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Search: id:A088584
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A088584 Primes of the form n*x^n + (n-1)*x^(n-1) + . . . + x + 1 for x=3. +0
1
103, 312088729, 9955641160957, 163142317702973500798039087, 327058383882861814163660125754017, 67973813526967723994124686175157751059 (list; graph; listen)
OFFSET

1,1

COMMENT

Sum of reciprocals = 0.009708741068395080316898549713.. Are these primes infinite?

EXAMPLE

3*3^3 + 2*3^2 + 3 + 1 = 103.

PROGRAM

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

CROSSREFS

Sequence in context: A034180 A076460 A097726 this_sequence A097014 A106297 A090849

Adjacent sequences: A088581 A088582 A088583 this_sequence A088585 A088586 A088587

KEYWORD

nonn

AUTHOR

Cino Hilliard (hillcino368(AT)gmail.com), Nov 20 2003

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Last modified August 29 17:54 EDT 2008. Contains 143238 sequences.


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