A178383 Primes p such that q*p+-Mod(p,q) are primes, for q=3.

5, 23, 167, 257, 293, 797, 887, 953, 1013, 1283, 1307, 1667, 1913, 2003, 2333, 2897, 2927, 3533, 4013, 4877, 4943, 5087, 5147, 5417, 5483, 6173, 6473, 6803, 6827, 6917, 7127, 7187, 7523, 7547, 7673, 7853, 7877, 8147, 8447, 8513, 9623, 9857, 10037

Offset

1,1

Comments

3*5=15+-2->primes,..

Links

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Mathematica

q=3; lst={}; Do[p=Prime[n]; If[PrimeQ[q*p-Mod[p, q]]&&PrimeQ[q*p+Mod[p, q]], AppendTo[lst, p]], {n, 7!}]; lst
Select[Prime[Range[1300]], AllTrue[3#+{Mod[#, 3], -Mod[#, 3]}, PrimeQ]&] (* The program uses the AllTrue function from Mathematica version 10 *) (* Harvey P. Dale, Sep 01 2017 *)

Crossrefs

Cf. A000040

Sequence in context: A308362 A054749 A107204 * A167576 A306180 A308443

Adjacent sequences: A178380 A178381 A178382 * A178384 A178385 A178386

Keyword

nonn

Author

Vladimir Joseph Stephan Orlovsky, May 26 2010

Status

approved