-01-27 1944:from the original on 2022-01-27 1913:from the original on 2019-07-16 1851:from the original on 2021-01-15 1820:from the original on 2017-03-05 1795:from the original on 2019-06-23 1770:from the original on 2019-10-05 1739:from the original on 2011-09-26 1678:from the original on 2011-09-26 1652:from the original on 2011-09-26 1566:from the original on 2018-07-27 1541:from the original on 2017-02-08 1516:from the original on 2011-09-26 1356:Generalized Fermat prime search 3335:Big and Ugly Rendering Project 3325:Artificial Intelligence System 3272:BOINC client–server technology 3183:Human Proteome Folding Project 1: 3330:BBC Climate Change Experiment 2950:PrimeGrid Discord chat server 2682:"1963736^1048576+1 is prime!" 1407:to search for a record-sized 924:10829346, 16408818 (sequence 548:PerlBOINC testing successful 3588:Cross-platform free software 3578:Volunteer computing projects 3487:Seasonal Attribution Project 3179:Help Cure Muscular Dystrophy 2853:Francois Grey (2009-03-26). 1646:"PrimeGrid forum: PPS Sieve" 1594:"PrimeGrid - Detailed Stats" 1428:composed of 388,342 digits. 635:7 × 2 + 1 3187:Help Fight Childhood Cancer 2576:"WSS and WFS are suspended" 2093:. PrimeGrid. Archived from 1875:. PrimeGrid. Archived from 1622:. PrimeGrid. Archived from 1484:Citizen Cyberscience Summit 1426:2996863034895 × 2 ± 1 576:Extended Sierpinski Problem 298:In the summer of 2007, the 3606: 3583:Distributed prime searches 1403:Primegrid worked with the 1352:at over 2 million digits. 209:Advanced Vector Extensions 95:PRPNet, Genefer, LLR, PFGW 2494:"PRNet Discussion( Old )" 1758:"PrimeGrid's AP26 Search" 1727:"PrimeGrid's AP26 Search" 1418:65516468355 × 2 ± 1 1196:Sierpinski Riesel Base 5 240:This section needs to be 33: 24: 2413:"PrimeGrid news archive" 1560:"Donations to PrimeGrid" 1413:2003663613 × 2 ± 1 1362:Generalized Fermat prime 554:Prime Sierpinski Problem 466:Generalized Fermat Prime 340:followed in March 2010. 308:Prime Sierpinski Problem 205:Lucas–Lehmer–Riesel test 193:mathematical conjectures 3473:(merged with PrimeGrid) 3426:Malaria Control Project 273:RSA factoring challenge 3387:(yoyo@home subproject) 3191:Smash Childhood Cancer 2855:"Citizen Cyberscience" 1442:17016602 × 2 − 1 407:Arithmetic progression 63:; 19 years ago 3573:Free science software 3021:climateprediction.net 1446:563528 × 13 − 1 493:Yes (manual sieving) 293:Sophie Germain primes 40:PrimeGrid screensaver 3350:Citizen Science Grid 3155:Clean Energy Project 3151:World Community Grid 2788:"Spreading the load" 1789:"Genefer statistics" 1479:Warwick conference. 1432:Woodall prime search 1422:Sophie Germain prime 756:Sophie Germain Prime 460:= 0, ..., 26 (AP27) 432:= 0, ..., 25 (AP26) 329:sieving subproject. 185:volunteer computing 150:11,504 (August 2022) 3522:SZTAKI Desktop Grid 3411:The Lattice Project 3277:BOINC Credit System 3175:Help Conquer Cancer 2956:PrimeGrid's results 2909:Giant Prime Numbers 2765:. The Prime Pages. 2740:. The Prime Pages. 2684:. The Prime Pages. 2659:. The Prime Pages. 2328:. The Prime Pages. 