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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
717635391435270799 ~1992
717640571707984556711 ~1997
71764681114823489710 ~1995
717661191435322399 ~1992
717668991435337999 ~1992
717670374306022239 ~1994
717674991435349999 ~1992
71768273229658473710 ~1995
717740631435481279 ~1992
717752391435504799 ~1992
717755031435510079 ~1992
717770631435541279 ~1992
717782511435565039 ~1992
717787191435574399 ~1992
717809391435618799 ~1992
71781049157918307910 ~1995
717843711435687439 ~1992
717855591435711199 ~1992
717861711435723439 ~1992
71786899129216418310 ~1995
717875391435750799 ~1992
717880191435760399 ~1992
717885111435770239 ~1992
717907311435814639 ~1992
717937311435874639 ~1992
Exponent Prime Factor Digits Year
717961431435922879 ~1992
717963111435926239 ~1992
717970311435940639 ~1992
717994934307969599 ~1994
71799773100519682310 ~1994
71800919531326800710 ~1996
718010391436020799 ~1992
718017111436034239 ~1992
71802331287209324110 ~1996
718037597180375919 ~1994
718044711436089439 ~1992
718068734308412399 ~1994
718069191436138399 ~1992
718119231436238479 ~1992
718122111436244239 ~1992
71812327172349584910 ~1995
718123934308743599 ~1994
718135431436270879 ~1992
71813681215441043110 ~1995
718152774308916639 ~1994
718193117181931119 ~1994
71820017100548023910 ~1994
718201734309210399 ~1994
718217511436435039 ~1992
718242231436484479 ~1992
Exponent Prime Factor Digits Year
718263231436526479 ~1992
718269591436539199 ~1992
718293111436586239 ~1992
718345134310070799 ~1994
71834641114935425710 ~1995
718353831436707679 ~1992
718359711436719439 ~1992
718360911436721839 ~1992
718369934310219599 ~1994
718392134310352799 ~1994
718392414310354479 ~1994
718401231436802479 ~1992
718416111436832239 ~1992
718449111436898239 ~1992
718479774310878639 ~1994
718483974310903839 ~1994
718493391436986799 ~1992
718512711437025439 ~1992
718540431437080879 ~1992
718543191437086399 ~1992
718574174311445039 ~1994
718575715748605699 ~1994
718588214311529279 ~1994
718631631437263279 ~1992
718655511437311039 ~1992
Exponent Prime Factor Digits Year
718675277186752719 ~1994
71869657172487176910 ~1995
718696911437393839 ~1992
718699911437399839 ~1992
718712031437424079 ~1992
718715117187151119 ~1994
718734974312409839 ~1994
718736991437473999 ~1992
718738311437476639 ~1992
718767475750139779 ~1994
71879989517535920910 ~1996
71880271115008433710 ~1995
718822675750581379 ~1994
718828795750630339 ~1994
718834911437669839 ~1992
718853774313122639 ~1994
718859031437718079 ~1992
718860711437721439 ~1992
71888587129399456710 ~1995
718905231437810479 ~1992
71891563115026500910 ~1995
71893231115029169710 ~1995
718937511437875039 ~1992
718941711437883439 ~1992
718985511437971039 ~1992
2237
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25-04-20