|
Search: id:A107145
|
|
|
| A107145 |
|
Primes of the form x^2+40y^2. |
|
+0
29
|
|
| 41, 89, 241, 281, 401, 409, 449, 521, 569, 601, 641, 761, 769, 809, 881, 929, 1009, 1049, 1129, 1201, 1249, 1289, 1321, 1361, 1409, 1481, 1489, 1601, 1609, 1721, 1801, 1889, 2081, 2089, 2129, 2161, 2281, 2441, 2521, 2609, 2689, 2729, 2801
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
Discriminant=-160. See A107132 for more information.
|
|
FORMULA
|
The primes are congruent to {1, 9} (mod 40). - T. D. Noe (noe(AT)sspectra.com), Apr 29 2008
|
|
MATHEMATICA
|
f[x_, y_]:=x^2+40*y^2; lst={}; Do[Do[p=f[x, y]; If[PrimeQ[p]&&p>0, AppendTo[lst, p]], {y, -4!, 3*4!}], {x, -4!, 3*4!}]; Take[Union[lst], 90] [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Jun 30 2009]
QuadPrimes[1, 0, 40, 10000] (* see A106856 *)
|
|
CROSSREFS
|
Cf. A139643.
Adjacent sequences: A107142 A107143 A107144 this_sequence A107146 A107147 A107148
Sequence in context: A142411 A139924 A155572 this_sequence A087857 A139995 A044179
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
T. D. Noe (noe(AT)sspectra.com), May 13 2005
|
|
|
Search completed in 0.002 seconds
|
