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A030431 Primes of form 10n+3. 45
3, 13, 23, 43, 53, 73, 83, 103, 113, 163, 173, 193, 223, 233, 263, 283, 293, 313, 353, 373, 383, 433, 443, 463, 503, 523, 563, 593, 613, 643, 653, 673, 683, 733, 743, 773, 823, 853, 863, 883, 953, 983, 1013, 1033, 1063, 1093, 1103, 1123, 1153, 1163, 1193 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Also primes of form 5n+3.
Union of A132233, A132235, {3}. - Ray Chandler, Apr 07 2009
Primes p such that arithmetic mean of divisors of p^4 is an integer. There are 2 such sequences of primes, this one and A030430. - Ctibor O. Zizka, Oct 20 2009
5 is not quadratic residue of primes of this form. - Vincenzo Librandi, Jun 25 2014
Intersection of A000040 and A017305. - Iain Fox, Dec 30 2017
LINKS
A. Granville and G. Martin, Prime number races, arXiv:math/0408319 [math.NT], 2004.
FORMULA
a(n) = 10*A102338(n) + 3.
MATHEMATICA
Select[Prime@Range[200], Mod[ #, 10] == 3 &] (* Ray Chandler, Nov 07 2006 *)
Select[10 Range[0, 150] + 3, PrimeQ] (* Harvey P. Dale, Apr 06 2011 *)
PROG
(PARI) select(n->n%10==3, primes(500)) \\ Charles R Greathouse IV, Apr 29 2015
CROSSREFS
Sequence in context: A121756 A178825 A147473 * A090146 A348559 A133313
KEYWORD
nonn
AUTHOR
EXTENSIONS
Extended by Ray Chandler, Nov 07 2006
STATUS
approved

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Last modified April 16 22:03 EDT 2024. Contains 371755 sequences. (Running on oeis4.)