A178385 Primes p such that q*p+-Mod(p,q) are primes, for q=4.

11, 19, 59, 151, 331, 359, 439, 499, 571, 599, 1019, 1039, 1279, 1319, 1451, 1871, 2131, 2179, 2251, 2459, 2819, 3119, 3251, 3539, 3659, 3911, 4231, 4679, 5099, 5351, 5519, 6199, 6211, 6599, 6871, 6991, 7639, 7759, 8179, 8999, 9391, 9739, 10211

Offset

1,1

Comments

4*11=44+-3->primes,..

Links

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

Mathematica

q=4; 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[1500]], AllTrue[4#+{Mod[#, 4], -Mod[#, 4]}, PrimeQ]&] (* Harvey P. Dale, Aug 16 2021 *)

Crossrefs

Cf. A000040, A178383

Sequence in context: A139829 A138355 A265802 * A139602 A080789 A057770

Adjacent sequences: A178382 A178383 A178384 * A178386 A178387 A178388

Keyword

nonn

Author

Vladimir Joseph Stephan Orlovsky, May 26 2010

Status

approved