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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
4649591836926398
4649741278984478 ~1984
464975992995197 ~1983
465001193000237 ~1983
4650011372000898
465031193006237 ~1983
465032393006477 ~1983
4650391465039118 ~1985
465047993009597 ~1983
465049193009837 ~1983
4650677651094798 ~1985
4650797279047838 ~1984
4650847465084718 ~1985
465098393019677 ~1983
4651027837184878 ~1985
4651093279065598 ~1984
4651201279072078 ~1984
4651453279087198 ~1984
4651459465145918 ~1985
46514693628145839 ~1987
46516011767608399 ~1986
465173993034797 ~1983
4651813279108798 ~1984
4652027372162178 ~1985
4652099837377838 ~1985
Exp. Prime Factor Digits Year
4652239465223918 ~1985
46522931023504479 ~1986
46525793349856899 ~1987
465260393052077 ~1983
46526031708435821711
465269993053997 ~1983
4652737279164238 ~1984
4652909651407278 ~1985
465305993061197 ~1983
4653071372245698 ~1985
46531391954318399 ~1986
465319193063837 ~1983
46532771116786499 ~1986
4653401279204078 ~1984
4653403744544498 ~1985
4653421279205278 ~1984
46539411396182319 ~1986
4653953279237198 ~1984
4653989372319138 ~1985
465404393080877 ~1983
4654241372339298 ~1985
465427193085437 ~1983
4654541279272478 ~1984
4654807465480718 ~1985
4655047744807538 ~1985
Exp. Prime Factor Digits Year
46551731024138079 ~1986
465541193108237 ~1983
465553193110637 ~1983
4655537279332238 ~1984
465566393113277 ~1983
4655767138741856710 ~1988
465583193116637 ~1983
4656053279363198 ~1984
46564091024409999 ~1986
4656481279388878 ~1984
465655193131037 ~1983
4656721279403278 ~1984
4656947838250478 ~1985
4657049372563938 ~1985
46571172514843199 ~1987
465715193143037 ~1983
465719993143997 ~1983
4657229372578338 ~1985
4657397372591778 ~1985
4657537125753499110 ~1988
4657561279453678 ~1984
465757193151437 ~1983
4657771745243378 ~1985
46577871117868899 ~1986
465781193156237 ~1983
Exp. Prime Factor Digits Year
465788393157677 ~1983
46579092235796339 ~1986
46580471583735999 ~1986
4658237279494238 ~1984
4658341279500478 ~1984
465857993171597 ~1983
46587011397610319 ~1986
4658777372702178 ~1985
4658791745406578 ~1985
46589231584033839 ~1986
465893993178797 ~1983
46592032329601519 ~1986
465931193186237 ~1983
465949193189837 ~1983
4659497372759778 ~1985
4659763465976318 ~1985
4659793279587598 ~1984
4659797279587838 ~1984
46598031491136979 ~1986
4659881372790498 ~1985
4659911372792898 ~1985
4659929372794338 ~1985
46599297083092099
466007993201597 ~1983
46601773262123919 ~1987
672
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26-01-11