A161614 Primes p such that 2*p+100280245065 is also a prime number.

41, 43, 89, 127, 137, 157, 193, 211, 233, 241, 251, 271, 283, 317, 331, 353, 389, 401, 419, 461, 487, 503, 521, 547, 557, 613, 619, 751, 787, 827, 857, 919, 929, 937, 941, 953, 1009, 1013, 1021, 1033, 1069, 1097, 1103, 1163, 1171, 1193, 1229, 1361, 1367

Offset

1,1

Comments

The large constant is constructed from 3*5*7*11*13*17*19*23*29*31 = 100280245065.

Links

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

Example

The prime 41 is in the sequence because 2*41+100280245065 = 100280245147 is also prime.

Mathematica

a=3*5*7*11*13*17*19*23*29*31; 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, 11]]}, Select[Prime[Range[250]], PrimeQ[ 2#+c]&]] (* Harvey P. Dale, Nov 01 2011 *)
Select[Prime[Range[300]], PrimeQ[2 # + 100280245065]&] (* Vincenzo Librandi, Apr 15 2013 *)

Prog

(Magma) [p: p in PrimesUpTo(1400) | IsPrime(2*p + 100280245065)]; // Vincenzo Librandi, Apr 15 2013

Crossrefs

Sequence in context: A186401 A180548 A157194 * A106098 A155500 A185657

Adjacent sequences: A161611 A161612 A161613 * A161615 A161616 A161617

Keyword

nonn,less

Author

Vladimir Joseph Stephan Orlovsky, Jun 14 2009

Extensions

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

Status

approved