2020-10-15, 22:11 | #1 |
Nov 2016
2^{2}×19×31 Posts |
Some special factorization status of generalized repunits
The generalized repunits (b^p-1)/(b-1) with a given factorization status
A = Semiprime and divisible by 2*p+1 B = Semiprime and the two prime factors are both large ((number of digits of the larger prime) / (number of digits of the smaller prime) < 1.3) C = The largest two prime factors are very close ((the larger prime) / (the smaller prime) < 100) Code:
Base A B C 2 11, 23, 83, 131, 3359 67 (a little > 1.3), 101, 137, 149, 523, 727, 1061, 1277? 277 (a little > 100), 397 (all of the largest three prime factors) 3 11, 23, 131 349, 661 (a little > 1.3) 569 6 11 67, 353 347 10 (none known) 17 (a little > 1.3), 71, 211 193, 223 12 131 311? 23, 193, 239 |
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