| 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! | |
| 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! | |
| M279001 | 2448718916167851001 | no | |
| M279007 | 151240302766367 821947542476383 122382213685644108562559 | no | |
| M279029 | 11953602361 37279673772847409 478266106116846305948369 838512421312667635069687 | no | |
| M279073 | 2712871664290927 8523250127869998725143 | no | |
| M279109 | 108852511 49517844127 | no | |
| M279119 | 45217279 7778603634192345379943397497 | no | |
| M279121 | 9244741520111 50403658456919 1713108379150031005589141728057 | no | |
| M279127 | 22527423657803293436108873 | no | |
| M279131 | 5024359 10974718577689 | no | |
| M279137 | 49882614345497961979681 | no | |
| M279143 | 558287 378382244503 8933250465316601 877529523208654831 | no | |
| M279173 | 30709031 274706233 196485000944047 | no | |
| M279179 | 897409169983 | no | |
| M279187 | 10289864041111 | no | |
| M279203 | 16093819327 | no | |
| M279211 | 4467377 5408112748048196700233 | no | |
| M279221 | 3415671515982169 | no | |
| M279269 | 1384615703 5548837842825536024300719 | no | |
| M279311 | 8937953 150065957676157337417 | no | |
| M279329 | 1099080844223 | no | |
| M279353 | 2906947319 27548675449 2935047276458945896523879 64130144662408752892571934289 | no | |
| M279397 | 11175881 9845391487 | no | |
| M279407 | 2235257 1014239511164111 | no | |
| M279413 | 345629561067506760224161 | no | |
| M279421 | 6147263 | no | |
| M279431 | 558863 9427443079 123393105600998283523129 | no | |
| M279451 | 516213100891421860249 | no | |
| M279479 | 343553464512673 | no | |
| M279481 | 41776260919 140648254289 9893542830726287 376022195066616089086097 | no | |
| M279511 | 101213028580550473 12029978274168206081 | no | |
| M279523 | 611954849144537 30808377471179102471591633 | no | |
| M279541 | 117666634049 | no | |
| M279551 | 27395999 38578039 1324658004521 | no | |
| M279553 | 175358430760561 365358239812808804755918110583 | no | |
| M279557 | 214903293497 6451922377525609 | no | |
| M279571 | 4270953048511 58432826063617 11699330239507199 | no | |
| M279577 | 2723132477291599 | no | |
| M279583 | 5680469539951 | no | |
| M279607 | 31875199 | no | |
| M279613 | 1006606801 11218073561 59455141165841 2518041911240716375198399 | no | |
| M279619 | 139250263 | no | |
| M279637 | 15509786569 2773688083657 112087846732561031 2151338335647809705809 | no | |
| M279641 | 2237129 53691073 116330657 | no | |
| M279659 | 559319 | no | |
| M279679 | 1347877482237023 3218283649033801 | no | |
| M279689 | 8950049 2516410598887 715338665160727 | no | |
| M279707 | 9106986527177684797753 | no | |
| M279731 | 536790010205928236111207151176687 | no | |
| M279751 | 78330281 | no | |
| M279761 | 119913957431 | no | |
| M279779 | 2238233 227614682498351049007 56948583044296441357049 953237357252049664376471 126484004366290095257504372139509665007 | no | |
| M279817 | 414525380873 34194579803662638835481 22164762135317932437785106971479 | no | |
| M279847 | 1864586979361 25401091386048540396953 250580180136556512369671009 1924935372182008093377540073583 | no | |
| M279857 | 1761979673 | no | |
| M279883 | 15912867258557656927 | no | |
| M279913 | 8397391 31350257 | no | |
| M279919 | 7330989035921 162514417234711290275927 | no | |
| M279949 | 8398471 596790239119 149078043534269625614838473 | no | |
| M279967 | 4479473 12348224503 76630887439 | no | |
| M279977 | 62416952473 246456318066625057 8126274946016013412926287807909431 | no | |
| M279991 | 26391391679 | no | |
| 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! | |