A175160 Primes p such that 2*p+3, 4*p+9, 8*p+21, 16*p+45, 32*p+93 and 64*p+189 are also prime.

6047, 477727, 507757, 955457, 1015517, 1360367, 1766357, 2224517, 2859977, 9628837, 13462777, 14757047, 16287247, 16878397, 18246997, 21026657, 22482767, 22892197, 23389517, 30596497, 31932227, 33145687, 35764397, 36180527, 36909277, 42627197, 43139027

Offset: 1

Author

Vincenzo Librandi, Mar 08 2010

Keywords

• nonn
• changed

Comments

The coefficients of p in the definition are powers of 2; the constants in the definition are terms of A068156. - Harvey P. Dale, Mar 31 2012

Examples

			For p=6047, (12097, 24197, 48397, 96797, 193597, 387197) are prime.
		

Links

• Zak Seidov, Table of n, a(n) for n = 1..12628 (all terms up to 3*10^11)

Programs

Magma

[ p: p in PrimesUpTo(50000000) | IsPrime(p) and IsPrime(2*p+3) and IsPrime(4*p+9) and IsPrime(8*p+21) and IsPrime(16*p+45) and IsPrime(32*p+93) and IsPrime(64*p+189)];

Mathematica

okQ[n_]:=And@@PrimeQ[{3+2*n,9+4*n,21+8*n,45+16*n,93+32*n,189+64*n}]; Select[Prime[Range[2220000]],okQ] (* Harvey P. Dale, Mar 31 2012 *)