%I #11 Sep 01 2017 05:03:18

%S 0,0,1,0,1,0,1,3,2,9,2,0,7,3,4,0,2,0,1,4,1,4,2,3,4,2,12,22,8,0,3,3,4,

%T 3,1,2,2,3,3,4,3,13,2,16,3,8,3,14,17,9,37,4,7,4,7,11,4,3,14,0,14,8,1,

%U 6,8,73,26,10,1,32,6,10,2,6,2,33,2,4,52,12,16

%N a(n) = number of steps to reach a prime when x -> sigma(x)-1 is repeatedly applied to 2^n-1, or -1 if no prime is ever reached.

%H Lars Blomberg, <a href="/A291777/b291777.txt">Table of n, a(n) for n = 2..270</a>

%e For n=9, 2^n-1 = 511 with iterates 511->591->791->911, and 911 is the first prime, so a(7)=3.

%o (PARI) C(x) = {for(c=0,10^5,if(isprime(x),return(c),x=sigma(x)-1));-1}

%o vector(200,n,C(2^(n+1)-1)) \\ _Lars Blomberg_, Sep 01 2017

%Y Cf. A039654, A039655, A291301, A291302, A291776.

%K nonn

%O 2,8

%A _N. J. A. Sloane_, Aug 31 2017

%E a(13)-a(82) from _Lars Blomberg_, Sep 01 2017