1340:Cullen prime search 1179:Proth Prime Search 134:2,330 (August 2022) 120:Average performance 21: 3568:Science in society 3171:Help Defeat Cancer 3026:Collatz Conjecture 1234:Wall-Sun-Sun Prime 1138:Mega Prime Search 1058:Sierpinski problem 872:Wall-Sun-Sun Prime 446:20 September 2016 334:Sierpinski problem 213:Fused Multiply-Add 76:Development status 61:June 12, 2005 52:Rytis Slatkevičius 47:Original author(s) 3550: 3549: 3126:Ramanujan Machine 3096:NumberFields@home 3081:MindModeling@Home 2301:www.primegrid.com 2241:www.primegrid.com 1405:Twin Prime Search 1399:Twin prime search 1252: 1251: 1021:121 Prime Search 893: 892: 794:26 November 2006 707:Seventeen or Bust 629:29 February 2008 418:27 December 2008 316:Seventeen or Bust 289:Twin Prime Search 261: 260: 178: 177: 3595: 3416:Leiden Classical 3249:RADIOACTIVE@HOME 3218:RNA World (beta) 3116:QuChemPedIA@home 3011:Amicable Numbers 2989: 2982: 2975: 2966: 2946: 2941: 2940: 2938:Official website 2924: 2923: 2922: 2921: 2903: 2897: 2896: 2895: 2894: 2885:, archived from 2876: 2870: 2869: 2867: 2866: 2850: 2844: 2843: 2841: 2840: 2815: 2809: 2808: 2806: 2805: 2784: 2778: 2777: 2775: 2774: 2759: 2753: 2752: 2750: 2749: 2734: 2728: 2727: 2725: 2724: 2718: 2711: 2703: 2697: 2696: 2694: 2693: 2678: 2672: 2671: 2669: 2668: 2653: 2647: 2646: 2644: 2643: 2627: 2621: 2620: 2618: 2617: 2601: 2595: 2594: 2592: 2591: 2574:Goetz, Michael. 2571: 2562: 2561: 2559: 2558: 2543: 2534: 2533: 2531: 2530: 2515: 2509: 2508: 2506: 2505: 2490: 2484: 2483: 2481: 2480: 2465: 2459: 2458: 2456: 2455: 2449: 2442: 2434: 2428: 2427: 2425: 2424: 2409: 2403: 2402: 2400: 2399: 2393: 2386: 2378: 2372: 2371: 2369: 2367: 2347: 2341: 2340: 2338: 2337: 2322: 2316: 2315: 2313: 2312: 2293: 2287: 2286: 2284: 2282: 2265:Goetz, Michael. 2262: 2256: 2255: 2253: 2252: 2233: 2227: 2226: 2224: 2222: 2202: 2196: 2195: 2193: 2192: 2177: 2171: 2170: 2168: 2167: 2161: 2154: 2146: 2140: 2139: 2137: 2136: 2130: 2123: 2115: 2109: 2108: 2106: 2105: 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22: 3605: 3604: 3598: 3597: 3596: 3594: 3593: 3592: 3553: 3552: 3551: 3546: 3307: 3301: 3264: 3258: 3232: 3228:WEP-M+2 Project 3206: 2999: 2993: 2960:The Prime Pages 2936: 2935: 2932: 2927: 2919: 2917: 2905: 2904: 2900: 2892: 2890: 2878: 2877: 2873: 2864: 2862: 2852: 2851: 2847: 2838: 2836: 2817: 2816: 2812: 2803: 2801: 2786: 2785: 2781: 2772: 2770: 2761: 2760: 2756: 2747: 2745: 2736: 2735: 2731: 2722: 2720: 2716: 2709: 2705: 2704: 2700: 2691: 2689: 2680: 2679: 2675: 2666: 2664: 2655: 2654: 2650: 2641: 2639: 2632:"AP27 Found!!!" 2630:Michael Goetz. 2629: 2628: 2624: 2615: 2613: 2606:"AP26 Found!!!" 2603: 2602: 2598: 2589: 2587: 2580:PrimeGrid Forum 2573: 2572: 2565: 2556: 2554: 2545: 2544: 2537: 2528: 2526: 2517: 2516: 2512: 2503: 2501: 2492: 2491: 2487: 2478: 2476: 2467: 2466: 2462: 2453: 2451: 2447: 2440: 2436: 2435: 2431: 2422: 2420: 2411: 2410: 2406: 2397: 2395: 2391: 2384: 2380: 2379: 2375: 2365: 2363: 2349: 2348: 2344: 2335: 2333: 2324: 2323: 2319: 2310: 2308: 2295: 2294: 2290: 2280: 2278: 2264: 2263: 2259: 2250: 2248: 2235: 2234: 2230: 2220: 2218: 2205:Trunov, Roman. 