A161615 Primes p such that 2*p+3234846615 is also a prime number.

31, 43, 71, 73, 89, 107, 139, 179, 211, 223, 241, 269, 271, 281, 293, 311, 317, 337, 379, 383, 389, 419, 443, 449, 467, 503, 563, 569, 587, 607, 647, 653, 727, 739, 743, 757, 761, 811, 839, 857, 863, 881, 941, 967, 977, 991, 1019, 1021, 1049, 1061, 1069, 1087

Offset

1,1

Comments

The large constant is constructed as 3*5*7*11*13*17*19*23*29 = 3234846615.

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Example

The prime 31 is in the sequence because 2*31 + 3234846615 = 3234846677 is also prime.

Mathematica

a=3*5*7*11*13*17*19*23*29; c=0; lst={}; Do[p=Prime[n]; If[PrimeQ[2*p+a], AppendTo[lst, p], c++ ], {n, 6!}]; lst
With[{c=Times@@Prime[Range[2, 10]]}, Select[Prime[Range[200]], PrimeQ[ 2#+c]&]] (* Harvey P. Dale, Dec 30 2012 *)
Select[Prime[Range[300]], PrimeQ[2 # + 3234846615]&] (* Vincenzo Librandi, Apr 15 2013 *)

Prog

(Magma) [p: p in PrimesUpTo(1100) | IsPrime(2*p+3234846615)]; // Vincenzo Librandi, Apr 15 2013

Crossrefs

Sequence in context: A060844 A112789 A266989 * A307950 A342974 A347035

Adjacent sequences: A161612 A161613 A161614 * A161616 A161617 A161618

Keyword

nonn,less

Author

Vladimir Joseph Stephan Orlovsky, Jun 14 2009

Extensions

Definition reworded by R. J. Mathar, Oct 02 2009

Status

approved