id:A157722 - OEIS Search Results

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Primes of the Form : p1=a*b+c;p2=a*c+b;p3=b*c+a;p=(p1+p2+p3)/2; p1,p2 and p3 are three consecutive prime numbers.

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43, 863, 1181, 3467, 10613, 23081, 26189, 27803, 42407, 138731, 463949, 630167, 702101, 1038731, 1417649, 1452851, 2005061, 2060921, 4925861, 6565721, 9709163, 9739721, 10047881, 14268113, 15515573, 16575113, 16615031, 17300873, 17382461 (list; graph; listen)

	OFFSET	`1,1`
	MATHEMATICA	`lst={}; Do[a=Prime[n]; b=Prime[n+1]; c=Prime[n+2]; x=ab+c; y=ac+b; z=b*c+a; p=(x+y+z)/2; If[PrimeQ[p], AppendTo[lst, p]], {n, 1, 7!}]; lst`
	CROSSREFS	`Sequence in context: A008388 A060888 A146979 this_sequence A010959 A010995 A122575` `Adjacent sequences: A157719 A157720 A157721 this_sequence A157723 A157724 A157725`
	KEYWORD	`nonn`
	AUTHOR	`Vladimir Orlovsky (4vladimir(AT)gmail.com), Mar 04 2009`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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