id:A065117 - OEIS Search Results

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Primes such that prime(p) +- pi(p) are simultaneously prime.

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3, 113, 463, 593, 743, 1109, 2473, 4139, 4657, 4937, 5531, 5879, 6473, 6581, 6659, 6701, 7297, 7529, 8387, 8521, 8929, 9349, 10369, 10499, 12289, 12829, 13411, 13697, 14033, 14323, 15907, 18637, 19391, 19841, 21143, 21647, 23021, 27077 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`Intersection of A065059 and A065060.`
	EXAMPLE	`113 is in the sequence because PrimePi(113) is 30 and both 83 and 143 are primes.`
	MATHEMATICA	`Do[p0 = Prime[ Prime[n]]; p1 = PrimePi[ Prime[n]]; If[ PrimeQ[p0 + p1] && PrimeQ[p0 - p1], Print[ Prime[n]]], {n, 1, 5000} ]`
	CROSSREFS	`Cf. A065059 and A065060.` `Sequence in context: A075051 A139929 A142603 this_sequence A132304 A097642 A009095` `Adjacent sequences: A065114 A065115 A065116 this_sequence A065118 A065119 A065120`
	KEYWORD	`nonn`
	AUTHOR	`Robert G. Wilson v (rgwv(AT)rgwv.com), Nov 12 2001`

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.

AT&T Labs Research