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A192454
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Number of primes in the range [2^n-n, 2^n+n].
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3
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0, 2, 3, 3, 3, 3, 3, 2, 3, 3, 4, 2, 3, 2, 1, 3, 5, 3, 6, 2, 5, 4, 3, 5, 2, 0, 2, 0, 2, 2, 5, 3, 3, 4, 1, 1, 4, 4, 2, 4, 2, 3, 4, 2, 4, 0, 2, 3, 1, 0, 2, 1, 3, 2, 2, 4, 3, 5, 2, 1, 1, 6, 1, 2, 4, 1, 3, 7, 4, 2, 3, 2, 1, 2, 5, 3, 4, 6, 3, 3, 2, 4, 5, 2, 5, 2, 7, 3, 1, 7, 4, 3, 2, 3, 2, 4, 5, 0, 5, 0, 2
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OFFSET
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0,2
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LINKS
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EXAMPLE
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a(1) = 2 because two primes in the range [1^2-1, 1^2+1], a(2) = 3 because 2, 3 and 5 are in range [2^2-2, 2^2+2].
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MAPLE
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with(numtheory); f:=n->pi(2^n+n)-pi(2^n-n-1); [seq(f(n), n=0..20)];
# second Maple program:
a:= n-> add(`if`(isprime(t), 1, 0), t=2^n-n..2^n+n):
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MATHEMATICA
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Table[PrimePi[2^n + n] - PrimePi[2^n - n - 1], {n, 0, 40}]
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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Corrected name and added terms up to a(40). - T. D. Noe, Jul 12 2011
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STATUS
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approved
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