id:A096839 - OEIS Search Results

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Number of primes in the neighborhood of n^2 with radius Ceiling[Log[n^2]].

+0
2

0, 3, 2, 3, 2, 1, 2, 3, 2, 3, 0, 2, 3, 4, 3, 2, 2, 0, 2, 2, 2, 3, 1, 3, 2, 3, 2, 1, 1, 1, 1, 3, 3, 3, 4, 5, 3, 3, 1, 3, 0, 1, 1, 2, 3, 2, 3, 3, 2, 1, 2, 3, 2, 2, 2, 1, 3, 4, 0, 2, 2, 3, 1, 3, 4, 3, 3, 1, 1, 2, 1, 2, 2, 4, 1, 2, 2, 3, 1, 1, 3, 2, 1, 1, 2, 1, 3, 2, 2, 2, 3, 2, 2, 3, 1, 2, 3, 2, 3, 2, 2, 1, 3, 0, 1 (list; graph; listen)

	OFFSET	`1,2`
	EXAMPLE	`n=10: a[10]=3 and the 3 primes in interval [95, 105] around 10^2=100 are {97,101,103};`
	MATHEMATICA	`f[n_] := (PrimePi[n^2 + Ceiling[Log[n^2]]] - PrimePi[n^2 - Ceiling[Log[n^2]] - 1]); Table[ f[n], {n, 105}] (from Robert G. Wilson v Jul 14 2004)`
	CROSSREFS	`Cf. A096509-A096523, A096830-A096840.` `Sequence in context: A131498 A033093 A070032 this_sequence A099891 A096835 A064654` `Adjacent sequences: A096836 A096837 A096838 this_sequence A096840 A096841 A096842`
	KEYWORD	`nonn`
	AUTHOR	`Labos E. (labos(AT)ana.sote.hu), Jul 14 2004`

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Last modified July 26 13:41 EDT 2008. Contains 142293 sequences.

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