id:A084105 - OEIS Search Results

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Middle q of three consecutive primes p,q,r, such that one adjacent prime is near, the other is far and the ratio of the differences (whichever of (r-q)/(q-p) or (q-p)/(r-q) is greater than 1) sets a record.

+0
2

3, 29, 113, 139, 199, 523, 1151, 1669, 2971, 6947, 10007, 16141, 25471, 40639, 79699, 102761, 173359, 265621, 404851, 838249, 1349533, 1562051, 6371537, 7230479, 27980987, 42082303, 53231051, 70396589, 192983851, 253878617, 390932389 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`Are there entries other than a(3) for which the smaller difference exceeds 2?`
	LINKS	`Hugo Pfoertner, Maximally asymmetric prime triplets, FORTRAN program`
	EXAMPLE	`a(3)=113 because the ratio (113-109)/(127-113)=2/7=0.28571.. is smaller than the previous minimum produced by (31-29)/(29-23)=1/3=0.33333...`
	CROSSREFS	`Cf. A084106, A031132, A008996, A002386.` `Sequence in context: A106942 A100202 A094068 this_sequence A024386 A163854 A094809` `Adjacent sequences: A084102 A084103 A084104 this_sequence A084106 A084107 A084108`
	KEYWORD	`nonn`
	AUTHOR	`Hugo Pfoertner (hugo(AT)pfoertner.org), May 29 2003`
	EXTENSIONS	`More terms from Don Reble (djr(AT)nk.ca), May 29 2003`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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