id:A120936 - OEIS Search Results

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A120936

Number of primes in the interval [n,n+log(n)].

+0
2

0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 2, 1, 1, 0, 1, 1, 1, 0, 0, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 1, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 1, 0, 1, 1, 1, 1, 2, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 2, 1, 2, 2, 2, 1, 2, 1, 2 (list; graph; listen)

	OFFSET	`1,11`
	COMMENT	`Soundararajan states that, on average, there is one prime in the interval [n,n+log(n)] for any number n. See A120934 for the prime n that yield new records.`
	LINKS	`T. D. Noe, Table of n, a(n) for n=1..5000` `K. Soundararajan, The distribution of prime numbers`
	MATHEMATICA	`Table[Length[Select[Range[n, n+Log[n]], PrimeQ]], {n, 150}]`
	CROSSREFS	`Sequence in context: A100073 A075685 A037906 this_sequence A101675 A051764 A025906` `Adjacent sequences: A120933 A120934 A120935 this_sequence A120937 A120938 A120939`
	KEYWORD	`nonn`
	AUTHOR	`T. D. Noe (noe(AT)sspectra.com), Jul 21 2006`

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.

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