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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
176852335370477 ~1980
1768537424448898 ~1982
1768873424529538 ~1982
1769069141525538 ~1981
1769093566109778 ~1983
1769297247701598 ~1982
1769323176932318 ~1981
1769333530799918 ~1983
1769543424690338 ~1982
1769623601671838 ~1983
1769633424711938 ~1982
17697915698727039 ~1985
1769917106195038 ~1981
1769987849593778 ~1983
1770061106203678 ~1981
1770089247812478 ~1982
1770199318635838 ~1982
1770259177025918 ~1981
1770313106218798 ~1981
17703313292815679 ~1985
1770449141635938 ~1981
17704491947493919
1770521531156318 ~1983
177053935410797 ~1980
1770683743686878 ~1983
Exp. Prime Factor Digits Year
17708932231325199 ~1984
177091135418237 ~1980
1770919177091918 ~1981
177122335424477 ~1980
177127135425437 ~1980
1771397531419118 ~1983
1771421141713698 ~1981
1771421531426318
1771453106287198 ~1981
177146335429277 ~1980
1771613106296798 ~1981
177175135435037 ~1980
1771787460664638 ~1982
1771799141743938 ~1981
1771937425264898 ~1982
1772077283532338 ~1982
1772101106326078 ~1981
1772101283536178
1772291567133138 ~1983
1772317531695118 ~1983
1772359177235918 ~1981
1772399567167698 ~1983
1772467283594738 ~1982
1772483460845598 ~1982
17724972942345039 ~1984
Exp. Prime Factor Digits Year
1772501567200338 ~1983
177253135450637 ~1980
177259135451837 ~1980
1772597531779118 ~1983
17725975246887139
1772629425430978 ~1982
1772677283628338 ~1982
177278335455677 ~1980
1772801141824098 ~1981
1772893425494338 ~1982
17729891134712979 ~1983
177305935461197 ~1980
177307135461437 ~1980
1773131567401938 ~1983
177314335462877 ~1980
177337135467437 ~1980
1773419744835998 ~1983
1773571167779816710 ~1986
1773643283782898 ~1982
177391135478237 ~1980
1773923425741538 ~1982
1773949709579618 ~1983
1774021851530098 ~1983
17740271703065939 ~1984
1774207177420718 ~1981
Exp. Prime Factor Digits Year
17742591277466499 ~1984
1774301106458078 ~1981
1774313106458798 ~1981
177440335488077 ~1980
1774453106467198 ~1981
1774517141961378 ~1981
177452335490477 ~1980
1774583567866578 ~1983
1774601106476078 ~1981
1774621816325678 ~1983
1774639603377278 ~1983
1774649567887698 ~1983
1774741106484478 ~1981
1774777106486638 ~1981
177482335496477 ~1980
1774951745479438 ~1983
17749572094449279 ~1984
177499135499837 ~1980
177521935504397 ~1980
1775269710107618 ~1983
1775353106521198 ~1981
1775359426086178 ~1982
1775419745675998 ~1983
1775471142037698 ~1981
1775533106531998 ~1981
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