id:A084294 - OEIS Search Results

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Number of primes in [p(n),n+p(n)] closed interval, where p(n) is the n-th prime.

+0
2

2, 2, 2, 2, 2, 3, 3, 2, 3, 3, 3, 4, 4, 3, 4, 4, 5, 5, 5, 5, 4, 5, 5, 7, 6, 6, 5, 5, 5, 5, 7, 7, 7, 7, 8, 7, 8, 9, 8, 8, 7, 7, 9, 8, 9, 8, 9, 11, 10, 10, 11, 10, 10, 9, 10, 11, 10, 9, 9, 9, 8, 10, 11, 11, 10, 11, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 14, 14, 14, 14, 15, 15, 15, 14, 15, 14, 13 (list; graph; listen)

	OFFSET	`1,1`
	FORMULA	`a(n)=Pi[n+p(n)]=A000720(n+A000040(n))`
	MATHEMATICA	`t[x_] := Table[w, {w, Prime[x], x+Prime[x]}] Table[Count[PrimeQ[t[n]], True], {n, 1, 128}] or Table[PrimePi[n+Prime[n]]-n+1, {n, 1, 25}];`
	CROSSREFS	`Cf. A000040, A000720, A061067, A061068, A084295.` `Sequence in context: A165054 A067743 A029230 this_sequence A067752 A025422 A078640` `Adjacent sequences: A084291 A084292 A084293 this_sequence A084295 A084296 A084297`
	KEYWORD	`nonn`
	AUTHOR	`Labos E. (labos(AT)ana.sote.hu), May 27 2003`

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Last modified December 11 12:57 EST 2009. Contains 170656 sequences.

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