2204: 2203: 2199: 2190: 2188: 2179: 2178: 2174: 2165: 2163: 2159: 2152: 2148: 2147: 2143: 2134: 2132: 2128: 2121: 2117: 2116: 2112: 2103: 2101: 2097: 2090: 2086: 2085: 2081: 2072: 2070: 2066: 2059: 2055: 2054: 2050: 2041: 2039: 2035: 2028: 2024: 2023: 2019: 2010: 2008: 2004: 1997: 1993: 1992: 1988: 1978: 1976: 1972: 1965: 1961: 1960: 1956: 1947: 1945: 1941: 1934: 1930: 1929: 1925: 1916: 1914: 1910: 1903: 1899: 1898: 1894: 1885: 1883: 1879: 1872: 1868: 1867: 1863: 1854: 1852: 1848: 1841: 1837: 1836: 1832: 1823: 1821: 1812: 1811: 1807: 1798: 1796: 1787: 1786: 1782: 1773: 1771: 1767: 1760: 1756: 1755: 1751: 1742: 1740: 1736: 1729: 1725: 1724: 1720: 1710: 1708: 1695: 1694: 1690: 1681: 1679: 1669: 1668: 1664: 1655: 1653: 1643: 1642: 1638: 1629: 1627: 1618: 1617: 1613: 1603: 1601: 1592: 1591: 1578: 1569: 1567: 1558: 1557: 1553: 1544: 1542: 1533: 1532: 1528: 1519: 1517: 1508: 1507: 1500: 1496: 1454: 1445: 1441: 1434: 1425: 1417: 1412: 1401: 1381: 1369: 1365: 1358: 1350:6679881 · 2 + 1 1349: 1342: 1328: 1319: 1312: 1302: 1288: 1279: 1272: 1262: 1257: 1255:Accomplishments 1214:Wieferich Prime 1160:Primorial Prime 1077:Factorial Prime 1042: 1007: 964: 962:PRPNet projects 948: 925: 908: = 25 898: 849:Wieferich Prime 767:16 August 2009 735:Base 5 Problem 490:= 8192, 16384) 482: 472: 469: 346: 257: 251: 248: 245: 236: 232: 225: 166: 84:Project goal(s) 67: 65: 62: 58:Initial release 41: 17: 12: 11: 5: 3603: 3602: 3599: 3591: 3590: 3585: 3580: 3575: 3570: 3565: 3555: 3554: 3548: 3547: 3545: 3544: 3539: 3534: 3529: 3524: 3519: 3517:Spinhenge@home 3514: 3509: 3504: 3502:SETI@home beta 3499: 3489: 3484: 3479: 3474: 3468: 3463: 3458: 3456:Predictor@home 3453: 3448: 3443: 3438: 3433: 3428: 3423: 3418: 3413: 3408: 3403: 3398: 3393: 3388: 3385:Evolution@Home 3382: 3377: 3372: 3367: 3362: 3357: 3352: 3347: 3345:Cell Computing 3342: 3337: 3332: 3327: 3322: 3317: 3311: 3309: 3303: 3302: 3300: 3299: 3297:Science United 3294: 3289: 3287:Charity Engine 3284: 3279: 3274: 3268: 3266: 3260: 3259: 3257: 3256: 3251: 3246: 3240: 3238: 3234: 3233: 3231: 3230: 3225: 3220: 3214: 3212: 3208: 3207: 3205: 3204: 3199: 3194: 3163:FightAIDS@Home 3148: 3143: 3138: 3133: 3128: 3123: 3118: 3113: 3108: 3103: 3098: 3093: 3088: 3083: 3078: 3076:Minecraft@home 3073: 3068: 3063: 3058: 3053: 3048: 3043: 3038: 3033: 3031:Cosmology@Home 3028: 3023: 3018: 3016:Asteroids@home 3013: 3007: 3005: 3001: 3000: 2994: 2992: 2991: 2984: 2977: 2969: 2963: 2962: 2953: 2947: 2931: 2930:External links 2928: 2926: 2925: 2898: 2871: 2845: 2821:(2009-04-29). 2810: 2796:. 2007-12-06. 2779: 2754: 2729: 2698: 2673: 2648: 2622: 2596: 2563: 2535: 2510: 2485: 2460: 2429: 2404: 2373: 2342: 2317: 2288: 2257: 2228: 2197: 2172: 2141: 2110: 2079: 2048: 2017: 1986: 1954: 1923: 1892: 1861: 1830: 1805: 1780: 1749: 1718: 1688: 1662: 1636: 1611: 1596:. BOINCstats. 1576: 1551: 1526: 1497: 1495: 1492: 1453: 1452:Media coverage 1450: 1438:Woodall primes 1433: 1430: 1400: 1397: 1389:Riesel problem 1380: 1379:Riesel Problem 1377: 1357: 1354: 1341: 1338: 1337: 1336: 1326: 1301: 1298: 1297: 1296: 1286: 1261: 1258: 1256: 1253: 1250: 1249: 1246: 1243: 1240: 1237: 1230: 1229: 1226: 1223: 1220: 1217: 1210: 1209: 1206: 1203: 1200: 1197: 1193: 1192: 1189: 1186: 1183: 1180: 1176: 1175: 1172: 1169: 1166: 1163: 1156: 1155: 1148: 1145: 1142: 1139: 1135: 1134: 