Factor counts for Mersenne numbers with cofactors that are composite or of unknown primality as of Thu Jul 7 06:24:33 PDT 2011 Will Edgington http://www.garlic.com/~wedgingt/mersenne.html $Id: cnt1stfactors,v 1.48 2010/03/19 17:18:14 wedgingt Exp $ Mersenne numbers with at least 1 known primitive factors within each exponent range Start Length 1 Count Percent 1 Count Precent of of Factors of All of All Factors of Prime of Prime Range Range All Expon.s Exp.s w/ Prime Expon.s Exp.s w/ Expon.s w/ Data 1 Factors w/ Data w/ Data 1 Factors 600 600 26 28 92.857143 17 18 94.444444 1200 1200 516 555 92.972973 128 136 94.117647 2400 2400 1698 1922 88.345473 242 268 90.298507 4800 5200 4228 5016 84.290271 528 564 93.617021 10000 10000 7452 9868 75.516822 918 1021 89.911851 20000 30000 20183 29883 67.540073 2492 2860 87.132867 50000 50000 29837 49927 59.761251 3759 4451 84.452932 100000 100000 67239 76744 87.614667 6823 8386 81.361793 200000 300000 188959 194380 97.211133 18128 23549 76.979914 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