|
|
A107136
|
|
Primes of the form 3x^2 + 10y^2.
|
|
1
|
|
|
3, 13, 37, 43, 67, 157, 163, 277, 283, 307, 373, 397, 523, 547, 613, 643, 733, 757, 787, 853, 877, 883, 907, 997, 1093, 1117, 1123, 1213, 1237, 1453, 1483, 1597, 1627, 1693, 1723, 1747, 1867, 1933, 1987, 2053, 2083, 2203, 2293, 2347, 2437, 2467
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
Discriminant = -120. See A107132 for more information.
|
|
LINKS
|
|
|
FORMULA
|
The primes are congruent to {3, 13, 37, 43, 67} (mod 120). - T. D. Noe, May 02 2008
|
|
MATHEMATICA
|
QuadPrimes2[3, 0, 10, 10000] (* see A106856 *)
|
|
PROG
|
(Magma) [ p: p in PrimesUpTo(3000) | p mod 120 in {3, 13, 37, 43, 67} ]; // Vincenzo Librandi, Jul 23 2012
(PARI) list(lim)=my(v=List([3]), s=[13, 37, 43, 67]); forprime(p=13, lim, if(setsearch(s, p%120), listput(v, p))); Vec(v) \\ Charles R Greathouse IV, Feb 09 2017
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|