1131: 1128: 1125: 1122: 1110: 1109: 1106: 1103: 1100: 1097: 1093: 1092: 1089: 1086: 1083: 1080: 1073: 1072: 1069: 1066: 1063: 1060: 1053: 1052: 1031: 1028: 1025: 1022: 1018: 1017: 996: 993: 990: 987: 983: 982: 979: 976: 973: 970: 963: 960: 959: 958: 936: 935: 897: 894: 891: 890: 887: 884: 881: 878: 875: 868: 867: 864: 861: 858: 855: 852: 845: 844: 841: 838: 835: 832: 829: 825: 824: 821: 818: 815: 812: 809: 802: 801: 798: 795: 792: 789: 786: 779: 778: 771: 768: 765: 762: 759: 752: 751: 748: 745: 742: 739: 736: 725: 724: 721: 718: 715: 712: 709: 703: 702: 699: 696: 695:November 2005 693: 690: 687: 681: 680: 677: 676:November 2005 674: 671: 668: 665: 659: 658: 655: 652: 649: 646: 643: 641:Riesel Problem 637: 636: 633: 630: 627: 624: 621: 614: 613: 610: 609:February 2008 607: 604: 601: 598: 594: 593: 590: 587: 584: 581: 578: 572: 571: 568: 565: 562: 559: 556: 550: 549: 546: 543: 540: 537: 534: 530: 529: 526: 523: 520: 517: 514: 507: 506: 503: 500: 497: 494: 491: 462: 461: 450: 447: 444: 441: 438: 434: 433: 422: 421:12 April 2010 419: 416: 413: 410: 409:of 26 primes) 402: 401: 398: 395: 392: 389: 386: 379: 378: 375: 372: 369: 362: 355: 345: 342: 338:Riesel problem 312:3*2^n-1 Search 259: 258: 239: 237: 230: 224: 221: 195:. It uses the 176: 175: 164: 160: 159: 156: 152: 151: 148: 144: 143: 140: 136: 135: 132: 128: 127: 121: 117: 116: 111: 105: 104: 101: 97: 96: 93: 89: 88: 85: 81: 80: 77: 73: 72: 59: 55: 54: 49: 43: 42: 39: 31: 30: 15: 13: 10: 9: 6: 4: 3: 2: 3601: 3600: 3589: 3586: 3584: 3581: 3579: 3576: 3574: 3571: 3569: 3566: 3564: 3561: 3560: 3558: 3543: 3540: 3538: 3535: 3533: 3530: 3528: 3525: 3523: 3520: 3518: 3515: 3513: 3510: 3508: 3505: 3503: 3500: 3497: 3493: 3490: 3488: 3485: 3483: 3480: 3478: 3475: 3472: 3469: 3467: 3464: 3462: 3461:proteins@home 3459: 3457: 3454: 3452: 3449: 3447: 3444: 3442: 3439: 3437: 3436:OProject@Home 3434: 3432: 3429: 3427: 3424: 3422: 3419: 3417: 3414: 3412: 3409: 3407: 3404: 3402: 3399: 3397: 3394: 3392: 3389: 3386: 3383: 3381: 3378: 3376: 3373: 3371: 3368: 3366: 3363: 3361: 3358: 3356: 3353: 3351: 3348: 3346: 3343: 3341: 3338: 3336: 3333: 3331: 3328: 3326: 3323: 3321: 3318: 3316: 3313: 3312: 3310: 3304: 3298: 3295: 3293: 3290: 3288: 3285: 3283: 3280: 3278: 3275: 3273: 3270: 3269: 3267: 3261: 3255: 3252: 3250: 3247: 3245: 3242: 3241: 3239: 3235: 3229: 3226: 3224: 3221: 3219: 3216: 3215: 3213: 3209: 3203: 3200: 3198: 3195: 3192: 3188: 3184: 3180: 3176: 3172: 3168: 3164: 3160: 3156: 3153:(subprojects 3152: 3149: 3147: 3146:Universe@Home 3144: 3142: 3139: 3137: 3134: 3132: 3129: 3127: 3124: 3122: 3119: 3117: 3114: 3112: 3109: 3107: 3104: 3102: 3099: 3097: 3094: 3092: 3089: 3087: 3084: 3082: 3079: 3077: 3074: 3072: 3071:MilkyWay@home 3069: 3067: 3064: 3062: 3059: 3057: 3054: 3052: 3049: 3047: 3044: 3042: 3041:Einstein@Home 3039: 3037: 3034: 3032: 3029: 3027: 3024: 3022: 3019: 3017: 3014: 3012: 3009: 3008: 3006: 3002: 2997: 2990: 2985: 2983: 2978: 2976: 2971: 2970: 2967: 2961: 2957: 2954: 2951: 2948: 2945: 2939: 2934: 2933: 2929: 2915: 2911: 2910: 2902: 2899: 2889:on 2010-09-15 2888: 2884: 2883: 2875: 2872: 2860: 2856: 2849: 2846: 2834: 2830: 2829: 2824: 2820: 2819:Francois Grey 2814: 2811: 2799: 2795: 2794: 2793:The Economist 2789: 2783: 2780: 2768: 2764: 2758: 2755: 2743: 2739: 2733: 2730: 2715: 2712:. PrimeGrid. 