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A037073 Numbers k such that (6*k)^2 is the sum of a twin prime pair. 13
1, 2, 7, 8, 12, 14, 15, 29, 34, 44, 51, 62, 68, 76, 79, 91, 99, 100, 107, 125, 142, 147, 156, 162, 163, 173, 190, 202, 212, 231, 245, 252, 253, 264, 295, 306, 317, 330, 331, 355, 366, 376, 377, 386, 397, 442, 448, 453, 462, 469, 481, 491, 498, 502, 516, 547 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

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

C. K. Caldwell, Twin primes

FORMULA

isa := n -> isprime(n) and isprime(n+2) and issqr(2*n+2):

select(isa, [$4..1000000]): map(n -> sqrt(2*n+2)/6, %); # Peter Luschny, Jan 05 2020

EXAMPLE

E.g. n=44 -> (6*44)^2 = 69696 = 34847 + 34849 (twin prime pair).

MATHEMATICA

Select[Sqrt[Plus@@@Select[Partition[Prime[Range[4*10^5]], 2, 1], Differences[#]=={2} &]/36], IntegerQ] (* Jayanta Basu, May 26 2013 *)

CROSSREFS

Cf. A000290, A001359, A006512.

A152786 = 6*A037073. - Zak Seidov, Aug 20 2010

Sequence in context: A053013 A070044 A129850 * A329407 A329408 A047239

Adjacent sequences:  A037070 A037071 A037072 * A037074 A037075 A037076

KEYWORD

nonn

AUTHOR

G. L. Honaker, Jr.

EXTENSIONS

More terms from Jud McCranie, Dec 30 2000

STATUS

approved

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Last modified March 9 03:05 EST 2021. Contains 341961 sequences. (Running on oeis4.)