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Search: id:A088583
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| A088583 |
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Primes of the form n*x^n + (n-1)*x^(n-1) + . . . + x + 1 for x=4. |
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+0
1
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| 5, 37, 229, 6373, 30949, 145637, 13514981, 4891490533, 28831638239461, 923485001094508397344997, 1074600728546337044183267557, 385383811277918317317596838657669349
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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Sum of reciprocals = 0.2315900030315841482180710713.. Are these primes infinite?
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EXAMPLE
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2*4^2 + 4 + 1 = 37.
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PROGRAM
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(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) }
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CROSSREFS
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Adjacent sequences: A088580 A088581 A088582 this_sequence A088584 A088585 A088586
Sequence in context: A006468 A095924 A088582 this_sequence A015548 A054417 A080507
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KEYWORD
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nonn
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AUTHOR
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Cino Hilliard (hillcino368(AT)gmail.com), Nov 20 2003
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