| 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! | |
| 32 | M756839 | Mersenne Prime! | |
| 33 | M859433 | Mersenne Prime! | |
| 34 | M1257787 | Mersenne Prime! | |
| 35 | M1398269 | Mersenne Prime! | |
| 36 | M2976221 | Mersenne Prime! | |
| 37 | M3021377 | Mersenne Prime! | |
| M3915013 | 25580694943 674682148803555499471 | no | |
| M3915031 | 7015735553 627563809177 | no | |
| M3915047 | 23259278668603223 | no | |
| M3915061 | 23490367 | no | |
| M3915077 | 23490463 | no | |
| M3915101 | 41678912413681 | no | |
| M3915143 | 2286443513 6802607944217 | no | |
| M3915157 | 78298848599598603542567 | no | |
| M3915167 | 11726856262185607 15939083700238697 309918667546422239 | no | |
| M3915169 | 4510274689 274565830112547577 | no | |
| M3915187 | 311789111537593 | no | |
| M3915239 | 46894528536182611327 | no | |
| M3915251 | 7830503 14698352748365833 | no | |
| M3915257 | 54813599 | no | |
| M3915259 | 156610361 1696599182471 16383817743769313 | no | |
| M3915277 | 267537447244807 | no | |
| M3915293 | 3947390379771099892917461256161 | no | |
| M3915341 | 23492047 1263497916983359 | no | |
| M3915343 | 352380871 | no | |
| M3915361 | 102699919031 6885704079170849 34300933070804266033 | no | |
| M3915397 | 1811137359497 14839190183327 10149935527646621359 | no | |
| M3915403 | 728264959 19580747913896977 | no | |
| M3915419 | 3641339671 | no | |
| M3915421 | 113454156772162281479 | no | |
| M3915427 | 375880993 551117565809116482793 | no | |
| M3915433 | 62646929 | no | |
| M3915469 | 682040431615313 | no | |
| M3915473 | 334592829743 5794586802161 6176624171486033849 | no | |
| M3915487 | 70478767 | no | |
| M3915511 | 39155111 14935199862049 | no | |
| M3915521 | 88633412850816724510296279059033408879278793 | no | |
| M3915533 | 9203437728385284017 | no | |
| M3915553 | 3692833040880600389400769 | no | |
| M3915557 | 1425238481074301354759 | no | |
| M3915629 | 783125801 207129760237385009 28257446897739422359 | no | |
| M3915631 | 5933049522437159 | no | |
| M3915697 | 58751575133578207 313839922078017280921010881 | no | |
| M3915731 | 7831463 | no | |
| M3915761 | 160820320246304881 4650675196793829199 | no | |
| M3915781 | 23494687 3845296943 161173545961 5480018036071 | no | |
| M3915809 | 66380794169 | no | |
| M3915817 | 94700118329 | no | |
| M3915823 | 75530488178240487649816679 | no | |
| M3915839 | 563880817 84182706823 185254232563316599 4015935764232793601 | no | |
| M3915853 | 6041879408745934631 38449991409780153743 | no | |
| M3915887 | 845831593 916317559 | no | |
| M3915893 | 109143769697 2207059949089 2189640661830483031 | no | |
| M3915931 | 665588975078017 | no | |
| M3915937 | 23495623 25763881516007 | no | |
| M3915941 | 103702106199641 23335006017677777 | no | |
| M3915953 | 321051148031389333827319 | no | |
| M3915959 | 7831919 164470279 4049101607 | no | |
| M3915971 | 130849696718371720273 | no | |
| M3915997 | 324807418172834431 | no | |
| 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! | |