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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
1738171173817118 ~1981
173821134764237 ~1980
1738307312895278 ~1982
173839134767837 ~1980
1738417278146738 ~1982
1738657521597118 ~1983
17386571530018179
1738661139092898 ~1981
1738691139095298 ~1981
173870334774077 ~1980
1738739730270398 ~1983
1738831173883118 ~1981
1738873104332398 ~1981
1738903730339278 ~1983
1738969521690718 ~1983
1739041104342478 ~1981
173906334781277 ~1980
1739173104350398 ~1981
1739233278277298 ~1982
17393471008821279 ~1983
1739359313084638 ~1982
1739443173944318 ~1981
1739533104371998 ~1981
173960334792077 ~1980
17396093166088399 ~1985
Exp. Prime Factor Digits Year
1739653417516738 ~1982
1739869382771198 ~1982
173989134797837 ~1980
1739891730754238
1739911173991118 ~1981
1739957139196578 ~1981
17400411774841839 ~1984
1740187696074818 ~1983
1740241104414478 ~1981
1740257139220578 ~1981
1740259174025918 ~1981
1740293243641038 ~1982
1740367174036718 ~1981
1740379417690978 ~1982
1740379591728878
174050334810077 ~1980
17406911845132479 ~1984
1740701522210318 ~1983
174073134814637 ~1980
174077934815597 ~1980
1740811696324418 ~1983
1740881104452878 ~1981
174091134818237 ~1980
1741013417843138 ~1982
174107934821597 ~1980
Exp. Prime Factor Digits Year
1741079139286338
1741099313397838 ~1982
1741241104474478 ~1981
1741339174133918 ~1981
1741387174138718 ~1981
17413873099668879
1741517139321378 ~1981
1741687174168718 ~1981
174197934839597 ~1980
1742249522674718 ~1983
1742369243931678 ~1982
1742393104543598 ~1981
1742401104544078 ~1981
1742501104550078 ~1981
174257934851597 ~1980
17426812753435999 ~1984
1742791313702398 ~1982
174284334856877 ~1980
1742941104576478 ~1981
1743013418323138 ~1982
1743047139443778 ~1981
1743113244035838 ~1982
1743149139451938 ~1981
17431791394543219 ~1984
1743221139457698 ~1981
Exp. Prime Factor Digits Year
1743317479412175110 ~1987
174341934868397 ~1980
1743473557911378 ~1983
1743737104624238 ~1981
174380334876077 ~1980
1743803418512738
1743829383642398 ~1982
1743869139509538 ~1981
17439191011473039 ~1983
1744097104645838 ~1981
1744111279057778 ~1982
1744357104661438 ~1981
1744363174436318 ~1981
1744493244229038 ~1982
1744517302499247910 ~1987
1744621279139378 ~1982
174464334892877 ~1980
1744777104686638 ~1981
1744817139585378 ~1981
1745087139606978 ~1981
1745111558435538 ~1983
1745197104711838 ~1981
1745197802790638
174523134904637 ~1980
1745257104715438 ~1981
360
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26-03-08