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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.
Exponent Prime Factor Digits Year
10956251219125038 ~1986
10956839219136798 ~1986
10957277657436638 ~1987
10957283219145678 ~1986
10957451219149038 ~1986
10957631219152638 ~1986
10958063219161278 ~1986
109586834602646879 ~1989
10958819219176398 ~1986
109589771753436339 ~1988
10960139219202798 ~1986
10960451219209038 ~1986
10960501657630078 ~1987
10960583219211678 ~1986
109605834603444879
10960619219212398 ~1986
109612973288389119 ~1989
10961399219227998 ~1986
10961711219234238 ~1986
10961759219235198 ~1986
109620135919487039 ~1989
10962383219247678 ~1986
109626171534766399 ~1988
109626311096263119 ~1988
109627931754046899 ~1988
Exponent Prime Factor Digits Year
10963913657834798 ~1987
10964227131570724110 ~1990
109644311754308979 ~1988
10964879219297598 ~1986
109651072850927839 ~1989
10965191219303838 ~1986
10965803219316078 ~1986
10966019219320398 ~1986
10966093657965598 ~1987
10966237657974238 ~1987
10966273657976398 ~1987
10966811219336238 ~1986
10966913658014798 ~1987
10967063219341278 ~1986
10967093658025598 ~1987
10967137658028238 ~1987
109676471096764719 ~1988
109676471754823539
10968239877459138 ~1987
10968371219367438 ~1986
10968563219371278 ~1986
10968653658119198 ~1987
109688175923161199 ~1989
10969019219380398 ~1986
10969043219380878 ~1986
Exponent Prime Factor Digits Year
10969177658150638 ~1987
10969201658152078 ~1987
10969241658154478 ~1987
10969271877541698 ~1987
10969373658162398 ~1987
10969883219397678 ~1986
109699212413382639 ~1989
109702916143362979 ~1990
10970639219412798 ~1986
109709174388366819 ~1989
10971071219421438 ~1986
10971143219422878 ~1986
10971419219428398 ~1986
109714391097143919 ~1988
10971601658296078 ~1987
10971841658310478 ~1987
10971959219439198 ~1986
10972877658372638 ~1987
10972919219458398 ~1986
10973197658391838 ~1987
10973243219464878 ~1986
109733711097337119 ~1988
109735393731003279 ~1989
10973639219472798 ~1986
10973657658419438 ~1987
Exponent Prime Factor Digits Year
10973843219476878 ~1986
109743493292304719 ~1989
109748634609442479 ~1989
109754931536569039 ~1988
10975661658539678 ~1987
10976041658562478 ~1987
10976099219521998 ~1986
109761076366142079 ~1990
10976411219528238 ~1986
109764112853866879
10976723219534478 ~1986
10976783219535678 ~1986
10976939878155138 ~1987
109770594610364799 ~1989
10977311219546238 ~1986
10977623219552478 ~1986
10977671219553438 ~1986
10977677658660638 ~1987
10977779219555598 ~1986
10977899219557998 ~1986
10977899878231938
109782671097826719 ~1988
10978343219566878 ~1986
10978477658708638 ~1987
10978673658720398 ~1987
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