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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
289795072318360579 ~1991
289795395216317039 ~1992
28979591579591838 ~1989
28979651579593038 ~1989
28980089110124338310 ~1992
28980383579607678 ~1989
28981343579626878 ~1989
28981499579629998 ~1989
28982351579647038 ~1989
28983203579664078 ~1989
28983431579668638 ~1989
28983719579674398 ~1989
28983743579674878 ~1989
28983959579679198 ~1989
28984391579687838 ~1989
28984619579692398 ~1989
28984883579697678 ~1989
28985039579700798 ~1989
28985063579701278 ~1989
28985219579704398 ~1989
28985303579706078 ~1989
28985783579715678 ~1989
289870731739224399 ~1990
28987823579756478 ~1989
28988171579763438 ~1989
Exponent Prime Factor Digits Year
289905712319245699 ~1991
28990991579819838 ~1989
28991219579824398 ~1989
28992143579842878 ~1989
28992311579846238 ~1989
28992479579849598 ~1989
28992611579852238 ~1989
28992791579855838 ~1989
289932411739594479 ~1990
28993319579866398 ~1989
289934531739607199 ~1990
28994711579894238 ~1989
28994879579897598 ~1989
28994891579897838 ~1989
289949211739695279 ~1990
28995119579902398 ~1989
289951392899513919 ~1991
28995419579908398 ~1989
28995899579917998 ~1989
289964811739788879 ~1990
289977072899770719 ~1991
28997879579957598 ~1989
289981331739887999 ~1990
28998143579962878 ~1989
28998611579972238 ~1989
Exponent Prime Factor Digits Year
28998971579979438 ~1989
28999319579986398 ~1989
28999499579989998 ~1989
29000879580017598 ~1989
29001671580033438 ~1989
29001803580036078 ~1989
290018771740112639 ~1990
29002199580043998 ~1989
29002439580048798 ~1989
290029131740174799 ~1990
29004247539478994310 ~1994
29004551580091038 ~1989
29004719580094398 ~1989
290049774060696799 ~1991
29005583580111678 ~1989
29006759580135198 ~1989
29006843580136878 ~1989
290070795221274239 ~1992
29007311580146238 ~1989
29007551580151038 ~1989
29007821179848490310 ~1993
29008223580164478 ~1989
29008379580167598 ~1989
29008631580172638 ~1989
290086992900869919 ~1991
Exponent Prime Factor Digits Year
290087112900871119 ~1991
29008751580175038 ~1989
29009243580184878 ~1989
29009663580193278 ~1989
29009891580197838 ~1989
29010011580200238 ~1989
290107496962579779 ~1992
290107571740645439 ~1990
29010791580215838 ~1989
29010911580218238 ~1989
29011259580225198 ~1989
29011739580234798 ~1989
29011771121849438310 ~1993
29012003580240078 ~1989
29012471580249438 ~1989
29012519580250398 ~1989
29012663580253278 ~1989
29013359580267198 ~1989
29013431580268638 ~1989
29013623580272478 ~1989
29014091580281838 ~1989
29014103580282078 ~1989
29014259580285198 ~1989
29015663580313278 ~1989
29015771580315438 ~1989
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25-05-04