| 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! | |
| M245023 | 8628720657127 1574556708142447 | no | |
| M245033 | 188374999543 | no | |
| M245039 | 10291639 23288153931219055831338511261349249 | no | |
| M245083 | 499969321 4897738673 | no | |
| M245087 | 760891692649449401 | no | |
| 331 | M245107 | 40808469706615931626735435488089 PRP73753 click to show decimal representation | PRP |
| M245129 | 1961033 965975665140286207334390777 | no | |
| M245131 | 220127639 63036949108271 356777436559315411874471 | no | |
| M245149 | 52304990641 | no | |
| M245171 | 33649910002697 29667272726100263 | no | |
| M245173 | 3922769 308108599876101994379853896561 | no | |
| M245177 | 94147969 7539869140384769 143606888414543745043249 61766618998458010633095487 3741596077321811955046123759 | no | |
| M245183 | 490367 71713575671 840142596703 591736937228353638569 | no | |
| M245209 | 376620926670361 33909640460686926409 | no | |
| M245257 | 458630591 | no | |
| M245261 | 48561679 76521433 328454111101294019627725259352463 | no | |
| M245269 | 23055287 | no | |
| M245279 | 490559 27961807 559236121 634470057113 414252802440479 | no | |
| M245291 | 14055889517280369361 | no | |
| M245299 | 69174319 33675415799576927 | no | |
| M245317 | 1471903 5965687494761 | no | |
| M245321 | 1439933866493047 50112124762260559 | no | |
| M245339 | 743380550280743 7571155102304641 | no | |
| M245383 | 100656061449529 1794188468218042249912304502791 | no | |
| M245389 | 64776360275297647289 | no | |
| M245407 | 751927049 412278033971122053479 | no | |
| M245411 | 66751793 | no | |
| M245417 | 3347487881 675173580377 36321135150480239 | no | |
| M245419 | 353734362821763271 | no | |
| M245437 | 80503337 4746764590124497 776534493562239977 | no | |
| M245471 | 1963769 67243343857 7600513172639 21271792013002670696657173481 | no | |
| M245477 | 61565633072863 854455716615559 | no | |
| M245501 | 1964009 906376783725833687 | no | |
| M245513 | 27006431 3653223619481 417612635840736148369 170184916582082991733163287 | no | |
| M245519 | 491039 | no | |
| M245521 | 241112978962064457487 | no | |
| M245527 | 11635026560422117926189359 | no | |
| M245561 | 240123297217 | no | |
| M245563 | 783837097 833099571939169 186286136739142903 | no | |
| M245587 | 5894089 | no | |
| M245591 | 37329833 | no | |
| M245621 | 1964969 | no | |
| M245627 | 306729152747846402927 | no | |
| M245629 | 125270791 971987366475407301240280817 | no | |
| M245639 | 491279 912682512617 510920894286807001 | no | |
| M245653 | 104156873 128978311018145207 | no | |
| M245671 | 9826841 | no | |
| M245681 | 38817599 14370417765943 512989101490786446990021617 | no | |
| M245711 | 491423 1278188623 6510211720823 51716367211823 6223623172474294313 18088835422117836071 808919707982440775009 | no | |
| M245719 | 39806479 1371450844591038796817 | no | |
| M245723 | 129191211676319820529 | no | |
| M245741 | 21133727 141546817 339494140393 34082108011259513634194316262073 | no | |
| M245753 | 1474519 1810411116786352832617 319668734820941995924559 616497231621032782183718897 | no | |
| M245759 | 12329237513 1262397823243846299503671 60329221423207722032602758691897 | no | |
| M245783 | 970459431784756278114357353 | no | |
| M245789 | 413206211039 5166366305277799 1202231247507755187066247 | no | |
| M245821 | 261872872720031115869375839 | no | |
| M245863 | 8359343 619862419711 | no | |
| M245897 | 13770233 497986549558471 | no | |
| M245899 | 3935249481407449033 | no | |
| M245909 | 15246359 1134938889521 | no | |
| M245911 | 4181641682897399561170601 | no | |
| M245977 | 8294344441 334043757650249 | no | |
| M245981 | 9347279 | no | |
| M245983 | 411283577 24655860023 | no | |
| M245989 | 549047449 18832917841 7859819107277881 | 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! | |