A146480 Numbers k with the property that p = 2k + 1 and q = (2k)^3 + 3 are both primes.

1, 2, 8, 11, 26, 50, 53, 83, 95, 140, 215, 233, 251, 308, 341, 350, 380, 440, 443, 491, 590, 641, 893, 935, 938, 953, 956, 986, 998, 1040, 1055, 1103, 1106, 1220, 1295, 1430, 1451, 1478, 1505, 1511, 1568, 1583, 1628, 1778, 1808, 1898, 1910, 1916, 1958, 2006

Offset

1,2

Comments

Intersection of A005097 with the sequence of halved terms of A049441. - R. J. Mathar, Nov 05 2008

Links

Table of n, a(n) for n=1..50.

Example

{n, p, q}: {1, 3, 11}, {2, 5, 67}, {8, 17, 4099}, {11, 23, 10651}, {26, 53, 140611}, {50, 101, 1000003}, {53, 107, 1191019}, {83, 167, 4574299}, {95, 191, 6859003}.

Prog

(Magma) [n: n in [0..10000]|IsPrime((2*n)+1) and IsPrime((2*n)^3+3)] // Vincenzo Librandi, Dec 13 2010

Crossrefs

Cf. A005097, A049441.

Sequence in context: A174114 A197540 A089118 * A093918 A332098 A254313

Adjacent sequences: A146477 A146478 A146479 * A146481 A146482 A146483

Keyword

nonn

Author

Zak Seidov, Oct 30 2008

Status

approved