A151612 Values of k arising in A160518: numbers k such that (2*k^3 - 1, 2*k^3 + 1) are twin primes.

6, 21, 99, 120, 249, 354, 375, 435, 600, 609, 675, 720, 804, 819, 906, 915, 1080, 1215, 1230, 1359, 1671, 1740, 1794, 1995, 2250, 2349, 2421, 2430, 2469, 2625, 2664, 2754, 2805, 2826, 2949, 3090, 3225, 3291, 3546, 3879, 4200, 4506, 4761, 4896, 5241, 5271

Offset

1,1

Links

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

Formula

{n: 2*n^3-1 in A001359}. - R. J. Mathar, May 29 2009

Example

6 is a term since 2 * 6^3 = 432 and 431 and 433 are twin primes.

Maple

isA001359 := proc(n) RETURN(isprime(n) and isprime(n+2)) ; end: for n from 1 to 8000 do twon3 := 2*n^3 ; if isA001359(twon3-1) then printf("%d, ", n) ; fi; od: # R. J. Mathar, May 29 2009

Mathematica

Select[3*Range[2000], And @@ PrimeQ[2*#^3 + {-1, 1}] &] (* Amiram Eldar, Dec 28 2019 *)

Crossrefs

Cf. A001359, A160518.

Sequence in context: A369556 A009247 A093774 * A344496 A012773 A012662

Adjacent sequences: A151609 A151610 A151611 * A151613 A151614 A151615

Keyword

nonn

Author

Howard Berman (howard_berman(AT)hotmail.com), May 16 2009

Extensions

More terms from R. J. Mathar, May 29 2009

Status

approved