id:A036570 - OEIS Search Results

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Primes p such that (p+1)/2 and (p+2)/3 are also prime.

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13, 37, 157, 541, 877, 1201, 1381, 1621, 2017, 2557, 2857, 3061, 4357, 4441, 5077, 5581, 5701, 6337, 6637, 6661, 6997, 7417, 8221, 9181, 9661, 9901, 10837, 11497, 12457, 12601, 12721, 12757, 13681, 14437, 15241, 16921, 17077, 18217 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`The prime p is followed by two semiprimes; a third semiprime is not possible. - T. D. Noe, Jul 23 2008`
	LINKS	`T. D. Noe, Table of n, a(n) for n=1..1000`
	MATHEMATICA	`lst={}; Do[p=Prime[n]; If[PrimeQ[(p+1)/2]&&PrimeQ[(p+2)/3], AppendTo[lst, p]], {n, 8!}]; lst [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Jul 31 2009]`
	CROSSREFS	`Cf. A147615.` `Sequence in context: A155297 A155903 A139860 this_sequence A147615 A155241 A155222` `Adjacent sequences: A036567 A036568 A036569 this_sequence A036571 A036572 A036573`
	KEYWORD	`nonn`
	AUTHOR	`N. J. A. Sloane (njas(AT)research.att.com).`

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.

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