2708: 2702: 2699: 2687: 2683: 2677: 2674: 2662: 2658: 2652: 2649: 2637: 2634:. PrimeGrid. 2633: 2626: 2623: 2611: 2608:. PrimeGrid. 2607: 2600: 2597: 2585: 2582:. PrimeGrid. 2581: 2577: 2570: 2568: 2564: 2552: 2549:. PrimeGrid. 2548: 2542: 2540: 2536: 2524: 2521:. PrimeGrid. 2520: 2514: 2511: 2499: 2496:. PrimeGrid. 2495: 2489: 2486: 2474: 2471:. PrimeGrid. 2470: 2464: 2461: 2446: 2443:. PrimeGrid. 2439: 2433: 2430: 2418: 2415:. PrimeGrid. 2414: 2408: 2405: 2390: 2387:. PrimeGrid. 2383: 2377: 2374: 2361: 2357: 2353: 2346: 2343: 2331: 2327: 2321: 2318: 2306: 2302: 2298: 2292: 2289: 2276: 2272: 2268: 2261: 2258: 2246: 2242: 2238: 2232: 2229: 2216: 2212: 2208: 2201: 2198: 2186: 2183:. PrimeGrid. 2182: 2176: 2173: 2158: 2155:. PrimeGrid. 2151: 2145: 2142: 2127: 2124:. PrimeGrid. 2120: 2114: 2111: 2100:on 2011-09-26 2096: 2089: 2083: 2080: 2065: 2062:. PrimeGrid. 2058: 2052: 2049: 2034: 2031:. PrimeGrid. 2027: 2021: 2018: 2003: 2000:. PrimeGrid. 1996: 1990: 1987: 1971: 1968:. PrimeGrid. 1964: 1958: 1955: 1940: 1937:. PrimeGrid. 1933: 1927: 1924: 1909: 1906:. PrimeGrid. 1902: 1896: 1893: 1882:on 2011-09-26 1878: 1871: 1865: 1862: 1847: 1844:. PrimeGrid. 1840: 1834: 1831: 1819: 1816:. PrimeGrid. 1815: 1809: 1806: 1794: 1791:. PrimeGrid. 1790: 1784: 1781: 1766: 1763:. PrimeGrid. 1759: 1753: 1750: 1735: 1732:. PrimeGrid. 1728: 1722: 1719: 1706: 1702: 1698: 1692: 1689: 1677: 1674:. PrimeGrid. 1673: 1666: 1663: 1651: 1648:. PrimeGrid. 1647: 1640: 1637: 1626:on 2010-05-30 1625: 1621: 1620:"Prime Lists" 1615: 1612: 1599: 1595: 1589: 1587: 1585: 1583: 1581: 1577: 1565: 1561: 1555: 1552: 1540: 1537:. PrimeGrid. 1536: 1530: 1527: 1515: 1512:. PrimeGrid. 1511: 1505: 1503: 1499: 1493: 1491: 1489: 1485: 1482:In the first 1480: 1478: 1474: 1473: 1468: 1467:Francois Grey 1463: 1461: 1460: 1459:The Economist 1451: 1449: 1439: 1431: 1429: 1423: 1410: 1406: 1398: 1396: 1394: 1390: 1386: 1378: 1376: 1372: 1363: 1355: 1353: 1347: 1339: 1334: 1327: 1322: 1318:is prime for 1316: 1311: 1310: 1309: 1307: 1299: 1294: 1287: 1282: 1278:is prime for 1276: 1271: 1270: 1269: 1267: 1259: 1254: 1247: 1244: 1241: 1238: 1235: 1232: 1231: 1227: 1224: 1221: 1218: 1215: 1212: 1211: 1207: 1204: 1201: 1198: 1195: 1194: 1190: 1187: 1184: 1181: 1178: 1177: 1173: 1170: 1167: 1164: 1161: 1158: 1157: 1153: 1149: 1146: 1143: 1140: 1137: 1136: 1132: 1129: 1126: 1123: 1121:Prime Search 1120: 1116: 1112: 1111: 1107: 1104: 1101: 1098: 1095: 1094: 1090: 1087: 1084: 1081: 1078: 1075: 1074: 1070: 1067: 1064: 1061: 1059: 1055: 1054: 1050: 1046: 1040: 1036: 1032: 1029: 1026: 1023: 1020: 1019: 1015: 1011: 1005: 1001: 997: 994: 991: 988: 985: 984: 980: 977: 974: 971: 968: 967: 961: 956: 951: 945: 944: 943: 941: 933: 928: 922: 921: 920: 918: 913: 911: 907: 903: 895: 888: 885: 882: 879: 876: 873: 870: 869: 865: 862: 859: 856: 853: 850: 847: 846: 842: 839: 836: 833: 830: 827: 826: 822: 819: 816: 813: 810: 807: 806:Woodall Prime 804: 803: 799: 797:25 July 2009 796: 793: 790: 787: 784: 781: 780: 776: 772: 769: 766: 763: 760: 757: 754: 753: 749: 