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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
17190851343817038 ~1987
17191211343824238 ~1987
171912891375303139 ~1989
17191319343826398 ~1987
17191631343832638 ~1987
17191991343839838 ~1987
171923411031540479 ~1989
171930171031581039 ~1989
17193191343863838 ~1988
171934671375477379 ~1989
171939612751033779 ~1990
17194379343887598 ~1988
171943911375551299 ~1989
171945379285049999 ~1991
17194571343891438 ~1988
17194799343895998 ~1988
171949511719495119 ~1989
17195063343901278 ~1988
171957671719576719 ~1989
17196059343921198 ~1988
17196071343921438 ~1988
17196551343931038 ~1988
17196659343933198 ~1988
17196779343935598 ~1988
171975531031853199 ~1989
Exponent Prime Factor Digits Year
17197619343952398 ~1988
171977511375820099 ~1989
17198171343963438 ~1988
17199023343980478 ~1988
171991371031948239 ~1989
17199179343983598 ~1988
17199251343985038 ~1988
17199659343993198 ~1988
17199839343996798 ~1988
172003211032019279 ~1989
17200439344008798 ~1988
17200511344010238 ~1988
17200679344013598 ~1988
17200751344015038 ~1988
17200979344019598 ~1988
172012571032075439 ~1989
17201291344025838 ~1988
17201531344030638 ~1988
172016932408237039 ~1990
17201903344038078 ~1988
17202359608963508710 ~1993
17202491344049838 ~1988
172025091376200739 ~1989
17202791344055838 ~1988
17202863344057278 ~1988
Exponent Prime Factor Digits Year
172029895160896719 ~1990
172032131032192799 ~1989
17203271344065438 ~1988
172033871720338719 ~1989
172035972752575539 ~1990
172044171032265039 ~1989
17204639344092798 ~1988
17205239344104798 ~1988
17205731344114638 ~1988
17205803344116078 ~1988
17206919344138398 ~1988
17207639344152798 ~1988
17207699344153998 ~1988
17207951344159038 ~1988
17208011344160238 ~1988
17208599344171998 ~1988
17208839344176798 ~1988
17210339344206798 ~1988
17210603344212078 ~1988
172107411376859299 ~1989
17210951344219038 ~1988
172116295507721299 ~1990
17211731344234638 ~1988
17211839344236798 ~1988
172123371032740239 ~1989
Exponent Prime Factor Digits Year
17212379344247598 ~1988
172124171032745039 ~1989
17212463344249278 ~1988
17212859344257198 ~1988
17212883344257678 ~1988
17212931344258638 ~1988
172129574131109699 ~1990
17213123344262478 ~1988
17213291344265838 ~1988
172138811032832879 ~1989
17214539344290798 ~1988
172151295164538719 ~1990
17215151344303038 ~1988
172151531032909199 ~1989
17215259344305198 ~1988
17215391344307838 ~1988
17215631344312638 ~1988
172157411032944479 ~1989
17216159344323198 ~1988
172164531032987199 ~1989
17216663344333278 ~1988
17217131344342638 ~1988
17217143344342878 ~1988
172173011033038079 ~1989
17218031344360638 ~1988
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