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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
855840179171168035910 ~2001
8558487018729656750311 ~2005
855892853513535711910 ~2002
855907693513544615910 ~2002
855914219171182843910 ~2001
8559306291198302880711 ~2003
855932183171186436710 ~2001
855934991171186998310 ~2001
855939803171187960710 ~2001
855943037513565822310 ~2002
855957491171191498310 ~2001
855965311855965311110 ~2003
855974351684779480910 ~2002
855976853513586111910 ~2002
855992183171198436710 ~2001
856001963171200392710 ~2001
856042721684834176910 ~2002
856084511171216902310 ~2001
8561274711541029447911 ~2003
856156333513693799910 ~2002
856161421513696852710 ~2002
856164059171232811910 ~2001
856181723171236344710 ~2001
856182251171236450310 ~2001
856184111171236822310 ~2001
Exponent Prime Factor Digits Year
856201163171240232710 ~2001
856210991171242198310 ~2001
8562266331198717286311 ~2003
856249379171249875910 ~2001
856266683171253336710 ~2001
856300811171260162310 ~2001
856301137513780682310 ~2002
856329043856329043110 ~2003
856335299685068239310 ~2002
856340341513804204710 ~2002
8563532332569059699111 ~2004
856365071171273014310 ~2001
856409111171281822310 ~2001
856442143856442143110 ~2003
856454363171290872710 ~2001
856454603171290920710 ~2001
856459223171291844710 ~2001
856490867685192693710 ~2002
856497623171299524710 ~2001
856500479171300095910 ~2001
856513799171302759910 ~2001
856553303171310660710 ~2001
856556663171311332710 ~2001
856557179685245743310 ~2002
856567259171313451910 ~2001
Exponent Prime Factor Digits Year
856585259171317051910 ~2001
856600631171320126310 ~2001
856603877685283101710 ~2002
856610819171322163910 ~2001
856613099171322619910 ~2001
856618271171323654310 ~2001
856627199171325439910 ~2001
856642691171328538310 ~2001
856644631856644631110 ~2003
856709699171341939910 ~2001
856721297514032778310 ~2002
856724051171344810310 ~2001
856737263171347452710 ~2001
85674609725188335251912 ~2006
856755611171351122310 ~2001
856771379685417103310 ~2002
856863191171372638310 ~2001
856896167685516933710 ~2002
8569213331371074132911 ~2003
856940939171388187910 ~2001
856963883171392776710 ~2001
8569813791542566482311 ~2003
8569821292056757109711 ~2003
857033483171406696710 ~2001
857062571171412514310 ~2001
Exponent Prime Factor Digits Year
857066333514239799910 ~2002
857144303171428860710 ~2001
857145743171429148710 ~2001
857146757514288054310 ~2002
857174471171434894310 ~2001
857219711171443942310 ~2001
857260331171452066310 ~2001
857278739171455747910 ~2001
857283683171456736710 ~2001
857294843171458968710 ~2001
857297479857297479110 ~2003
857302757685842205710 ~2002
857314943171462988710 ~2001
857317301685853840910 ~2002
857320393514392235910 ~2002
857338019171467603910 ~2001
8573381471371741035311 ~2003
857349611171469922310 ~2001
857355539171471107910 ~2001
8574187331886321212711 ~2003
857441423171488284710 ~2001
857455211171491042310 ~2001
857458093514474855910 ~2002
8574707111371953137711 ~2003
857495543171499108710 ~2001
3970
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26-08-02