id:A063790 - OEIS Search Results

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Smallest prime gap between n^2 and (n + 1)^2.

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1, 2, 2, 2, 2, 2, 2, 2, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 2, 2, 2, 2, 2, 2, 6, 4, 2, 2, 4, 2, 2, 2, 4, 2, 2, 2, 2, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 2, 2, 2, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`a(n)=2 indicates at least one twin prime.`
	LINKS	`Harry J. Smith, Table of n, a(n) for n=1,...,2000`
	EXAMPLE	`Primes between 81=9^2 and 100=(9+1)^2: 83, 89 and 97; so 89-83=6=a(9)`
	PROGRAM	`(PARI) { for (n=1, 2000, p=nextprime(n^2); q=precprime((n + 1)^2); a=q-p; r=0; while (r<q, r=nextprime(p+1); g=r-p; p=r; if (g<a, a=g)); write("b063790.txt", n, " ", a) ) } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Aug 31 2009]`
	CROSSREFS	`Sequence in context: A166594 A105267 A008838 this_sequence A109913 A048052 A024708` `Adjacent sequences: A063787 A063788 A063789 this_sequence A063791 A063792 A063793`
	KEYWORD	`nonn`
	AUTHOR	`Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Aug 17 2001`

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Last modified November 23 17:09 EST 2009. Contains 167438 sequences.

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