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A155853 Numbers n such that 13*n + 3 is a prime. 2
0, 2, 8, 16, 20, 28, 32, 40, 46, 50, 58, 62, 68, 76, 82, 98, 100, 106, 110, 112, 116, 128, 130, 140, 146, 152, 160, 166, 170, 172, 188, 190, 196, 208, 218, 232, 250, 256, 266, 272, 278, 280, 296, 298, 302, 308, 316, 326, 338, 340, 358, 368, 370, 380, 382, 386 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
From Avik Roy (avik_3.1416(AT)yahoo.co.in), Feb 02 2009: (Start)
Only numbers of the form 6m+-2 can be included in this sequence.
All terms are evidently even and thus it can be concluded that 13n+3 can't be a prime if n itself is a prime greater than 2. (End)
LINKS
MATHEMATICA
f[n_]:=13*n+3; lst={}; Do[p=f[n]; If[PrimeQ[p], AppendTo[lst, n]], {n, 0, 6!}]; lst (* Vladimir Joseph Stephan Orlovsky, Jul 01 2009 *)
Select[Range[0, 800], PrimeQ[13 # + 3] &] (* Vincenzo Librandi, Oct 15 2012 *)
PROG
(Magma) [n: n in [0..400] | IsPrime(13*n + 3)]; // Vincenzo Librandi, Oct 15 2012
(PARI) is(n)=isprime(13*n+3) \\ Charles R Greathouse IV, Aug 02 2018
CROSSREFS
Cf. A100202 (associated primes), A155854.
Sequence in context: A080095 A193219 A213249 * A256552 A031061 A175819
KEYWORD
nonn,easy
AUTHOR
Vincenzo Librandi, Jan 29 2009
EXTENSIONS
More terms from Vladimir Joseph Stephan Orlovsky, Jul 01 2009
STATUS
approved

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Last modified February 26 05:55 EST 2024. Contains 370335 sequences. (Running on oeis4.)