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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
4287989600318478 ~1985
428810385762077 ~1983
4288147428814718 ~1985
4288217257293038 ~1984
4288309943427998 ~1985
4288321943430638 ~1985
4288457343076578 ~1984
42884892315784079 ~1986
4288589343087138 ~1984
4288759428875918 ~1985
4288789943533598 ~1985
428911185782237 ~1983
428947185789437 ~1983
4289653257379198 ~1984
4289939343195138 ~1984
428996385799277 ~1983
4290017257401038 ~1984
4290151429015118 ~1985
4290331772259598 ~1985
4290373943882078 ~1985
4290437257426238 ~1984
4290487686477938 ~1985
429049185809837 ~1983
4290641343251298 ~1984
429068385813677 ~1983
Exp. Prime Factor Digits Year
429089985817997 ~1983
429097185819437 ~1983
4291033257461998 ~1984
4291073257464398 ~1984
429110385822077 ~1983
429121185824237 ~1983
4291213257472798 ~1984
4291291429129118 ~1985
4291319343305538 ~1984
429158385831677 ~1983
4291649343331938 ~1984
4291697257501838 ~1984
4291717257503038 ~1984
429175185835037 ~1983
4291933686709298 ~1985
42920091287602719 ~1986
42920271030086499 ~1985
4292051343364098 ~1984
42921171631004479 ~1986
429233985846797 ~1983
429247185849437 ~1983
4292503429250318 ~1985
4292573257554398 ~1984
4292581257554878 ~1984
4292591772666398 ~1985
Exp. Prime Factor Digits Year
4292887429288718 ~1985
429290385858077 ~1983
42929212404035779 ~1986
4293041343443298 ~1984
429307185861437 ~1983
429308385861677 ~1983
4293187772773678 ~1985
429332385866477 ~1983
4293347343467778 ~1984
4293389343471138 ~1984
4293613686978098 ~1985
429362385872477 ~1983
4293781257626878 ~1984
4293853257631198 ~1984
4293869601141678 ~1985
4294067343525378 ~1984
4294363429436318 ~1985
4294637601249198 ~1985
42946815411298079 ~1987
4294687687149938 ~1985
42947691030744579 ~1985
4294799343583938 ~1984
429491985898397 ~1983
4295021257701278 ~1984
429518385903677 ~1983
Exp. Prime Factor Digits Year
4295261257715678 ~1984
429551985910397 ~1983
4295671687307378 ~1985
4295719429571918 ~1985
4296449343715938 ~1984
4296499773369838 ~1985
42965591804554799 ~1986
4296571429657118 ~1985
42966731031201539 ~1985
429689985937997 ~1983
4297037257822238 ~1984
429704385940877 ~1983
4297259343780738 ~1984
42972591031342179
429757185951437 ~1983
42979811289394319 ~1986
429821985964397 ~1983
4298461257907678 ~1984
429847185969437 ~1983
4298471773724798
4298561343884898 ~1984
4298647773756478 ~1985
4298669601813678 ~1985
4298759343900738 ~1984
42989271117721039 ~1986
654
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26-08-30