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A082076

First differences of primes of the form 4k+3 (A002145), divided by 4.

+0
6

1, 1, 2, 1, 2, 3, 1, 3, 2, 1, 2, 1, 5, 1, 5, 1, 2, 3, 3, 1, 3, 3, 2, 3, 3, 1, 3, 3, 3, 2, 3, 6, 1, 5, 4, 3, 2, 3, 1, 9, 3, 2, 1, 5, 1, 3, 2, 1, 2, 1, 5, 6, 4, 2, 4, 3, 2, 3, 3, 3, 1, 3, 6, 2, 7, 2, 3, 1, 2, 9, 6, 3, 1, 3, 5, 1, 5, 1, 5, 1, 2, 7, 5, 1, 3, 2, 7, 3, 2, 3, 3, 6, 1, 3, 5, 7, 3, 2, 4, 9, 2, 7, 5, 1, 2 (list; graph; listen)

	OFFSET	`1,3`
	FORMULA	`a(n)=[A002145(n+1)-A002145(n)]/4`
	EXAMPLE	`First and second 4k+3 primes are 3 and 7, so a(1)=(7-3)/4=1.`
	MATHEMATICA	`k=0; m=4; r=3; Do[s=Mod[Prime[n], m]; If[Equal[s, r], rp=ep; k=k+1; ep=Prime[n]; Print[(ep-rp)/4]; ], {n, 1, 1000}]`
	CROSSREFS	`Cf. A002144, A002145, A082073-A082075.` `Sequence in context: A101161 A097825 A002343 this_sequence A048793 A075106 A036995` `Adjacent sequences: A082073 A082074 A082075 this_sequence A082077 A082078 A082079`
	KEYWORD	`nonn`
	AUTHOR	`Labos E. (labos(AT)ana.sote.hu), Apr 07 2003`

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Last modified July 26 23:19 EDT 2008. Contains 142293 sequences.

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