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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
741826391148365278310 ~2000
741840191148368038310 ~2000
7418406531038576914311 ~2002
741867383148373476710 ~2000
741877091148375418310 ~2000
741885383148377076710 ~2000
741890711148378142310 ~2000
741920843148384168710 ~2000
741921263148384252710 ~2000
741933761445160256710 ~2001
741939983148387996710 ~2000
741942983148388596710 ~2000
741951521445170912710 ~2001
741956399148391279910 ~2000
741964547593571637710 ~2002
741970343148394068710 ~2000
741983999148396799910 ~2000
741995123148399024710 ~2000
742009343148401868710 ~2000
742011097445206658310 ~2001
742038419593630735310 ~2002
742045319148409063910 ~2000
742048199148409639910 ~2000
742050623148410124710 ~2000
742076591148415318310 ~2000
Exponent Prime Factor Digits Year
742107923148421584710 ~2000
7421347491781123397711 ~2003
742137443148427488710 ~2000
7421487771781157064911 ~2003
742192153445315291910 ~2001
742246031148449206310 ~2000
742285007593828005710 ~2002
742312793445387675910 ~2001
742313843148462768710 ~2000
742314803148462960710 ~2000
742338419148467683910 ~2000
742357943148471588710 ~2000
742384871593907896910 ~2002
742398179148479635910 ~2000
742426537445455922310 ~2001
742434299148486859910 ~2000
742436677445462006310 ~2001
742443731148488746310 ~2000
742444739148488947910 ~2000
742482623148496524710 ~2000
742484003148496800710 ~2000
742491143148498228710 ~2000
742513091148502618310 ~2000
742526341445515804710 ~2001
742530983148506196710 ~2000
Exponent Prime Factor Digits Year
742533611148506722310 ~2000
742545059148509011910 ~2000
742560179148512035910 ~2000
742579891742579891110 ~2002
742582877594066301710 ~2002
7425967491039635448711 ~2002
742598663148519732710 ~2000
742599479148519895910 ~2000
742640711148528142310 ~2000
742657037445594222310 ~2001
7426627871188260459311 ~2003
742676591148535318310 ~2000
742678679148535735910 ~2000
7426832991336829938311 ~2003
7427041631188326660911 ~2003
742706417445623850310 ~2001
742707263148541452710 ~2000
742712879148542575910 ~2000
742723139148544627910 ~2000
742727483148545496710 ~2000
742728187742728187110 ~2002
7427292132970916852111 ~2003
742729859148545971910 ~2000
742744571148548914310 ~2000
742774139148554827910 ~2000
Exponent Prime Factor Digits Year
742784951148556990310 ~2000
742788383148557676710 ~2000
742788911148557782310 ~2000
742826471148565294310 ~2000
742832903148566580710 ~2000
742836023148567204710 ~2000
742864379148572875910 ~2000
742891861445735116710 ~2001
742896383148579276710 ~2000
742932193445759315910 ~2001
742940351148588070310 ~2000
742949411148589882310 ~2000
742961519148592303910 ~2000
742987391148597478310 ~2000
742992863148598572710 ~2000
742994099148598819910 ~2000
742999139148599827910 ~2000
743010419148602083910 ~2000
743026079148605215910 ~2000
743056991148611398310 ~2000
743071127594456901710 ~2002
743075093445845055910 ~2001
743100131148620026310 ~2000
743103143148620628710 ~2000
743112131148622426310 ~2000
3866
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26-07-05