|
|
A139872
|
|
Primes of the form 11x^2 + 15y^2.
|
|
1
|
|
|
11, 59, 71, 179, 191, 251, 311, 419, 599, 719, 839, 911, 971, 1259, 1439, 1499, 1511, 1571, 1871, 2039, 2099, 2399, 2531, 2579, 2699, 2711, 2819, 3191, 3359, 3371, 3491, 3719, 3851, 4019, 4079, 4139, 4211, 4271, 4679, 4691, 4799, 4871, 4931
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
Discriminant = -660. See A139827 for more information.
|
|
LINKS
|
|
|
FORMULA
|
The primes are congruent to {11, 59, 71, 119, 179, 191, 251, 311, 419, 551, 599} (mod 660).
|
|
MATHEMATICA
|
QuadPrimes2[11, 0, 15, 10000] (* see A106856 *)
|
|
PROG
|
(Magma) [ p: p in PrimesUpTo(6000) | p mod 660 in {11, 59, 71, 119, 179, 191, 251, 311, 419, 551, 599}]; // Vincenzo Librandi, Jul 30 2012
(PARI) list(lim)=my(v=List(), w, t); for(x=1, sqrtint(lim\11), w=11*x^2; for(y=0, sqrtint((lim-w)\15), if(isprime(t=w+15*y^2), listput(v, t)))); Set(v) \\ Charles R Greathouse IV, Mar 07 2017
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|