%I #9 Jul 14 2023 16:33:00

%S 7,7,11,7,11,7,7,11,7,11,7,7,11,11,7,7,11,11,7,11,7,7,11,7,11,7,7,11,

%T 7,11,7,7,7,7,11,7,7,11,11,7,7,11,11,7,11,7,11,7,11,11,7,7,7,7,11,7,7,

%U 11,11,7,7,11,11,11,11,7,7,11,11,7,11,11,7,11,7

%N a(n) is the least k such that k * A007519(n) + 1 = 0 (mod 12).

%C Original name: Values of n such that 4j = np+1 where p = 8x+1, x integer, p prime and j mod 3 = 0.

%H H. Mishima, <a href="http://www.asahi-net.or.jp/~KC2H-MSM/mathland/overview.htm">Overview of "Mathematician's Secret Room"</a>

%e For example, A007519(1)=17, 4j=17p+1 implies k is 7 and j is 30. The values that give 7 form the basis for solutions for the Erdős-Straus conjecture: 4/n=1/a+1/b+1/c for n >= 2, a,b,c>0 and integers.

%K nonn

%O 1,1

%A _Jon Perry_, Oct 05 2001

%E Entry revised by _Sean A. Irvine_, Jul 14 2023