id:A073662 - OEIS Search Results

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Rearrangement of even numbers such that a(k)*a(k+1) + 1 is a prime for all k.

+0
6

2, 6, 10, 4, 18, 22, 16, 12, 8, 14, 20, 26, 36, 28, 24, 32, 38, 42, 34, 30, 40, 52, 46, 66, 48, 44, 54, 64, 70, 60, 50, 56, 80, 68, 62, 84, 74, 90, 72, 58, 76, 88, 94, 78, 82, 96, 100, 106, 120, 86, 98, 104, 122, 108, 112, 118, 102, 116, 132, 124, 142, 114, 110, 128, 92 (list; graph; listen)

	OFFSET	`0,1`
	COMMENT	`a(1)=2; a(n) is the smallest number not already in the sequence such that a(n)*a(n-1) + 1 is a prime. Some numbers retain their places (that is an even number 2n retains its n-th position), such numbers are in A076023.`
	CROSSREFS	`Cf. A073661.` `Sequence in context: A117541 A095105 A052194 this_sequence A086553 A004055 A077933` `Adjacent sequences: A073659 A073660 A073661 this_sequence A073663 A073664 A073665`
	KEYWORD	`nonn`
	AUTHOR	`Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Aug 10 2002`
	EXTENSIONS	`More terms from Hans Havermann (pxp(AT)rogers.com), Sep 23 2002`

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Last modified December 1 13:27 EST 2009. Contains 167806 sequences.

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