A178507 Numbers n that (n^3 - 4,n^3 - 2) is a twin prime pair.

15, 201, 411, 477, 561, 1065, 1335, 1515, 1527, 1617, 2001, 2331, 2355, 2511, 2517, 2637, 2727, 2817, 3117, 3927, 4131, 4611, 4755, 4797, 5121, 5427, 5457, 5787, 6045, 6501, 6675, 7347, 7395, 8637, 9591, 9711, 10071, 10305, 10371, 10377, 10965, 11031

Offset

1,1

Comments

See A178506.

Necessarily n odd multiple of 3, LSD of n is e = 1, 5 or 7.

Links

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

Example

p = 15^3 - 4 = 3371 = prime(475), p+2 = prime(476), 15 is first term.
p = 201^3 - 4 = 8120597 = prime(547310), p+2 = prime(547311), 201 is 2nd term.
p = 15915^3 - 4 = 4031066185871 = prime(i), i = 144036640497, p+2 = prime(i+1), 15915 is another term.

Mathematica

Select[Range[12000], AllTrue[#^3-{4, 2}, PrimeQ]&] (* Harvey P. Dale, Jul 28 2024 *)

Prog

(PARI) is(n) = isprime(n^3-2) && isprime(n^3-4) \\ Michel Marcus, Jul 22 2013

Crossrefs

Cf. A001359, A038600, A178506.

Sequence in context: A048444 A002007 A207835 * A012566 A238992 A216465

Adjacent sequences: A178504 A178505 A178506 * A178508 A178509 A178510

Keyword

nonn

Author

Ulrich Krug (leuchtfeuer37(AT)gmx.de), May 29 2010

Extensions

Term 6045 added by Michel Marcus, Jul 22 2013

Status

approved