746: 744:14 June 2013 743: 740: 737: 734: 730: 727: 726: 722: 719: 716: 713: 710: 708: 705: 704: 700: 697: 694: 691: 688: 686: 683: 682: 678: 675: 672: 669: 666: 664: 661: 660: 656: 653: 650: 647: 644: 642: 639: 638: 634: 631: 628: 625: 622: 619: 616: 615: 611: 608: 605: 602: 599: 596: 595: 591: 588: 585: 582: 579: 577: 574: 573: 569: 566: 564:10 July 2008 563: 560: 557: 555: 552: 551: 547: 544: 542:12 June 2005 541: 538: 535: 532: 531: 527: 524: 521: 518: 515: 512: 509: 508: 504: 501: 499:January 2012 498: 495: 492: 489: 485: 479: 475: 467: 464: 463: 459: 455: 451: 448: 445: 442: 439: 436: 435: 431: 427: 423: 420: 417: 414: 411: 408: 405:AP26 Search ( 404: 403: 399: 396: 394:30 June 2008 393: 390: 387: 384: 381: 380: 376: 373: 370: 367: 363: 360: 356: 353: 352: 349: 343: 341: 339: 335: 330: 328: 323: 321: 317: 313: 309: 305: 301: 296: 294: 290: 286: 282: 277: 274: 270: 266: 255: 243: 238: 229: 228: 222: 220: 216: 214: 210: 206: 202: 198: 194: 190: 189:prime numbers 186: 182: 173: 165: 161: 157: 153: 149: 145: 141: 137: 133: 129: 126: 122: 118: 115: 112: 110: 106: 102: 98: 94: 92:Software used 90: 86: 82: 78: 74: 60: 56: 53: 50: 48: 44: 37: 32: 28: 23: 3494:(subproject 3471:Riesel Sieve 3451:Pirates@Home 3421:uFluids@Home 3406:Kryptos@Home 3365:Docking@Home 3292:GridRepublic 3244:nanoHUB@home 3131:Rosetta@home 3110: 3086:Moo! Wrapper 3046:Gerasim@home 2918:, retrieved 2908: 2901: 2891:, retrieved 2887:the original 2881: 2874: 2863:. Retrieved 2848: 2837:. Retrieved 2828:CERN Courier 2826: 2813: 2802:. Retrieved 2791: 2782: 2771:. Retrieved 2757: 2746:. Retrieved 2732: 2721:. Retrieved 2701: 2690:. Retrieved 2676: 2665:. Retrieved 2651: 2640:. Retrieved 2625: 2614:. Retrieved 2599: 2588:. Retrieved 2579: 2555:. Retrieved 2527:. Retrieved 2513: 2502:. Retrieved 2488: 2477:. Retrieved 2463: 2452:. Retrieved 2432: 2421:. Retrieved 2407: 2396:. Retrieved 2376: 2364:. Retrieved 2355: 2345: 2334:. Retrieved 2320: 2309:. Retrieved 2300: 2291: 2279:. Retrieved 2270: 2260: 2249:. Retrieved 2240: 2231: 2219:. Retrieved 2210: 2200: 2189:. Retrieved 2175: 2164:. Retrieved 2144: 2133:. Retrieved 2113: 2102:. Retrieved 2095:the original 2082: 2071:. Retrieved 2051: 2040:. Retrieved 2020: 2009:. Retrieved 1989: 1977:. Retrieved 1957: 1946:. Retrieved 1926: 1915:. Retrieved 1895: 1884:. Retrieved 1877:the original 1864: 1853:. Retrieved 1833: 1822:. Retrieved 1808: 1797:. Retrieved 1783: 1772:. Retrieved 1752: 1741:. Retrieved 1721: 1709:. Retrieved 1700: 1691: 1680:. Retrieved 1665: 1654:. Retrieved 1639: 1628:. Retrieved 1624:the original 1614: 1602:. Retrieved 1568:. Retrieved 1554: 1543:. Retrieved 1529: 1518:. Retrieved 1487: 1481: 1472:CERN Courier 1470: 1464: 1457: 1455: 1435: 1402: 1392: 1384: 1382: 1370: 1359: 1346:Cullen prime 1343: 1323:= 0, ..., 26 1320: 1314: 1303: 1283:= 0, ..., 25 1280: 1274: 1263: 1151: 1113:Generalized 1048: 1044: 1038: 1034: 1013: 1009: 1003: 999: 981:Best result 939: 937: 916: 914: 909: 905: 899: 774: 673:August 2005 586:7 June 2014 545:August 2005 522:August 2007 511:Cullen Prime 487: 481: 477: 471: 457: 453: 429: 425: 377:Best result 347: 331: 324: 297: 281:Riesel Sieve 278: 262: 249: 241: 217: 207:, CPUs with 201:BOINC client 180: 179: 147:Active hosts 131:Active users 3512:SLinCA@Home 3375:Enigma@Home 3308:or inactive 3263:Technology, 3197:WUProp@Home 3136:SIDock@home 3051:GPUGRID.net 2857:(Podcast). 