id:A097497 - OEIS Search Results

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Floor( prime(n)*(prime(n)+prime(n+1))/prime(n+1)).

+0
1

3, 4, 8, 11, 20, 22, 32, 34, 41, 56, 56, 70, 80, 82, 88, 100, 116, 116, 130, 140, 140, 154, 160, 170, 190, 200, 202, 212, 214, 213, 250, 256, 272, 268, 296, 296, 308, 322, 328, 340, 356, 352, 380, 382, 392, 386, 410, 442, 452, 454, 460, 476, 472, 496, 508, 520 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`if seq(n+1) - seq(n) = 0 or 2 then prime(n) and prime(n+1) are often twins.`
	FORMULA	`Prime(n) is to prime(n+1) as x is to prime(n)+prime(n+1)`
	EXAMPLE	`Starting with the second prime: 3 is to 5 as x is to 8. x = 8*3/5 => 4`
	PROGRAM	`(PARI) p(n) = for(x=1, n, y=prime(x+1)*prime(x+2)/prime(x)+.0; print1(floor(y)", "))`
	CROSSREFS	`Sequence in context: A001994 A084421 A024786 this_sequence A006167 A137504 A109794` `Adjacent sequences: A097494 A097495 A097496 this_sequence A097498 A097499 A097500`
	KEYWORD	`frac,nonn`
	AUTHOR	`Cino Hilliard (hillcino368(AT)gmail.com), Aug 24 2004`

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Last modified December 15 00:47 EST 2009. Contains 170825 sequences.

AT&T Labs Research