id:A114227 - OEIS Search Results

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Smallest odd prime q that makes the n-th prime p[n] plus 2*q (p[n]+2q) a prime.

+0
17

3, 3, 3, 3, 3, 5, 3, 7, 3, 3, 3, 5, 3, 3, 7, 3, 3, 13, 3, 5, 3, 7, 3, 3, 3, 3, 11, 7, 5, 3, 7, 5, 7, 3, 3, 5, 3, 3, 7, 5, 3, 3, 7, 17, 11, 3, 3, 5, 3, 19, 5, 3, 3, 3, 7, 3, 3, 13, 5, 7, 3, 3, 17, 7, 3, 5, 3, 5, 3, 7, 3, 3, 5, 3, 37, 11, 19, 5, 7, 5, 13, 3, 5, 3, 7, 3, 3, 23, 37, 31, 11, 43, 5, 3, 7, 13, 17 (list; graph; listen)

	OFFSET	`3,1`
	EXAMPLE	`p[3]=5, 5+23=11 is prime, so q[3]=3;` `p[4]=7, 7+23=13 is prime, so q[4]=3;` `...` `p[20]=71, 71+2*13=97 is prime, so q[20]=13`
	MATHEMATICA	`Table[p1 = Prime[n1]; n2 = 2; p2 = 3; While[ cp = p1 + 2*p2; ! PrimeQ[cp], n2++; p2 = Prime[n2]]; p2, {n1, 3, 202}]`
	CROSSREFS	`Sequence in context: A105159 A050499 A147752 this_sequence A112593 A113215 A105591` `Adjacent sequences: A114224 A114225 A114226 this_sequence A114228 A114229 A114230`
	KEYWORD	`easy,nonn`
	AUTHOR	`Lei Zhou (lzhou5(AT)emory.edu), Nov 18 2005`

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Last modified November 24 23:16 EST 2009. Contains 167481 sequences.

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