| Rank | Exponent | Known Factors | PRP |
|---|---|---|---|
| 1 | M2 | Mersenne Prime! | |
| 2 | M3 | Mersenne Prime! | |
| 3 | M5 | Mersenne Prime! | |
| 4 | M7 | Mersenne Prime! | |
| 5 | M13 | Mersenne Prime! | |
| 6 | M17 | Mersenne Prime! | |
| 7 | M19 | Mersenne Prime! | |
| 8 | M31 | Mersenne Prime! | |
| 9 | M61 | Mersenne Prime! | |
| 10 | M89 | Mersenne Prime! | |
| 11 | M107 | Mersenne Prime! | |
| 12 | M127 | Mersenne Prime! | |
| 13 | M521 | Mersenne Prime! | |
| 14 | M607 | Mersenne Prime! | |
| 15 | M1279 | Mersenne Prime! | |
| 16 | M2203 | Mersenne Prime! | |
| 17 | M2281 | Mersenne Prime! | |
| 18 | M3217 | Mersenne Prime! | |
| 19 | M4253 | Mersenne Prime! | |
| 20 | M4423 | Mersenne Prime! | |
| 21 | M9689 | Mersenne Prime! | |
| 22 | M9941 | Mersenne Prime! | |
| 23 | M11213 | Mersenne Prime! | |
| M13001 | 104009 18880338223 86834589071 3261347813354891770607 | no | |
| M13003 | 208049 1170271 13341079 939072395017 | no | |
| M13007 | 27063341758379934742754988920252014464788698313 | no | |
| M13009 | 58725204993500790527 10172975962592094486810857173672676999 | no | |
| M13033 | 12622506629205261223 | no | |
| M13037 | 190880881390622978067041 | no | |
| M13043 | 1408933449841018324321854263 8468066034717310497171346330775527 | no | |
| M13049 | 104393 182687 4485481856573567 | no | |
| M13063 | 522521 554733359 671825272954381026535657 126541287035193939087787384428110492447 | no | |
| M13093 | 3231981325161647 343107337692217790195130191 | no | |
| M13099 | 264036874393330821684099593721913250288207897 | no | |
| M13103 | 20991007 338398079 72484999783103 | no | |
| M13109 | 183527 3146161 76137073 | no | |
| M13121 | 8883798075151 290310479097546074437362605040796310527 | no | |
| M13127 | 2835433 1406215973323223 | no | |
| M13147 | 121714927 1299028777 3275087128410045133313 | no | |
| M13151 | 11783297 503485450629580813860473512721 | no | |
| M13159 | 1388070996626769289921 27777768206636837666119 870475235993171601879789607 | no | |
| M13163 | 737129 4101948096473 837579573618384416431 | no | |
| M13171 | 290631287 7271930252981516377 6107743998788605614579553 | no | |
| M13177 | 79063 18393997569823009 16810414798702295129 30627375969599796584085605278369 | no | |
| M13183 | 698725367 204375310753 999789781927 42719770427033596773319 3212964667756388247233621327 | no | |
| M13187 | 1967289409 156217263701497 | no | |
| M13229 | 396871 3651039175658486291643085509250711 | no | |
| M13241 | 105929 2873428837589316258707742676348894313 1217859473761865727563164516097890942633 | no | |
| M13249 | 2543809 420749701958627306729 | no | |
| M13259 | 3317189657 165706840683986764281291876367 | no | |
| M13267 | 82711943458049277218297229399631 2768010176026958221972156342523208826711 | no | |
| M13291 | 132911 | no | |
| M13297 | 624107993 3391711064236073956959672529 15885362546598556926481200572423 | no | |
| M13309 | 121072138295586445748975622446567 33277482213151028863942218094612687 | no | |
| M13313 | 1065041 | no | |
| M13331 | 9729097111 | no | |
| M13337 | 2027806485940570388159 69250798223005863773525113 14291354321274362416567761526524049 | no | |
| M13339 | 133391 126362197412071613933687633 | no | |
| M13367 | 106937 2807071 192270929 | no | |
| M13381 | 49300715543 | no | |
| M13397 | 509087 1610605165297969 5611433081271216237210849696023 | no | |
| M13399 | 170937520210591 | no | |
| M13411 | 536441 | no | |
| M13417 | 322009 2395417513 3072333110066569270711 346803621886284269797029562633 | no | |
| M13421 | 114369553215286965903954130633 | no | |
| M13441 | 834624975855578951 | no | |
| M13451 | 26903 107609 2690201 25744353137 7150628005253909099846161 | no | |
| M13457 | 6120166733617 2439236084627161 21148237731667204633 | no | |
| M13463 | 26927 5497131383 122239714780251847 25734518266381760604487351 | no | |
| M13469 | 91023503 1284053647 2954015621873507210936923259578334107960635647 | no | |
| M13477 | 398411893962314399953 | no | |
| M13487 | 107897 71896820465147337866380177 | no | |
| M13499 | 1072945458222850090969 3736272296896239593531734515538671948941302673 | no | |
| M13513 | 64879397924324925613132529328223 109383531877474552274846014944007 | no | |
