A088583 - OEIS

%I #4 Oct 01 2013 17:57:45

%S 5,37,229,6373,30949,145637,13514981,4891490533,28831638239461,

%T 923485001094508397344997,1074600728546337044183267557,

%U 385383811277918317317596838657669349

%N Primes of the form n*x^n + (n-1)*x^(n-1) + . . . + x + 1 for x=4.

%C Sum of reciprocals = 0.2315900030315841482180710713.. Are these primes infinite?

%e 2*4^2 + 4 + 1 = 37.

%o (PARI) trajpolyn(n1,k) = { s=0; for(x1=0,n1, y1 = polypn2(k,x1); print1(y1","); s+=1.0/y1; ); print(); print(s) } polypn2(n,p) = { x=n; y=1; for(m=1,p, y=y+m*x^m; ); return(y) }

%K nonn

%O 1,1

%A _Cino Hilliard_, Nov 20 2003