|
%I #28 Jul 04 2021 22:08:10
%S 1,2,3,9,17,20,21,27,42,65,120,132,177,240,453,552,1599,2174,2977,
%T 3648,7707,8315,10391,12457,21056,26222,48296,64040,84903,92975,95071
%N Numbers k such that 60*R_k + 1 is prime, where R_k = 11...1 is the repunit (A002275) of length k.
%C Also numbers k such that (2*10^(k+1)-17)/3 is prime.
%H Makoto Kamada, <a href="https://stdkmd.net/nrr/6/66661.htm#prime">Prime numbers of the form 66...661</a>.
%H <a href="/index/Pri#Pri_rep">Index entries for primes involving repunits</a>
%F a(n) = A098088(n) - 1. - _Robert Price_, Aug 19 2014
%t Do[ If[ PrimeQ[ 60*(10^n - 1)/9 + 1], Print[n]], {n, 7000}]
%Y Cf. A002275, A092571 (corresponding primes), A098088.
%K hard,nonn
%O 1,2
%A _Robert G. Wilson v_, Aug 09 2000
%E 1599 and 2174 (corresponding to probable primes) from _Rick L. Shepherd_, Feb 28 2004
%E More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Jan 01 2008
%E a(23)-a(31) derived from A098088 by _Robert Price_, Aug 19 2014
|
