| 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! | |
| M523007 | 1068362089111 9011808095321 | no | |
| M523021 | 3138127 | no | |
| M523031 | 4883017417 64671737089 1095232165231241 | no | |
| M523049 | 15311254409147953 | no | |
| M523093 | 12554233 9322777801141913 53373661936779131711 | no | |
| M523109 | 1225074237403450652047 | no | |
| M523129 | 15693871 926076436057 7547674966984003516519 | no | |
| M523169 | 4185353 16741409 1393722217 75952421646307643641 | no | |
| M523177 | 24195976743383 | no | |
| M523207 | 3567305431084529 | no | |
| M523213 | 11510687 | no | |
| M523219 | 12557257 73485062113 55853746143305083703 | no | |
| M523261 | 649235087142608233857404536769 | no | |
| M523297 | 28258039 60496872003233910416942189951 | no | |
| M523349 | 14747152325499288592979750809391 | no | |
| M523351 | 1691470433 78863762191 | no | |
| M523357 | 56970549593 211179783071 | no | |
| M523387 | 6382173612407833 2472097747263049318991 | no | |
| M523403 | 1046807 41593850607666457 355461955140126487 | no | |
| M523417 | 13565921807 668314528111 811295303167 | no | |
| M523427 | 2170499088484663 | no | |
| M523433 | 606286016789729974832279 | no | |
| M523459 | 38818181246306239 150952086696672821289953 | no | |
| M523463 | 75378673 117255713 319253998410504239314703 | no | |
| M523489 | 340718257478583634108910598587617 | no | |
| M523493 | 2164677058553 40313121060668849 5457626161945404208022719 | no | |
| M523511 | 4188089 | no | |
| M523519 | 9423343 25909503957913 754367136366313 8420919822043633 | no | |
| M523541 | 1100483183 1522456180919 107963295048903143 33616394774377173769 | no | |
| M523553 | 3141319 23252894462921 | no | |
| M523571 | 16754273 16286886451153 14190192734473057 | no | |
| M523573 | 32804210811377 | no | |
| M523577 | 4188617 2478613519 | no | |
| M523597 | 68845387183885976857 | no | |
| M523603 | 5236031 7959812807 23258977240649 595621612319526503 798443587224017922128521 | no | |
| M523639 | 25134673 837748080964009 40970392393535599 | no | |
| M523657 | 4334832647 380346741497 | no | |
| M523667 | 565426301249 | no | |
| M523669 | 153958687 | no | |
| M523673 | 3491565638543 6763741544901707429009 316995392195726713845963232586031239 | no | |
| M523717 | 61220806609842521 230744497008715246085033 | no | |
| M523729 | 11564719101075271 1054913498831337139521377 492225238819388017054814953 | no | |
| M523741 | 1956696377 73809771649 | no | |
| M523759 | 294352559 | no | |
| M523763 | 13617839 | no | |
| M523771 | 1410692337599 259867939345711 45408225053248777 | no | |
| M523777 | 3183516607 6687584737 17962242013162015903 | no | |
| M523793 | 565553922321828955199 | no | |
| M523801 | 598742556914723323903951729 | no | |
| M523867 | 759135645602119 | no | |
| M523877 | 4206732311 249377078481858336250122041 | no | |
| M523907 | 1302164904795238181134374249213256791422177 | no | |
| M523937 | 1398911791 | no | |
| M523949 | 208531703 51048351071 | no | |
| M523969 | 13820704234395952787492856247 | no | |
| M523987 | 130996751 10991151313 | 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! | |