id:A081531 - OEIS Search Results

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Primes p such that (r-p)/log(p) > 2, where r is the next prime after p.

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7, 113, 139, 199, 211, 293, 317, 523, 773, 839, 863, 887, 953, 1069, 1129, 1259, 1327, 1381, 1637, 1669, 1759, 1831, 1913, 1933, 1951, 2113, 2161, 2179, 2221, 2251, 2311, 2477, 2503, 2557, 2593, 2803, 2861, 2971, 3089, 3137, 3229, 3271, 3413, 3469, 3739 (list; graph; listen)

	OFFSET	`1,1`
	FORMULA	`prime(j) such that (prime(j+1)-prime(j))/log(prime(j)) > 2.`
	EXAMPLE	`If p=1327 then r=1361 and (r-p)/log(p) = 34/log(1327) = 4.72834..., so 1327 is in the sequence.`
	MATHEMATICA	`Do[s=(Prime[n+1]-Prime[n])/Log[Prime[n]]//N; If[s>2, Print[Prime[n]]], {n, 1, 2000}]`
	CROSSREFS	`Cf. A082862, A082884-A082886, A082889-A082891.` `Sequence in context: A010795 A099153 A079296 this_sequence A142537 A084974 A156240` `Adjacent sequences: A081528 A081529 A081530 this_sequence A081532 A081533 A081534`
	KEYWORD	`nonn`
	AUTHOR	`Labos E. (labos(AT)ana.sote.hu), Apr 17 2003`

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Last modified November 23 17:09 EST 2009. Contains 167438 sequences.

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