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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
29996819599936398 ~1989
29997263599945278 ~1989
29997419599948398 ~1989
29997683599953678 ~1989
29997839599956798 ~1989
29998439599968798 ~1989
299988195399787439 ~1992
29999699599993998 ~1989
29999999599999998 ~1989
30000023600000478 ~1989
30000611600012238 ~1989
30000683600013678 ~1989
300007697200184579 ~1992
300012971800077839 ~1991
30001571600031438 ~1989
30001739600034798 ~1989
30001871600037438 ~1989
30002123600042478 ~1989
30002891600057838 ~1989
300035931800215599 ~1991
30004343600086878 ~1989
30004451600089038 ~1989
30004571600091438 ~1989
30004739600094798 ~1989
300051971800311839 ~1991
Exponent Prime Factor Digits Year
30005243600104878 ~1989
300052571800315439 ~1991
30005291600105838 ~1989
30006299600125998 ~1989
300065897201581379 ~1992
30006919102023524710 ~1992
300069712400557699 ~1991
30007751600155038 ~1989
300077939602493779 ~1992
30009443600188878 ~1989
30009659600193198 ~1989
30009803600196078 ~1989
30009851600197038 ~1989
300103033001030319 ~1991
30010451600209038 ~1989
300105771800634639 ~1991
30010583600211678 ~1989
300110771800664639 ~1991
30011483600229678 ~1989
30012239600244798 ~1989
30012611600252238 ~1989
30012791600255838 ~1989
30012971600259438 ~1989
30013163600263278 ~1989
30013499600269998 ~1989
Exponent Prime Factor Digits Year
30013523600270478 ~1989
30013751600275038 ~1989
30014219600284398 ~1989
30014591600291838 ~1989
30014819600296398 ~1989
30014951600299038 ~1989
300163075402935279 ~1992
30016439600328798 ~1989
300167331801003999 ~1991
30016799600335998 ~1989
30017423600348478 ~1989
30017651600353038 ~1989
300177914802846579 ~1992
300181672401453379 ~1991
30018203600364078 ~1989
30018239600364798 ~1989
30019079600381598 ~1989
300200512401604099 ~1991
30020591600411838 ~1989
300206939606621779 ~1992
30020951600419038 ~1989
30021059600421198 ~1989
300211513002115119 ~1991
30022259600445198 ~1989
30022439600448798 ~1989
Exponent Prime Factor Digits Year
30022571600451438 ~1989
30022691600453838 ~1989
30022703600454078 ~1989
30022823600456478 ~1989
30022991600459838 ~1989
300232099006962719 ~1992
30024359600487198 ~1989
300248877205972899 ~1992
30024899600497998 ~1989
300250131801500799 ~1991
30025199600503998 ~1989
30025679600513598 ~1989
30025811600516238 ~1989
30025883600517678 ~1989
300260571801563439 ~1991
30026291600525838 ~1989
30026459600529198 ~1989
300266395404795039 ~1992
30026651600533038 ~1989
30029039600580798 ~1989
300290811801744879 ~1991
30029711600594238 ~1989
30030131600602638 ~1989
30030359600607198 ~1989
30030719600614398 ~1989
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25-05-04