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A248371
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Number of primes in Breusch's interval [n; 9(n+3)/8].
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2
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2, 2, 3, 2, 2, 2, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 2, 1, 2, 2, 2, 2, 2, 2, 2, 1, 1, 2, 2, 3, 3, 2, 3, 3, 3, 2, 2, 1, 2, 2, 2, 1, 1, 2, 2, 3, 3, 2, 2, 2, 3, 3, 3, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 3, 3, 2, 2, 2, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2
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OFFSET
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0,1
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COMMENTS
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LINKS
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EXAMPLE
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a(0)=a(1)=2 because in [0; 9(0+3)/8] = [0; 27/8] and in [1; 9(1+3)/8] = [1; 9/2] there are the two primes 2 and 3.
a(2)=3 because in [2; 9(2+3)/8] = [2; 45/8] there are the three primes 2, 3 and 5.
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MAPLE
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MATHEMATICA
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Table[PrimePi[(n + 3)*9/8] - PrimePi[n - 1], {n, 0, 100}] (* Wesley Ivan Hurt, Oct 05 2014 *)
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PROG
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(PARI) a(n)=primepi((n+3)*9\8)-primepi(n-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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