id:A134003 - OEIS Search Results

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Positive integers n for which n^2+(n+5)^2 is prime.

+0
2

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 17, 18, 19, 21, 22, 26, 27, 28, 29, 32, 34, 39, 41, 43, 44, 48, 51, 52, 53, 54, 56, 58, 59, 66, 72, 74, 77, 78, 79, 82, 83, 87, 91, 93, 94, 96, 97, 103, 104, 106, 107, 109, 113, 116, 117, 119, 121, 122, 123, 126, 134, 136, 137, 144, 151, 157 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`Conjecture. If n is in this sequence then n(n+5)=a(a+5)+b(b+5) is not solvable in integers. (This has been verified up to n=500.) See A134002 for the complement of this sequence (in the positive integers).`
	CROSSREFS	`Cf. A012132, A027861, A134002.` `Adjacent sequences: A134000 A134001 A134002 this_sequence A134004 A134005 A134006` `Sequence in context: A010455 A108319 A018772 this_sequence A128170 A018490 A113498`
	KEYWORD	`nonn`
	AUTHOR	`John W. Layman (layman(AT)math.vt.edu), Oct 01 2007`

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Last modified October 6 12:54 EDT 2008. Contains 144667 sequences.

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