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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
204371213122622727910 ~1997
2043717594087435199 ~1996
2043723834087447679 ~1996
204372737163498189710 ~1997
204387661327020257710 ~1998
204388507204388507110 ~1998
2043955914087911839 ~1996
2043977034087954079 ~1996
204400817122640490310 ~1997
2044029834088059679 ~1996
204403813327046100910 ~1998
2044065234088130479 ~1996
204411797163529437710 ~1997
2044119834088239679 ~1996
2044153914088307839 ~1996
204422017122653210310 ~1997
204438011163550408910 ~1997
2044387394252325771311 ~2001
2044393794088787599 ~1996
2044416234088832479 ~1996
204457261327131617710 ~1998
2044602114089204239 ~1996
204461161613383483110 ~1999
2044659234089318479 ~1996
204467119204467119110 ~1998
Exponent Prime Factor Digits Year
204468893122681335910 ~1997
2044709394089418799 ~1996
2044751091472220784911 ~2000
2044773234089546479 ~1996
204479677122687806310 ~1997
2044840194089680399 ~1996
2044957194089914399 ~1996
2044958994089917999 ~1996
204511709163609367310 ~1997
2045124594090249199 ~1996
2045211234090422479 ~1996
2045251871186246084711 ~1999
204526549490863717710 ~1999
2045265714090531439 ~1996
2045273634090547279 ~1996
204527489163621991310 ~1997
204530681777216587910 ~1999
2045313114090626239 ~1996
2045402394090804799 ~1996
204542141122725284710 ~1997
2045440314090880639 ~1996
2045468514090937039 ~1996
204547367163637893710 ~1997
204551377122730826310 ~1997
2045524373436480941711 ~2001
Exponent Prime Factor Digits Year
2045558034091116079 ~1996
2045575194091150399 ~1996
2045605794091211599 ~1996
2045618034091236079 ~1996
204572443204572443110 ~1998
2045738994091477999 ~1996
2045864634091729279 ~1996
2045956794091913599 ~1996
2046021714092043439 ~1996
204616127163692901710 ~1997
2046177114092354239 ~1996
204618853327390164910 ~1998
204621797286470515910 ~1998
2046393714092787439 ~1996
2046399834092799679 ~1996
204644257327430811310 ~1998
2046466794092933599 ~1996
2046474834092949679 ~1996
2046557394093114799 ~1996
2046559314093118639 ~1996
2046630714093261439 ~1996
2046682794093365599 ~1996
204671281122802768710 ~1997
204673943532152251910 ~1999
2046766914093533839 ~1996
Exponent Prime Factor Digits Year
2046775794093551599 ~1996
2046779394093558799 ~1996
2046782634093565279 ~1996
2046810834093621679 ~1996
2046843234093686479 ~1996
204698633122819179910 ~1997
2047016034094032079 ~1996
2047053234094106479 ~1996
204714977122828986310 ~1997
204736817122842090310 ~1997
2047383234094766479 ~1996
2047389234094778479 ~1996
204746917122848150310 ~1997
204772441122863464710 ~1997
2047744914095489839 ~1996
2047772634095545279 ~1996
2047780434095560879 ~1996
2047793034095586079 ~1996
2047811634095623279 ~1996
2047838994095677999 ~1996
2047897194095794399 ~1996
2047904514095809039 ~1996
2047936914095873839 ~1996
2047973634095947279 ~1996
204798197163838557710 ~1997
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25-06-08