

A030431


Primes of form 10n+3.


28



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
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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


LINKS

Michael B. Porter, Table of n, a(n) for n = 0..100000
A. Granville and G. Martin, Prime number races


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

Cf. A045414, A049508, A102338.
Sequence in context: A121756 A178825 A147473 * A090146 A133313 A230026
Adjacent sequences: A030428 A030429 A030430 * A030432 A030433 A030434


KEYWORD

nonn


AUTHOR

Warut Roonguthai


EXTENSIONS

Extended by Ray Chandler, Nov 07 2006


STATUS

approved



