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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
3480383036960766079 ~1998
3480460436960920879 ~1998
3480611516961223039 ~1998
348062773208837663910 ~1999
3480816596961633199 ~1998
3480938996961877999 ~1998
3481055036962110079 ~1998
348108227278486581710 ~1999
3481127636962255279 ~1998
3481179236962358479 ~1998
3481292516962585039 ~1998
3481312916962625839 ~1998
3481337396962674799 ~1998
348134401208880640710 ~1999
348134599626642278310 ~2000
3481471796962943599 ~1998
348165733208899439910 ~1999
3481698596963397199 ~1998
3481726796963453599 ~1998
3481903973830094367111 ~2002
3481948316963896639 ~1998
3481974116963948239 ~1998
348198941208919364710 ~1999
3482081036964162079 ~1998
3482106236964212479 ~1998
Exponent Prime Factor Digits Year
3482265236964530479 ~1998
3482313412159034314311 ~2001
3482335916964671839 ~1998
3482450636964901279 ~1998
3482644916965289839 ~1998
3482656916965313839 ~1998
3482941196965882399 ~1998
3482941436965882879 ~1998
3483070796966141599 ~1998
3483120596966241199 ~1998
3483168236966336479 ~1998
348330341208998204710 ~1999
3483534596967069199 ~1998
348362291278689832910 ~1999
3483635396967270799 ~1998
3483709316967418639 ~1998
3483758036967516079 ~1998
348379261209027556710 ~1999
348393653209036191910 ~1999
3484036196968072399 ~1998
348408877557454203310 ~2000
3484095596968191199 ~1998
348424757278739805710 ~1999
3484320116968640239 ~1998
3484542596969085199 ~1998
Exponent Prime Factor Digits Year
3484584596969169199 ~1998
348459233209075539910 ~1999
3484634036969268079 ~1998
3484655996969311999 ~1998
348484141209090484710 ~1999
3484888916969777839 ~1998
3484893596969787199 ~1998
3484924916969849839 ~1998
3485163236970326479 ~1998
348521671348521671110 ~1999
348522127557635403310 ~2000
348528017209116810310 ~1999
3485332316970664639 ~1998
3485415596970831199 ~1998
3485501516971003039 ~1998
348558403348558403110 ~1999
348560873209136523910 ~1999
3485633996971267999 ~1998
3485680796971361599 ~1998
3485798396971596799 ~1998
3485921214183105452111 ~2002
3486027116972054239 ~1998
3486122636972245279 ~1998
3486142196972284399 ~1998
3486190796972381599 ~1998
Exponent Prime Factor Digits Year
3486203996972407999 ~1998
3486223316972446639 ~1998
3486250316972500639 ~1998
3486293996972587999 ~1998
3486406196972812399 ~1998
3486525116973050239 ~1998
3486624596973249199 ~1998
3486675236973350479 ~1998
3486696836973393679 ~1998
348671861209203116710 ~1999
3486745916973491839 ~1998
3486746036973492079 ~1998
3486803036973606079 ~1998
3486963116973926239 ~1998
348702493209221495910 ~1999
348709913836903791310 ~2000
348716021209229612710 ~1999
3487168316974336639 ~1998
3487194716974389439 ~1998
3487219796974439599 ~1998
3487440236974880479 ~1998
3487485311464743830311 ~2001
348757187279005749710 ~1999
3487619516975239039 ~1998
348770239348770239110 ~1999
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