Share N+/-1 Primality Proofs - Page 41

sweety439 · 2022-05-16, 21:54

The generalized repunit probable prime, R2731(685), N-1 has 31.345% factored, all algebraic factors are already entered.

Factoring this 167 digit number (a factor of Phi(390,685), i.e. a factor of 685,195+) will enable N-1 proof for R2731(685), since this will make N-1 have >33.333% factored.

MDaniello · 2022-06-17, 16:46

Code:

2684720974...01   N+/-1  350 digits
5548042917...01   N+/-1   497 digits
(86^294+2)/6          N-1   598 digits
(19607^353+1)/19608   N-1   1511 digits
4687274111...01      N-1   1381 digits
(13088^373-1)/13087   N-1   1532 digits
(17200^457+1)/17201   N-1   1932 digits
(5183^521+1)/5184      N-1   1932 digits
(17195^457-1)/17194   N-1   1932 digits

In addition to these, several Carol-Kynea primes that lacked any kind of primality proof.
Some other primes of this kind were missing from the db at all.

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2022-05-16, 21:54	#441
sweety439 "99(4^34019)99 palind" Nov 2016 (P^81993)SZ base 36 3×1,151 Posts	The generalized repunit probable prime, R2731(685), N-1 has 31.345% factored, all algebraic factors are already entered. Factoring this 167 digit number (a factor of Phi(390,685), i.e. a factor of 685,195+) will enable N-1 proof for R2731(685), since this will make N-1 have >33.333% factored.