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A154667 Averages of twin prime pairs such that p1 * p2 + AverageTwinPrime is prime. 2
4, 6, 30, 60, 138, 180, 240, 420, 618, 1050, 1608, 1698, 1788, 2268, 2310, 2730, 3258, 3390, 3528, 3768, 4158, 4218, 4338, 4800, 5640, 5868, 6660, 6690, 6870, 6960, 7488, 7548, 7590, 8538, 8628, 8970, 9630, 9858, 9930, 10458, 11118, 11970, 12540, 13338 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Amiram Eldar, Table of n, a(n) for n = 1..10000

EXAMPLE

3*5 + 4 = 19.

5*7 + 6 = 41.

MATHEMATICA

lst={}; Do[If[PrimeQ[n-1]&&PrimeQ[n+1], If[PrimeQ[(n-1)*(n+1)+n], AppendTo[lst, n]]], {n, 8!}]; lst

PROG

(MAGMA) [p+1:p in PrimesUpTo(14000)|IsPrime(p+2) and IsPrime(p*(p+2)+p+1)]; // Marius A. Burtea, Dec 21 2019

CROSSREFS

Cf. A154666.

A014574 INTERSECT A045546. - R. J. Mathar, May 31 2010

Sequence in context: A056221 A046849 A090530 * A093121 A248048 A209298

Adjacent sequences:  A154664 A154665 A154666 * A154668 A154669 A154670

KEYWORD

nonn

AUTHOR

Vladimir Joseph Stephan Orlovsky, Jan 13 2009

STATUS

approved

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Last modified August 9 21:08 EDT 2022. Contains 356026 sequences. (Running on oeis4.)