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

Offset

1,1

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]

Links

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

Example

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

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 *)

Prog

(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)]

Crossrefs

Sequence in context: A264949 A237961 A362954 * A184195 A269935 A269899

Adjacent sequences: A175157 A175158 A175159 * A175161 A175162 A175163

Keyword

nonn

Author

Vincenzo Librandi, Mar 08 2010

Status

approved