id:A082888 - OEIS Search Results

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

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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; listen)

	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: A125840 A069984 A104285 this_sequence A122384 A061779 A023307` `Adjacent sequences: A082885 A082886 A082887 this_sequence A082889 A082890 A082891`
	KEYWORD	`nonn`
	AUTHOR	`Labos E. (labos(AT)ana.sote.hu), Apr 17 2003`

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Last modified September 6 16:04 EDT 2008. Contains 143483 sequences.

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