A154114 Primes p such that p + 9699690 is also prime, where 9699690 is the 8th primorial number A002110(8).

23, 37, 41, 43, 59, 73, 79, 83, 109, 113, 127, 137, 151, 163, 197, 199, 223, 227, 229, 233, 239, 251, 263, 269, 283, 313, 337, 349, 373, 383, 389, 409, 421, 449, 457, 463, 479, 523, 557, 599, 617, 647, 691, 727, 739, 743, 751, 757, 761, 773, 797, 811, 821

Offset: 1

Author

Vladimir Joseph Stephan Orlovsky, Jan 04 2009

Keywords

• nonn

Links

• Amiram Eldar, Table of n, a(n) for n = 1..10000 (terms 1..2000 from G. C. Greubel)

Crossrefs

Cf. A001359, A002110, A023201, A049481, A049482, A049483, A049484, A049485.

Programs

Magma

[p: p in PrimesUpTo(1000) | IsPrime(p+9699690)]; // Vincenzo Librandi, Sep 02 2016

Mathematica

lst={};Do[p=Prime[n];If[PrimeQ[p+9699690],AppendTo[lst,p]],{n,6!}];lst
Select[Prime[Range[200]],PrimeQ[#+9699690]&]  (* Harvey P. Dale, Apr 26 2011 *)

PARI

is(n)=isprime(n+9699690) && isprime(n) \\ Charles R Greathouse IV, Sep 02 2016

Formula

a(n) >> n log^2 n. - Charles R Greathouse IV, Sep 02 2016