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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
29986823599736478 ~1989
299884571799307439 ~1991
29988551599771038 ~1989
29988599599771998 ~1989
29989331599786638 ~1989
29989859599797198 ~1989
29991359599827198 ~1989
29991743599834878 ~1989
29991803599836078 ~1989
299919434798710899 ~1992
29992043599840878 ~1989
299926618997798319 ~1992
299939211799635279 ~1991
299943371799660239 ~1991
29994983599899678 ~1989
29995523599910478 ~1989
299955971799735839 ~1991
29996723599934478 ~1989
29996819599936398 ~1989
29997263599945278 ~1989
29997419599948398 ~1989
29997839599956798 ~1989
299988195399787439 ~1992
29999699599993998 ~1989
29999999599999998 ~1989
Exponent Prime Factor Digits Year
30000023600000478 ~1989
30000611600012238 ~1989
30000683600013678 ~1989
300007697200184579 ~1992
300012971800077839 ~1991
30001739600034798 ~1989
30001871600037438 ~1989
300035931800215599 ~1991
30004571600091438 ~1989
30004739600094798 ~1989
300051971800311839 ~1991
30005243600104878 ~1989
300052571800315439 ~1991
30006299600125998 ~1989
300065897201581379 ~1992
30006919102023524710 ~1992
300069712400557699 ~1991
30007751600155038 ~1989
300077939602493779 ~1992
30009443600188878 ~1989
30009659600193198 ~1989
30009803600196078 ~1989
300103033001030319 ~1991
300105771800634639 ~1991
30010583600211678 ~1989
Exponent Prime Factor Digits Year
300110771800664639 ~1991
30012611600252238 ~1989
30012791600255838 ~1989
30012971600259438 ~1989
30013163600263278 ~1989
30013523600270478 ~1989
30014219600284398 ~1989
30014591600291838 ~1989
300163075402935279 ~1992
30016439600328798 ~1989
300167331801003999 ~1991
30017651600353038 ~1989
300177914802846579 ~1992
300181672401453379 ~1991
30018203600364078 ~1989
300200512401604099 ~1991
300206939606621779 ~1992
30020951600419038 ~1989
30021059600421198 ~1989
300211513002115119 ~1991
30022439600448798 ~1989
30022571600451438 ~1989
300232099006962719 ~1992
300248877205972899 ~1992
300250131801500799 ~1991
Exponent Prime Factor Digits Year
30025199600503998 ~1989
30025679600513598 ~1989
30025811600516238 ~1989
30025883600517678 ~1989
300260571801563439 ~1991
30026459600529198 ~1989
300266395404795039 ~1992
30026651600533038 ~1989
30029039600580798 ~1989
300290811801744879 ~1991
30029711600594238 ~1989
30030131600602638 ~1989
30030719600614398 ~1989
300308811801852879 ~1991
30032039600640798 ~1989
30032699600653998 ~1989
30032771600655438 ~1989
300330374805285939 ~1992
30033359600667198 ~1989
30034379600687598 ~1989
30034811600696238 ~1989
300353934204955039 ~1991
300355912402847299 ~1991
30037391600747838 ~1989
30037439600748798 ~1989
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24-10-27