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

Author

Zak Seidov, Oct 30 2008

Keywords

• nonn

Comments

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

Examples

			{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}.
		

Crossrefs

Cf. A005097, A049441.

Programs

Magma

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