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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
3051467396102934799 ~1997
305147189732353253710 ~2000
3051530036103060079 ~1997
305175901915527703110 ~2000
305179261183107556710 ~1998
305183357183110014310 ~1998
305191199244152959310 ~1999
3052060436104120879 ~1997
3052081196104162399 ~1997
3052117436104234879 ~1997
3052287836104575679 ~1997
3052348611159892471911 ~2000
3052378796104757599 ~1997
305246017183147610310 ~1998
3052545716105091439 ~1997
3052602716105205439 ~1997
305268251244214600910 ~1999
3052815236105630479 ~1997
305302037183181222310 ~1998
3053058596106117199 ~1997
3053110091465492843311 ~2001
3053140436106280879 ~1997
3053147036106294079 ~1997
3053169836106339679 ~1997
3053177636106355279 ~1997
Exponent Prime Factor Digits Year
3053250716106501439 ~1997
305325071244260056910
3053327636106655279 ~1997
3053337836106675679 ~1997
3053348036106696079 ~1997
3053604116107208239 ~1997
3053606036107212079 ~1997
3053623916107247839 ~1997
3053737916107475839 ~1997
305375219244300175310 ~1999
3053859116107718239 ~1997
305390681244312544910 ~1999
305394757183236854310 ~1998
3054013316108026639 ~1997
3054099836108199679 ~1997
305411791488658865710 ~1999
3054134636108269279 ~1997
3054188036108376079 ~1997
3054244196108488399 ~1997
305427977427599167910 ~1999
3054295494581443235111 ~2002
3054313196108626399 ~1997
3054357716108715439 ~1997
3054417791038502048711 ~2000
3054462836108925679 ~1997
Exponent Prime Factor Digits Year
3054504236109008479 ~1997
3054520196109040399 ~1997
3054587396109174799 ~1997
305464897183278938310 ~1998
305469089244375271310 ~1999
3054807236109614479 ~1997
3054854516109709039 ~1997
305492401183295440710 ~1998
305493997183296398310 ~1998
3054995396109990799 ~1997
3055043516110087039 ~1997
30551111316558702324712 ~2003
3055178516110357039 ~1997
305524517244419613710 ~1999
3055295996110591999 ~1997
305531777244425421710 ~1999
3055385036110770079 ~1997
305539681183323808710 ~1998
305546861183328116710 ~1998
305557229244445783310 ~1999
3055642436111284879 ~1997
305589833183353899910 ~1998
3055944836111889679 ~1997
305598037183358822310 ~1998
3056020796112041599 ~1997
Exponent Prime Factor Digits Year
305604239244483391310 ~1999
305605493183363295910 ~1998
305611289916833867110 ~2000
3056155916112311839 ~1997
305621863305621863110 ~1999
3056272916112545839 ~1997
305650637244520509710 ~1999
305652071244521656910 ~1999
305652847305652847110 ~1999
3056543996113087999 ~1997
305665847733598032910 ~2000
305691181183414708710 ~1998
305691677244553341710 ~1999
3056918396113836799 ~1997
305710501183426300710 ~1998
3057192596114385199 ~1997
3057248516114497039 ~1997
3057407832935111516911 ~2001
3057456836114913679 ~1997
3057553796115107599 ~1997
3057556436115112879 ~1997
3057629396115258799 ~1997
3057665516115331039 ~1997
305766737244613389710 ~1999
3057678596115357199 ~1997
3009
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25-06-08