2366:10 November 1366:1963736 + 1 1030:April 2021 995:March 2022 698:March 2006 651:March 2010 618:Proth Prime 606:March 2006 327:Proth prime 295:continues. 155:Total hosts 139:Total users 3557:Categories 3496:Astropulse 3466:RALPH@home 3441:orbit@home 3370:EDGeS@Home 3360:DistrRTgen 3355:Correlizer 3306:Terminated 3121:RakeSearch 3036:DENIS@home 2920:2010-12-03 2893:2010-12-03 2865:2010-04-26 2839:2010-04-26 2804:2010-02-08 2773:2023-03-12 2748:2023-03-12 2723:2017-12-22 2692:2023-03-12 2667:2023-03-12 2642:2020-07-09 2616:2011-09-19 2590:2020-09-06 2557:2013-07-03 2529:2013-07-01 2504:2013-07-01 2479:2013-07-13 2454:2014-03-09 2423:2014-04-23 2398:2014-03-09 2336:2023-03-12 2311:2022-01-27 2251:2022-01-27 2191:2022-08-22 2166:2022-01-27 2135:2019-07-28 2104:2011-09-19 2073:2019-07-28 2042:2019-07-28 2011:2022-01-27 1948:2022-01-27 1917:2019-07-28 1886:2011-09-19 1855:2019-07-28 1824:2017-03-04 1799:2015-11-04 1774:2019-10-23 1743:2011-09-19 1682:2011-09-19 1656:2011-09-19 1630:2011-09-19 1570:2018-07-27 1545:2016-10-09 1520:2011-09-19 1494:References 1409:twin prime 1108:2 + 40291 902:321 Search 817:July 2007 783:Twin prime 729:Sierpinski 322:software. 252:March 2023 170:.primegrid 123:3,398.914 68:2005-06-12 3537:VGTU@Home 3532:theSkyNet 3492:SETI@home 3446:POEM@Home 3401:Ibercivis 3396:HashClash 3320:AQUA@home 3202:yoyo@home 3111:PrimeGrid 2356:PrimeGrid 2281:19 August 2271:PrimeGrid 2221:19 August 2211:PrimeGrid 1604:21 August 1387:from the 1364:to date, 1333:primorial 1293:primorial 1056:Extended 597:PrimeGen 533:Message7 383:321 Prime 368:project? 361:project? 181:PrimeGrid 20:PrimeGrid 3542:XtremLab 3482:SAT@home 3477:QMC@Home 3431:MLC@Home 3340:CAS@home 3315:ABC@Home 3282:Gridcoin 3091:NFS@Home 3061:LHC@home 2998:projects 2914:archived 2859:Archived 2833:Archived 2798:Archived 2767:Archived 2742:Archived 2714:Archived 2686:Archived 2661:Archived 2636:Archived 2610:Archived 2584:Archived 2551:Archived 2523:Archived 2498:Archived 2473:Archived 2445:Archived 2417:Archived 2389:Archived 2360:Archived 2330:Archived 2305:Archived 2275:Archived 2245:Archived 2215:Archived 2185:Archived 2157:Archived 2126:Archived 2064:Archived 2033:Archived 2002:Archived 1979:10 March 1970:Archived 1939:Archived 1908:Archived 1846:Archived 1818:Archived 1793:Archived 1765:Archived 1734:Archived 1711:12 March 1705:Archived 1676:Archived 1650:Archived 1598:Archived 1564:Archived 1539:Archived 1514:Archived 1331:, or 23 1291:, or 23 1171:Ongoing 1088:Ongoing 1047:= 2 and 1037:= 2 and 1012:= 2 and 1002:= 2 and 972:Active? 