A088583 Primes of the form n*x^n + (n-1)*x^(n-1) + . . . + x + 1 for x=4.

5, 37, 229, 6373, 30949, 145637, 13514981, 4891490533, 28831638239461, 923485001094508397344997, 1074600728546337044183267557, 385383811277918317317596838657669349

Offset

1,1

Comments

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

Links

Table of n, a(n) for n=1..12.

Example

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

Prog

(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) }

Crossrefs

Sequence in context: A362337 A339386 A088582 * A202556 A015548 A183385

Adjacent sequences: A088580 A088581 A088582 * A088584 A088585 A088586

Keyword

nonn

Author

Cino Hilliard, Nov 20 2003

Status

approved