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A215698 Number of primes of the form 1 + b^256 for 1 < b < 10^n. 8
0, 0, 4, 30, 272, 2322 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,3
COMMENTS
Primes 1 + b^256 are a form of generalized Fermat primes.
It is conjectured that a(n) is asymptotic to 0.0290422*li(10^n)
LINKS
EXAMPLE
a(3) = 4 because the generalized Fermat numbers F_8(b) where b<10^3 are prime only for b: 278, 614, 892, 898.
PROG
(PARI) a(n) = sum(b=1, 10^n/2-1, isprime((2*b)^256+1))
CROSSREFS
Sequence in context: A052658 A340895 A220442 * A367872 A179540 A370346
KEYWORD
nonn
AUTHOR
Henryk Dabrowski, Aug 21 2012
STATUS
approved

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Last modified March 19 04:58 EDT 2024. Contains 370952 sequences. (Running on oeis4.)