A138763 - OEIS

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A138763

Primes p1 such that p1^2+p2^3=p3 and p1^3+p2^2=p4, p3 and p4 are average of twin primes. p1 and p2 consecutive primes, p1 < p2.

23, 210053 (list; graph; refs; listen; history; internal format)

	OFFSET	`1,1`
	MATHEMATICA	`a={}; Do[p1=Prime[n]; p2=Prime[n+1]; p3=p1^2+p2^3; p4=p1^3+p2^2; If[PrimeQ[p3-1]&&PrimeQ[p3+1]&&PrimeQ[p4-1]&&PrimeQ[p4+1], AppendTo[a, p1]], {n, 13^5}]; Print[a];`
	CROSSREFS	`Sequence in context: A101699 A122148 A068736 * A156176 A013772 A034247` `Adjacent sequences: A138760 A138761 A138762 * A138764 A138765 A138766`
	KEYWORD	`nonn,bref`
	AUTHOR	`Vladimir Orlovsky (4vladimir(AT)gmail.com), May 15 2008`

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Last modified February 17 19:13 EST 2012. Contains 206085 sequences.