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Small Mersenne Prime Factors
Prime numbers of the form Mp= 2p − 1 are called Mersenne primes. For Mp to be prime, p must also be prime.
Any factor q of a Mersenne number 2p − 1 must be of the form 2kp + 1, where integer k ≥ 0. Furthermore, q must be 1 or 7 mod 8.
Exp. Prime Factor Digits Year
250453150090637 ~1981
250454350090877 ~1981
2504563400730098 ~1983
2504639114712466310 ~1987
2504687601124898 ~1984
2504687651218638
2504717200377378 ~1982
250489150097837 ~1981
2505109551123998 ~1984
2505127450922878 ~1983
250514350102877 ~1981
2505143601234338
2505253400840498 ~1983
25053374960567279 ~1986
2505353350749438 ~1983
2505361551179438 ~1984
2505383601291938 ~1984
25054993257148719 ~1985
25055271252763519 ~1984
2505541150332478 ~1982
2505793601390338 ~1984
2505847250584718 ~1983
2505857601405698 ~1984
2505901150354078 ~1982
250598350119677 ~1981
Exp. Prime Factor Digits Year
2505991250599118 ~1983
2506033150361998 ~1982
250607950121597 ~1981
2506129551348398 ~1984
2506277150376638 ~1982
2506279451130238 ~1983
2506373150382398 ~1982
2506619451191438 ~1983
2506657150399438 ~1982
2506843250684318 ~1983
2506843601642338
250685950137197 ~1981
2507017752105118 ~1984
250705150141037 ~1981
2507213150432798 ~1982
2507227401156338 ~1983
2507413150444798 ~1982
25075971354102399 ~1984
25076415817727139 ~1986
2507707250770718 ~1983
2507773150466398 ~1982
2507863250786318 ~1983
250790350158077 ~1981
2508073551776078 ~1984
2508167200653378 ~1982
Exp. Prime Factor Digits Year
2508277752483118 ~1984
2508293150497598 ~1982
2508383652179598 ~1984
2508433551855278 ~1984
2508557200684578 ~1982
2508581752574318 ~1984
250874350174877 ~1981
2509079451634238 ~1983
250910350182077 ~1981
250916350183277 ~1981
25092371204433779 ~1984
250927150185437 ~1981
2509279250927918 ~1983
2509337150560238 ~1982
250949950189997 ~1981
2509627250962718 ~1983
2509627401540338
2509777150586638 ~1982
2509841150590478 ~1982
2509861150591678 ~1982
2509963250996318 ~1983
2509993150599598 ~1982
25100511405628579 ~1985
251017150203437 ~1981
25102193062467199 ~1985
Exp. Prime Factor Digits Year
2510309602474178 ~1984
2510533150631998 ~1982
251059150211837 ~1981
2510609200848738 ~1982
251072350214477 ~1981
2510731251073118 ~1983
25107311205150899
2510741150644478 ~1982
251077150215437 ~1981
25108033615556339 ~1986
2511017954186478 ~1984
251108350221677 ~1981
25111335574715279 ~1986
2511167200893378 ~1982
2511407200912578 ~1982
2511521150691278 ~1982
251177950235597 ~1981
251185150237037 ~1981
251201950240397 ~1981
2512063251206318 ~1983
2512117150727038 ~1982
251228350245677 ~1981
2512297602951298 ~1984
2512303854183038 ~1984
251234350246877 ~1981
449
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25-09-07