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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.
Exp. Prime Factor Digits Year
7073483141469678 ~1984
7073533424411998 ~1986
7073657424419438 ~1986
70738132122143919 ~1987
7073879141477598 ~1984
7073917424435038 ~1986
7073981424438878 ~1986
7074077990370798 ~1987
7074097424445838 ~1986
7074101424446078 ~1986
7074187707418718 ~1986
7074217424453038 ~1986
7074971141499438 ~1984
7075199566015938 ~1986
70752791273550239 ~1987
7075301424518078 ~1986
7075459707545918 ~1986
7075603707560318 ~1986
7075643141512878 ~1984
70758192405778479 ~1987
7075853226427296110 ~1990
7075979141519598 ~1984
7076093424565598 ~1986
70761972830478819 ~1988
7076453990703438 ~1987
Exp. Prime Factor Digits Year
7076717424603038 ~1986
7076761424605678 ~1986
7076807566144578 ~1986
7076903141538078 ~1984
70769412123082319 ~1987
7076999141539998 ~1984
7077263141545278 ~1984
7077419141548398 ~1984
7077743141554878 ~1984
7077803141556078 ~1984
7077821424669278 ~1986
7077857424671438 ~1986
7077911566232898 ~1986
7078033424681998 ~1986
70781471698755299 ~1987
7078271141565438 ~1984
7078283141565678 ~1984
70792431699018339 ~1987
7079279566342338 ~1986
7079459141589198 ~1984
7079591566367298 ~1986
7079771141595438 ~1984
7080119141602398 ~1984
7081049991346878 ~1987
7081187566494978 ~1986
Exp. Prime Factor Digits Year
7081199141623998 ~1984
7081337424880238 ~1986
70813373399041779
7081439141628798 ~1984
7081751141635038 ~1984
70818477365120899 ~1989
7082063141641278 ~1984
70821971699727299 ~1987
7082561424953678 ~1986
70826291558178399 ~1987
7082921424975278 ~1986
7082941424976478 ~1986
7082951141659038 ~1984
7083157424989438 ~1986
7083341425000478 ~1986
7083383141667678 ~1984
7083431141668638 ~1984
7083911141678238 ~1984
7083971141679438 ~1984
7084043141680878 ~1984
7084403141688078 ~1984
7084541425072478 ~1986
7084547566763778 ~1986
7084559141691198 ~1984
7085237425114238 ~1986
Exp. Prime Factor Digits Year
7085399141707998 ~1984
7085531141710638 ~1984
7085581425134878 ~1986
7085843141716878 ~1984
7086239141724798 ~1984
7086341566907298 ~1986
7086479141729598 ~1984
7086587566926978 ~1986
7086593425195598 ~1986
7087043141740878 ~1984
7087097992193598 ~1987
7087109566968738 ~1986
7087229566978338 ~1986
7087439141748798 ~1984
7087583141751678 ~1984
7087799141755998 ~1984
70879991275839839 ~1987
7088047708804718 ~1986
7088183141763678 ~1984
7088353425301198 ~1986
7088561567084898 ~1986
7088891141777838 ~1984
7089463708946318 ~1986
7089619708961918 ~1986
70897811134364979 ~1987
835
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25-05-04