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Differences between the sum of the first three primes and the fourth prime in consecutive prime quadruples.

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3, 4, 10, 14, 22, 26, 30, 40, 46, 56, 66, 74, 78, 84, 98, 106, 116, 126, 132, 140, 146, 154, 168, 184, 194, 202, 206, 202, 218, 234, 256, 258, 274, 282, 294, 304, 314, 324, 338, 342, 358, 368, 382, 378, 384, 406, 432, 446, 450, 460, 462, 474, 486, 502, 518, 526 (list; graph; listen)

	OFFSET	`2,1`
	COMMENT	`There are occurrences where the next term is less than the current term. Conjecture: The number of occurrences where the current term exceeds the next term is infinite.`
	FORMULA	`prime(n) + prime(n+1)+prime(n+2) - prime(n+3)`
	PROGRAM	`(PARI) g(n)=for(x=1, n, print1(prime(x)+prime(x+1)+prime(x+2)-prime(x+3)", "))`
	CROSSREFS	`Sequence in context: A143372 A035594 A167273 this_sequence A071019 A025084 A134512` `Adjacent sequences: A096377 A096378 A096379 this_sequence A096381 A096382 A096383`
	KEYWORD	`nonn`
	AUTHOR	`Cino Hilliard (hillcino368(AT)gmail.com), Aug 04 2004`

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.

AT&T Labs Research