| 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! | |
| M803027 | 286627868250303277039203627791 | no | |
| M803041 | 15032927521 | no | |
| M803057 | 955835382023 | no | |
| M803119 | 162230039 7767766969 | no | |
| M803141 | 3933189851830692534853703 | no | |
| M803171 | 6425369 40158551 | no | |
| M803189 | 65625082530607 | no | |
| M803207 | 33639741147748108178502972529 | no | |
| M803227 | 32129081 2849757469882759 19722491028847842875321711 | no | |
| M803237 | 24768678476042993 | no | |
| M803269 | 6385988551 3005452465404593 | no | |
| M803273 | 449832881 46979334386435911 1348766422307439632921324532955339441 | no | |
| M803287 | 508107945833 | no | |
| M803311 | 1580916049 14922305137 306575610041 38945110123519 244231481382465901891559 | no | |
| M803323 | 1146864111004311994798657 | no | |
| M803333 | 424441463391803801 558066118536960392669767 123724792012045768067326063 | no | |
| M803347 | 953411633001438372169 | no | |
| M803359 | 19976983791970780943 | no | |
| M803389 | 507073428353 | no | |
| M803393 | 11247503 40613122937 616378232669833 | no | |
| M803399 | 6427193 549005920247 25943119148571300482231 55030773179862822654352463 | no | |
| M803417 | 23813279881 | no | |
| M803441 | 9260460967 2519795909695871 | no | |
| M803443 | 224964041 1369066873 2694747823 | no | |
| M803447 | 14462047 380968857097 | no | |
| M803449 | 125923529978589219526674704914180518967 | no | |
| M803461 | 424227409 | no | |
| M803483 | 1606967 1238938230475807 | no | |
| M803501 | 1427428024858493663 | no | |
| M803513 | 783558829383813151 33106926094377753381441487 | no | |
| M803519 | 4503691854241 | no | |
| M803549 | 31188950887 181608502393 237869929879665373319 | no | |
| M803587 | 121344627695364942919 183864679188768098795977 | no | |
| M803591 | 1607183 1197350591 20695114124499964793543 | no | |
| M803609 | 287006350656841 6755592603482621039983 | no | |
| M803611 | 175489702895953 30302357050964400773559359 | no | |
| M803623 | 73737947212471 | no | |
| M803629 | 531740580259244609053679 | no | |
| M803651 | 1094572663 21753450290281 | no | |
| M803659 | 615064270789262100817 2311789598021004203435510623 | no | |
| M803669 | 485872559993 42787475783031311 | no | |
| M803687 | 52818309641 12427642721044167192553 | no | |
| M803717 | 107698079 226516109659507014165697079 | no | |
| M803729 | 65811013326943321491772577 | no | |
| M803731 | 3055785263 7392590748503 75726023805721 | no | |
| M803741 | 2950668218822211409 | no | |
| M803749 | 115739857 483233188777 15299505301611977 | no | |
| M803813 | 323473880640649 | no | |
| M803819 | 47573195383616259707559814183 | no | |
| M803849 | 10154220569 776088669414613073 | no | |
| M803857 | 16146271703 19877806442567 | no | |
| M803867 | 19275122927 | no | |
| M803893 | 34542614598742251889 | no | |
| M803897 | 25210722806287 | no | |
| M803911 | 8492440236367 132973684168359105238897 3679551455566641072458879 | no | |
| M803921 | 2036607342060073 58372166428449119140087 | no | |
| M803927 | 72353431 | no | |
| M803939 | 23688079537013537 | no | |
| M803963 | 69478008121831 4790637895119355743911 79092118828199077512978137 | no | |
| M803987 | 72358831 | no | |
| M803989 | 7921415892535198607 | no | |
| 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! | |