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A037072 Squares which are the sum of twin prime pairs. 3
36, 144, 1764, 2304, 5184, 7056, 8100, 30276, 41616, 69696, 93636, 138384, 166464, 207936, 224676, 298116, 352836, 360000, 412164, 562500, 725904, 777924, 876096, 944784, 956484 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

There are exactly 5^2 squares less than or equal to 1000^2 which are the sum of twin prime pairs.

LINKS

Table of n, a(n) for n=1..25.

EXAMPLE

36 (square) = 6^2 = 17 + 19 (twin prime pair).

MATHEMATICA

lst={}; Do[p=n^2; If[PrimeQ[p/2-1]&&PrimeQ[p/2+1], AppendTo[lst, p]], {n, 0, 7!, 2}]; lst (* Vladimir Joseph Stephan Orlovsky, Sep 25 2008 *)

CROSSREFS

Cf. A000290, A001359, A006512.

Sequence in context: A299854 A154711 A162992 * A076432 A003848 A203753

Adjacent sequences:  A037069 A037070 A037071 * A037073 A037074 A037075

KEYWORD

nonn

AUTHOR

G. L. Honaker, Jr.

STATUS

approved

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Last modified December 5 13:26 EST 2019. Contains 329751 sequences. (Running on oeis4.)