id:A144103 - OEIS Search Results

Search: id:A144103

Displaying 1-1 of 1 results found.

page 1

Least prime p that precedes a gap of exactly 2n+1 numbers containing only one prime.

+0
1

3, 5, 23, 19, 47, 83, 211, 109, 317, 619, 199, 1373, 1123, 1627, 4751, 2557, 3413, 4289, 1321, 2161, 2477, 7963, 5591, 9551, 17239, 15823, 14087, 19603, 34963, 36389, 33223, 24251, 35603, 43321, 19609, 134507, 31393, 136999, 31397, 38461, 107357 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`p and p+2n are primes and there is one prime in the range p+1 to p+2n-1.`
	FORMULA	`a(n) = prime for which 2n+2 first occurs in A031131.`
	MATHEMATICA	`nn=51; t=Table[0, {nn}]; t[[1]]=-1; cnt=1; n=1; While[cnt<nn, n++; d=(Prime[n+2]-Prime[n])/2; If[d<=nn && t[[d]]==0, cnt++; t[[d]]=Prime[n]]]; t=Rest[t]`
	CROSSREFS	`Sequence in context: A064187 A112686 A088121 this_sequence A137084 A067256 A136891` `Adjacent sequences: A144100 A144101 A144102 this_sequence A144104 A144105 A144106`
	KEYWORD	`nonn`
	AUTHOR	`T. D. Noe (noe(AT)sspectra.com), Sep 11 2008`

page 1

Search completed in 0.002 seconds

Last modified December 7 08:40 EST 2009. Contains 170430 sequences.

AT&T Labs Research