A036570 - OEIS

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A036570

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

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; refs; listen; history; internal format)

	OFFSET	`1,1`
	COMMENTS	`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: A155903 A139860 A201480 * A147615 A173872 A155241` `Adjacent sequences: A036567 A036568 A036569 * A036571 A036572 A036573`
	KEYWORD	`nonn`
	AUTHOR	`N. J. A. Sloane (njas(AT)research.att.com).`

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Last modified February 17 23:58 EST 2012. Contains 206085 sequences.