969:Project 840:Ongoing 820:Ongoing 770:Ongoing 747:Ongoing 720:Ongoing 654:Ongoing 632:Ongoing 589:Ongoing 567:Ongoing 525:Ongoing 502:Ongoing 483:inactive 449:Ongoing 397:Ongoing 354:Project 344:Projects 142:353,245 109:Platform 3527:TANPAKU 3391:FreeHAL 3223:TN-Grid 1701:t5k.org 1469:in the 1236:Search 1216:Search 1162:Search 1119:Woodall 1079:Search 953:in the 950:A002235 930:in the 927:A002253 874:Search 851:Search 808:Search 785:Search 758:Search 685:RSA-768 663:RSA-640 620:Search 513:Search 364:Active 357:Active 304:Woodall 242:updated 223:History 163:Website 158:21,985 100:Funding 66: ( 3141:SRBase 3056:iThena 3004:Active 2604:John. 2350:JimB. 1670:John. 1644:John. 1115:Cullen 1051:= 121 975:Start 733:Riesel 473:active 468:Search 371:Start 300:Cullen 125:TFLOPS 79:Active 3507:SIMAP 3265:tools 3237:Alpha 3106:ODLK1 2717:(PDF) 2710:(PDF) 2448:(PDF) 2441:(PDF) 2392:(PDF) 2385:(PDF) 2160:(PDF) 2153:(PDF) 2129:(PDF) 2122:(PDF) 2098:(PDF) 2091:(PDF) 2067:(PDF) 2060:(PDF) 2036:(PDF) 2029:(PDF) 2005:(PDF) 1998:(PDF) 1973:(PDF) 1966:(PDF) 1942:(PDF) 1935:(PDF) 1911:(PDF) 1904:(PDF) 1880:(PDF) 1873:(PDF) 1849:(PDF) 1842:(PDF) 1768:(PDF) 1761:(PDF) 1737:(PDF) 1730:(PDF) 1245:2017 1242:2012 1225:2017 1222:2012 1205:2013 1202:2009 1188:2012 1185:2008 1168:2008 1154:= 87 1147:2014 1130:2017 1068:2014 1041:= 121 1016:= 27 886:2022 883:2020 863:2022 860:2020 359:sieve 320:BOINC 183:is a 114:BOINC 3254:YAFU 3211:Beta 3101:ODLK 3066:LODA 2368:2017 2283:2022 2223:2022 1981:2016 1713:2023 1606:2022 1477:TEDx 1373:= 20 1300:AP27 1260:AP26 1165:Yes 1082:Yes 1006:= 27 978:End 955:OEIS 932:OEIS 834:Yes 831:Yes 814:Yes 764:Yes 741:Yes 714:Yes 648:Yes 626:Yes 623:Yes 583:Yes 561:Yes 519:Yes 391:Yes 374:End 310:and 302:and 269:Perl 211:and 172:.com 3380:eOn 2958:at 1239:No 1219:No 1199:No 1182:No 1141:No 1124:No 1099:No 1062:No 1024:No 989:No 811:No 788:No 761:No 738:No 711:No 689:No 667:No 645:No 600:No 580:No 558:No 536:No 516:No 388:No 366:LLR 285:LLR 265:MD5 168:www 3559:: 3189:, 3185:, 3181:, 3177:, 3173:, 3169:, 3165:, 3161:, 3157:, 2912:, 2831:. 2825:. 2790:. 2578:. 2566:^ 2538:^ 2358:. 2354:. 2303:. 2299:. 2273:. 2269:. 2243:. 2239:. 2213:. 2209:. 1703:. 1699:. 1579:^ 1562:. 1501:^ 1462:. 1448:. 1144:— 1127:— 1102:— 1085:— 1065:— 1027:— 992:— 942:: 919:: 912:. 889:— 880:— 877:— 866:— 857:— 854:— 791:— 701:— 692:— 679:— 670:— 612:— 603:— 539:— 496:— 486:: 476:: 456:, 443:— 440:— 428:, 415:— 412:— 3498:) 3193:) 2988:e 2981:t 2974:v 2868:. 2842:. 2807:. 2776:. 2751:. 2726:. 2695:. 2670:. 2645:. 2619:. 2593:. 2560:. 2532:. 2507:. 2482:. 2457:. 2426:. 2401:. 2370:. 2339:. 2314:. 2285:. 2254:. 2225:. 2194:. 2169:. 2138:. 2107:. 2076:. 2045:. 2014:. 1983:. 1951:. 1920:. 1889:. 1858:. 1827:. 1802:. 1777:. 1746:. 1715:. 1685:. 1659:. 1633:. 1608:. 1573:. 1548:. 1523:. 1393:k 1385:k 1371:n 1325:. 1321:n 1315:n 1285:. 1281:n 1275:n 1152:k 1117:/ 1049:k 1045:b 1039:k 1035:b 1014:k 1010:b 1004:k 1000:b 957:) 940:n 934:) 917:n 910:M 906:n 775:p 731:/ 488:n 478:n 470:( 458:n 454:n 430:n 426:n 254:) 250:( 244:. 70:)

Index



Original author(s)
Rytis Slatkevičius
Platform
BOINC
TFLOPS
www.primegrid.com
volunteer computing
prime numbers
mathematical conjectures
Berkeley Open Infrastructure for Network Computing
BOINC client
Lucas–Lehmer–Riesel test
Advanced Vector Extensions
Fused Multiply-Add
MD5
Perl
RSA factoring challenge
Riesel Sieve
LLR
Twin Prime Search
Sophie Germain primes
Cullen
Woodall
Prime Sierpinski Problem
3*2^n-1 Search
Seventeen or Bust
BOINC
Proth prime

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