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A215049
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Number of primes of the form 1 + b^8 for 1 < b < 10^n.
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13
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OFFSET
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1,1
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COMMENTS
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Primes 1 + b^8 are a form of generalized Fermat primes. It is conjectured that a(n) is asymptotic to 0.261599*li(10^n).
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LINKS
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FORMULA
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EXAMPLE
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a(1) = 2 because the only Fermat primes F_3(b) where b<10^1 are the primes: 257, 65537.
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MATHEMATICA
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Table[Length[Select[Range[2, 10^n-1]^8 + 1, PrimeQ]], {n, 5}] (* T. D. Noe, Aug 01 2012 *)
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PROG
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(PARI) a(n) = sum(b=1, 10^n/2-1, isprime((2*b)^8+1))
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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