| 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! | |
| M2047039 | 380857947676823 4060990824322153 | no | |
| M2047061 | 35497343764919 | no | |
| M2047063 | 147388537 1211861297 21190197209257 10882793641096697 | no | |
| M2047091 | 4094183 4309442926659281034407041 | no | |
| M2047121 | 163769681 | no | |
| M2047141 | 12282847 1950652653511150532353 | no | |
| M2047159 | 69603407 158351842969 | no | |
| M2047163 | 12332109913 | no | |
| M2047181 | 766275996463729 9009020255329121 980663017473080153 | no | |
| M2047183 | 341827386494063 37757508857853679 | no | |
| M2047211 | 8438214771911 | no | |
| M2047217 | 6170312039 | no | |
| M2047237 | 204388024224352063 | no | |
| M2047303 | 307454276804569151 281543360738517859183 | no | |
| M2047349 | 982727521 | no | |
| M2047351 | 229303313 15038370447983 106739565692951 862240104738737 65331771399226433 | no | |
| M2047387 | 106201931526007 24464824534040716817 103696525325881731228893881 | no | |
| M2047393 | 81895721 850516944137801 509733527768626482459001 | no | |
| M2047439 | 4094879 | no | |
| M2047471 | 514083113623 148156279164398122951 | no | |
| M2047481 | 819893291641 | no | |
| M2047501 | 9090904441 | no | |
| M2047517 | 3790445705726178481 | no | |
| M2047523 | 786248833 | no | |
| M2047541 | 75630132709361608361 | no | |
| M2047547 | 7176298083339862309073 | no | |
| M2047559 | 16380473 479028311804281 32196072086154704753 | no | |
| M2047567 | 22150579807 1507483958506271 | no | |
| M2047571 | 49746458189993 5764274594954127793 1573834256212759551223 | no | |
| M2047597 | 127114821761 | no | |
| M2047627 | 540573529 14380770737116443767 | no | |
| M2047637 | 5765272072098198690676352617 | no | |
| M2047699 | 106304927301013681358849991827636315328001 | no | |
| M2047729 | 398369295119 4099336398727 | no | |
| M2047733 | 59753728216072871 60914859308772449 26421471067569532169 | no | |
| M2047741 | 638895193 2455203845008431104647 | no | |
| M2047781 | 882878855575607586953 | no | |
| M2047811 | 6405552809 585679280152866613686463 | no | |
| M2047879 | 940390132559 249117767402639 | no | |
| M2047933 | 101294862047 | no | |
| M2047937 | 159739087 146579042839 | no | |
| M2047957 | 81918281 819182801 168057134174760329 373712798413531439 | no | |
| M2047967 | 13946655271 27463237471 | no | |
| M2047993 | 324211677002833 | no | |
| 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! | |