A178507 - OEIS

%I #11 Jul 28 2024 11:56:14

%S 15,201,411,477,561,1065,1335,1515,1527,1617,2001,2331,2355,2511,2517,

%T 2637,2727,2817,3117,3927,4131,4611,4755,4797,5121,5427,5457,5787,

%U 6045,6501,6675,7347,7395,8637,9591,9711,10071,10305,10371,10377,10965,11031

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

%C See A178506.

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

%H Amiram Eldar, <a href="/A178507/b178507.txt">Table of n, a(n) for n = 1..10000</a>

%e p = 15^3 - 4 = 3371 = prime(475), p+2 = prime(476), 15 is first term.

%e p = 201^3 - 4 = 8120597 = prime(547310), p+2 = prime(547311), 201 is 2nd term.

%e p = 15915^3 - 4 = 4031066185871 = prime(i), i = 144036640497, p+2 = prime(i+1), 15915 is another term.

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

%o (PARI) is(n) = isprime(n^3-2) && isprime(n^3-4) \\ _Michel Marcus_, Jul 22 2013

%Y Cf. A001359, A038600, A178506.

%K nonn

%O 1,1

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

%E Term 6045 added by _Michel Marcus_, Jul 22 2013