id:A085909 - OEIS Search Results

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Smallest prime p>prime(n) such that p+prime(n+1)-prime(n) is the next prime after p; or a(n)=0 if no such prime exists.

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0, 5, 11, 13, 17, 19, 29, 37, 31, 41, 47, 43, 59, 67, 53, 61, 71, 73, 79, 101, 83, 97, 131, 359, 103, 107, 109, 137, 127, 293, 163, 151, 149, 181, 179, 157, 167, 193, 173, 233, 191, 241, 197, 223, 227, 211, 467, 229, 239, 277, 251, 269, 283, 257, 263, 271, 281 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`A001223(n) = A001223(A049084(a(n))); a(A001359(n)) = A001359(n+1); conjecture: a(n)>0 for n>1 (implies twin prime conjecture). - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jan 26 2004`
	LINKS	`Eric Weisstein's World of Mathematics, Prime Difference Function`
	PROGRAM	`(Matlab program by D. Wasserman) P = primes(5000); A = zeros(1, length(P)); D = P(2:end) - P(1:(length(P) - 1)); for i = 2:2:(max(D)); f = find(D == i); A(f(1:(length(f) - 1))) = P(f(2:end)); end; A(2:100)`
	CROSSREFS	`Cf. A085910.` `Sequence in context: A087759 A161548 A090320 this_sequence A104110 A038936 A106091` `Adjacent sequences: A085906 A085907 A085908 this_sequence A085910 A085911 A085912`
	KEYWORD	`nonn`
	AUTHOR	`Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Jul 09 2003`
	EXTENSIONS	`More terms from Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com) and David Wasserman (wasserma(AT)spawar.navy.mil), Jan 26 2004` `Edited by N. J. A. Sloane (njas(AT)research.att.com), Oct 21 2008 at the suggestion of R. J. Mathar`

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Last modified November 25 14:49 EST 2009. Contains 167514 sequences.

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