| M13537 | 2165921 5929207 10288121 11993783 45013341855278298504791 | no | |
| M13553 | 910219481 183120437897 | no | |
| M13567 | 10229519 | no | |
| M13577 | 81463 207429407 7175300266343596078809487 5174235744672422611968405354001189888272165017 | no | |
| M13591 | 49545335924082423590506148869776808801 | no | |
| M13613 | 57153614200479623 | no | |
| M13619 | 27239 790496415854569 49478447152949493463 670530966540310631668321 | no | |
| M13627 | 872129 18960806820734300444249071 10039271406900893259799545109097 12837281026089846541215259630439 | no | |
| M13633 | 15823836927177082079 448660677317392644092906383951 | no | |
| M13649 | 6304361252767407887 1350153392830741507383241116746932679 | no | |
| M13669 | 300719 956831 1640281 5726507279850970625758280850336071 | no | |
| M13679 | 109433 246223 100157639 312975521 19705922417816082121 1295445979368162725657872910907040893208969 | no | |
| M13681 | 1203929 | no | |
| M13687 | 1122890146248815137 | no | |
| M13693 | 266493167 268362024234629264841383 8365420821400938111815102833 | no | |
| M13697 | 82183 271461483230835463193 46076643238702238750761 | no | |
| M13709 | 212736263 1121944561 1552824242617 5508030462931748770751 25982270687484888094939391 11182013220187757608627831327 | no | |
| M13711 | 1027012815084974141422357846140161 | no | |
| M13721 | 2281528776694793 | no | |
| M13723 | 158795749393 | no | |
| M13729 | 40300062542629414829045962393 | no | |
| M13751 | 247519 7528204967 11542780311403457 1958339366063802913 28018286585560077871715480620770741847 | no | |
| M13757 | 921635416309315511738636034913 | no | |
| M13759 | 3962593 10044071 7425740472847 154822900431503488635333527 | no | |
| M13763 | 27527 908359 5613652441 | no | |
| M13781 | 86057505502702608247 30171602035447264429883562923513 | no | |
| M13789 | 14027796646489845976111 | no | |
| M13799 | 441569 644487041857 7919200798214177 102792792943897855273 | no | |
| M13807 | 5786568929 291102086785587367516962179944541201 | no | |
| M13829 | 61043209960391 9100814131678655318068457823079 401616426268246124890636744093642183 | no | |
| M13831 | 1385866201 | no | |
| M13841 | 83047 | no | |
| M13859 | 11352827586964217 | no | |
| M13873 | 15620999 2023436009475044138961062392660366903 46504793905676683039780338877784360486807 | no | |
| M13877 | 23091329 | no | |
| M13879 | 4922948363329 312550063231655033164531445351 6296272221809488489700392419994498993 260371331695436744040943052217582213983 | no | |
| M13883 | 27767 3754297023204479 | no | |
| M13901 | 14206823 39030421543 142991153430113 | no | |
| M13903 | 333673 6812471 | no | |
| M13907 | 51738167959183 | no | |
| M13913 | 1842752557903 | no | |
| M13921 | 9554223263694270603601 | no | |
| M13931 | 19085471 14609740161302963605567 | no | |
| M13933 | 289105848761 150886037950928425869089445864095743 | no | |
| M13963 | 335113 90492890479 62567732555046115897 47052394839089788711995577 | no | |
| M13967 | 3497798117359203443260143530134347389850527745239 | no | |
| M13997 | 83983 291781463 | no | |
| M13999 | 139991 2037365278166259071 234534815176453313037359 59895546905398934285004240937 | no | |
| 24 | M19937 | Mersenne Prime! | |
| 25 | M21701 | Mersenne Prime! | |
| 26 | M23209 | Mersenne Prime! | |
| 27 | M44497 | Mersenne Prime! | |
| 28 | M86243 | Mersenne Prime! | |
| 29 | M110503 | Mersenne Prime! | |
| 30 | M132049 | Mersenne Prime! | |
| 31 | M216091 | Mersenne Prime! | |
| 32 | M756839 | Mersenne Prime! | |
| 33 | M859433 | Mersenne Prime! | |
| 34 | M1257787 | Mersenne Prime! | |
| 35 | M1398269 | Mersenne Prime! | |
| 36 | M2976221 | Mersenne Prime! | |
| 37 | M3021377 | Mersenne Prime! | |
| 38 | M6972593 | Mersenne Prime! | |
| 39 | M13466917 | Mersenne Prime! | |
| 40 | M20996011 | Mersenne Prime! | |
| 41 | M24036583 | Mersenne Prime! | |
| 42 | M25964951 | Mersenne Prime! | |
| 43 | M30402457 | Mersenne Prime! | |
| 44 | M32582657 | Mersenne Prime! | |
| 45 | M37156667 | Mersenne Prime! | |
| 46 | M42643801 | Mersenne Prime! | |
| 47 | M43112609 | Mersenne Prime! | |
| 48 | M57885161 | Mersenne Prime! | |
| 49 | M74207281 | Mersenne Prime! | |
| 50 | M77232917 | Mersenne Prime! | |
| 51 | M82589933 | Mersenne Prime! | |