id:A079629 - OEIS Search Results

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Number of twin prime pairs between p^2 and q^2 where (p,q) is the n-th twin prime pair.

+0
3

2, 2, 2, 2, 2, 3, 5, 3, 7, 6, 6, 10, 13, 7, 8, 9, 9, 7, 12, 18, 14, 24, 19, 10, 21, 21, 20, 20, 19, 22, 19, 24, 24, 27, 25, 30, 27, 23, 34, 29, 21, 35, 38, 30, 32, 30, 33, 36, 33, 30 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`Conjecturally a(n) is always positive. It seems that a(n) might tend to infinity.` `a(n) = A071538(A006512(n)^2) - A071538(A001359(n)^2). - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Feb 16 2008`
	EXAMPLE	`a(3)=2 because the third twin prime pair is (11,13) and there are 2 twin prime pairs between 121 and 169, namely (137,139) and (149,151).`
	CROSSREFS	`Cf. A057767.` `Cf. A137859, A137860.` `Sequence in context: A046774 A029105 A079954 this_sequence A029116 A064770 A060467` `Adjacent sequences: A079626 A079627 A079628 this_sequence A079630 A079631 A079632`
	KEYWORD	`easy,nonn`
	AUTHOR	`Paul Boddington (psb(AT)maths.warwick.ac.uk), Jan 30 2003`

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.

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