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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
29141832389630079 ~1985
291428358285677 ~1981
2914313699435138 ~1984
2914393699454338 ~1984
2914481233158498 ~1983
29145011165800419 ~1985
2914697233175778 ~1983
2914801466368178 ~1984
2914931233194498 ~1983
291503958300797 ~1981
2915309233224738 ~1983
291535158307037 ~1981
2915441233235298 ~1983
291554358310877 ~1981
2915713699771138 ~1984
2915837233266978 ~1983
2915951758147278 ~1984
2915977699834498 ~1984
2916031524885598 ~1984
29160311691297999
29161191458059519 ~1985
291614358322877 ~1981
2916161233292898 ~1983
2916169641557198 ~1984
291632358326477 ~1981
Exp. Prime Factor Digits Year
291638358327677 ~1981
29166111224976639 ~1985
2916701175002078 ~1983
291697158339437 ~1981
2917073408390238 ~1984
291709158341837 ~1981
29170991225181599 ~1985
2917129875138718 ~1984
2917261175035678 ~1983
2917289233383138 ~1983
2917289408420478
2917357175041438 ~1983
2918129408538078 ~1984
291829158365837 ~1981
2918327758765038 ~1984
2918359291835918 ~1983
291841158368237 ~1981
2918561233484898 ~1983
2918593700462338 ~1984
29185931576040239
2918717700492098 ~1984
291893958378797 ~1981
2919011233520898 ~1983
291908358381677 ~1981
29191098874091379 ~1987
Exp. Prime Factor Digits Year
2919361175161678 ~1983
2919377175162638 ~1983
291944358388877 ~1981
29195417474024979 ~1987
2919557175173438 ~1983
2919727467156338 ~1984
2919803759148798 ~1984
29199672569570979 ~1986
292001958400397 ~1981
2920031525605598 ~1984
2920171525630798 ~1984
2920343934509778 ~1984
2920349700883778 ~1984
2920363292036318 ~1983
2920399292039918 ~1983
2920513700923138 ~1984
2920579525704238 ~1984
2920751233660098 ~1983
292087158417437 ~1982
2920871233669698
292111158422237 ~1982
2921293467406898 ~1984
2921417175285038 ~1983
292153158430637 ~1982
29215311227043039
Exp. Prime Factor Digits Year
2921593175295598 ~1983
2921689642771598 ~1984
292177158435437 ~1982
292181958436397 ~1982
2921911292191118 ~1983
2921951233756098 ~1983
2922103467536498 ~1984
2922121175327278 ~1983
292219158443837 ~1982
2922221233777698 ~1983
2922307292230718 ~1983
2922391292239118 ~1983
292253958450797 ~1982
2922583701419938 ~1984
292265958453197 ~1982
29227211402906099 ~1985
2922761175365678 ~1983
29228331812156479 ~1985
292291158458237 ~1982
2923033467685298 ~1984
292310358462077 ~1982
2923157701557698 ~1984
292316358463277 ~1982
2923351526203198 ~1984
2923367701608098 ~1984
505
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26-03-15