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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
6231666591994133308911 ~2003
623167271124633454310 ~2000
6232189871121794176711 ~2002
623219783124643956710 ~2000
623226899124645379910 ~2000
623236199124647239910 ~2000
623246081498596864910 ~2001
623254811124650962310 ~2000
623312849498650279310 ~2001
623348981374009388710 ~2001
623368439124673687910 ~2000
623374757374024854310 ~2001
623390039124678007910 ~2000
623400143124680028710 ~2000
6234049313117024655111 ~2003
623405231498724184910 ~2001
623409179124681835910 ~2000
623409863124681972710 ~2000
623428753374057251910 ~2001
623452103124690420710 ~2000
623463521498770816910 ~2001
6234693591995101948911 ~2003
623471363124694272710 ~2000
623475431124695086310 ~2000
6234876191122277714311 ~2002
Exponent Prime Factor Digits Year
623487857872882999910 ~2002
623494871124698974310 ~2000
623496329498797063310 ~2001
623496821498797456910 ~2001
6234995291371698963911 ~2002
623519483124703896710 ~2000
623538731124707746310 ~2000
623544539124708907910 ~2000
623584919124716983910 ~2000
623591351498873080910 ~2001
623596199124719239910 ~2000
623605757374163454310 ~2001
623613911124722782310 ~2000
623616923124723384710 ~2000
623628671498902936910 ~2001
623657483124731496710 ~2000
623659459623659459110 ~2001
623691841374215104710 ~2001
623694671124738934310 ~2000
623700359124740071910 ~2000
623712863124742572710 ~2000
6237171671122690900711 ~2002
6237185511122693391911 ~2002
6237229193118614595111 ~2003
623729003124745800710 ~2000
Exponent Prime Factor Digits Year
623734799124746959910 ~2000
623750399124750079910 ~2000
623757443124751488710 ~2000
623790071124758014310 ~2000
623794177374276506310 ~2001
623799119124759823910 ~2000
623821201374292720710 ~2001
623830583124766116710 ~2000
623839763124767952710 ~2000
623841371124768274310 ~2000
623842343124768468710 ~2000
623879099124775819910 ~2000
623893271124778654310 ~2000
623895179124779035910 ~2000
623933333374359999910 ~2001
623935373374361223910 ~2001
623941987623941987110 ~2001
623948167623948167110 ~2001
623955911124791182310 ~2000
623964083124792816710 ~2000
6240233391123242010311 ~2002
624038879124807775910 ~2000
624042491124808498310 ~2000
624054719124810943910 ~2000
624096611124819322310 ~2000
Exponent Prime Factor Digits Year
624106673873749342310 ~2002
624132023124826404710 ~2000
624141263124828252710 ~2000
624146233998633972910 ~2002
624156119124831223910 ~2000
624157361374494416710 ~2001
624161123124832224710 ~2000
624185483124837096710 ~2000
624196799124839359910 ~2000
624212753374527651910 ~2001
624230279124846055910 ~2000
624230963124846192710 ~2000
624265751124853150310 ~2000
624271643124854328710 ~2000
624277883124855576710 ~2000
624285839124857167910 ~2000
624293399124858679910 ~2000
624304511124860902310 ~2000
624313439124862687910 ~2000
624332519124866503910 ~2000
624341759124868351910 ~2000
624342317499473853710 ~2001
624344471124868894310 ~2000
624347861374608716710 ~2001
624349031124869806310 ~2000
3362
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25-07-08