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
Keywords
Examples
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.
Links
- Amiram Eldar, Table of n, a(n) for n = 1..10000
Programs
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Mathematica
Select[Range[12000],AllTrue[#^3-{4,2},PrimeQ]&] (* Harvey P. Dale, Jul 28 2024 *) -
PARI
is(n) = isprime(n^3-2) && isprime(n^3-4) \\ Michel Marcus, Jul 22 2013
Extensions
Term 6045 added by Michel Marcus, Jul 22 2013
Comments