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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
2539571116312351910
2539573406331698 ~1983
2539577152374638 ~1982
2539577609498498
25395772793534719
2539633406341298 ~1983
253987150797437 ~1981
2540071406411378 ~1983
2540099457217838 ~1983
25401412184521279 ~1985
2540183183401212710 ~1987
254023150804637 ~1981
2540479254047918 ~1983
2540537609728898 ~1984
2540597152435838 ~1982
2540617152437038 ~1982
254090350818077 ~1981
2540933355730638 ~1983
2540981203278498 ~1982
2541043406566898 ~1983
2541127254112718 ~1983
2541563813300178 ~1984
254168350833677 ~1981
254174350834877 ~1981
254191150838237 ~1981
Exp. Prime Factor Digits Year
2541997152519838 ~1982
2542051254205118 ~1983
2542109203368738 ~1982
254222350844477 ~1981
2542471406795378 ~1983
25424811983135199 ~1985
254261950852397 ~1981
2542649355970878 ~1983
2542699254269918 ~1983
2542733355982638 ~1983
25429511068039439 ~1984
2543327203466178 ~1982
2543389763016718 ~1984
254339950867997 ~1981
254342350868477 ~1981
2543441152606478 ~1982
2543461406953778 ~1983
254369950873997 ~1981
254377150875437 ~1981
2543873356142238 ~1983
2543921152635278 ~1982
254401150880237 ~1981
2544041152642478 ~1982
2544041203523298
254413150882637 ~1981
Exp. Prime Factor Digits Year
2544131203530498
254453950890797 ~1981
2544637152678238 ~1982
2544643610714338 ~1984
2544767458058078 ~1983
25447671425069539
2544959203596738 ~1982
25450011832400739 ~1985
2545021152701278 ~1982
2545079203606338 ~1982
2545141152708478 ~1982
25451411221667699
2545211203616898 ~1982
254527150905437 ~1981
2545271203621698
2545307203624578 ~1982
254545150909037 ~1981
2545493356369038 ~1983
2545651458217198 ~1983
2545657152739438 ~1982
254570350914077 ~1981
2545757152745438 ~1982
2545853152751198 ~1982
254588350917677 ~1981
2545927458266878 ~1983
Exp. Prime Factor Digits Year
25461496670910399 ~1986
2546237203698978 ~1982
25462394124907199 ~1986
2546293560184478 ~1984
2546317152779038 ~1982
25463171782421919
254636350927277 ~1981
2546563254656318 ~1983
2546581152794878 ~1982
254675950935197 ~1981
2546837152810238 ~1982
2546899611255778 ~1984
254713150942637 ~1981
2547247458504478 ~1983
2547253152835198 ~1982
254732350946477 ~1981
2547613611427138 ~1984
2547647203811778 ~1982
254765950953197 ~1981
25477911070072239 ~1984
2547817152869038 ~1982
2547847407655538 ~1983
25479291375881679 ~1985
254795950959197 ~1981
254810350962077 ~1981
450
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25-07-08