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A108573 Least positive k such that k * [RSA-640]^n - 1 is prime, where RSA-640 is the 193 decimal digit RSA challenge number. 4

%I #14 Dec 15 2017 17:36:49

%S 390,1334,136,2058,2710,2082,748,2388,3588,1902,988,9170,5076,28778,

%T 2112,1800,3082,1238,12916

%N Least positive k such that k * [RSA-640]^n - 1 is prime, where RSA-640 is the 193 decimal digit RSA challenge number.

%C Other terms are a(25)=1558 and a(43)=5718. All values in the sequence are Fermat and Lucas PRPs except for the first two which were proved with ECM. The larger values won't be easily provable until RSA-640 is factored, which has a prize of $20,000 for its factorization. This sequence is based on a suggestion of _Jens Kruse Andersen_.

%C RSA-640 was factored in 2005; see the Wikipedia link. - _D. S. McNeil_, Nov 26 2010

%H Wikipedia, <a href="http://en.wikipedia.org/wiki/RSA-640">RSA-640</a>

%Y Cf. A108375.

%K more,nonn

%O 1,1

%A _Jason Earls_, Jul 05 2005

%E Edited and a(19) added by _D. S. McNeil_, Nov 25 2010

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Last modified April 19 18:58 EDT 2024. Contains 371798 sequences. (Running on oeis4.)