A082888 - OEIS

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A082888

Primes p such that (r-p)/log(p) > 3, where r is the next prime after p.

1129, 1327, 1669, 2179, 2477, 2971, 3137, 3271, 4297, 4831, 5119, 5351, 5531, 5591, 5749, 5953, 6491, 6917, 7253, 7759, 7963, 8389, 8467, 8893, 8971, 9551, 9973, 10009, 10399, 10531, 10799, 10909, 11743, 12163, 12853, 13063, 13187, 13933 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,1`
	FORMULA	`prime(j) such that (prime(j+1)-prime(j))/log(prime(j)) > 3.`
	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>3, Print[Prime[n]]], {n, 1, 2000}]`
	CROSSREFS	`Cf. A082862, A082884-A082886, A082889-A082891.` `Sequence in context: A104285 A203830 A203063 * A122384 A061779 A023307` `Adjacent sequences: A082885 A082886 A082887 * A082889 A082890 A082891`
	KEYWORD	`nonn`
	AUTHOR	`Labos E. (labos(AT)ana.sote.hu), Apr 17 2003`

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Last modified February 16 21:04 EST 2012. Contains 205969 sequences.