|
Search: id:A033215
|
|
|
| A033215 |
|
Primes of form x^2+21*y^2. |
|
+0
27
|
|
| 37, 109, 193, 277, 337, 373, 421, 457, 541, 613, 673, 709, 757, 877, 1009, 1033, 1093, 1117, 1129, 1201, 1213, 1297, 1381, 1429, 1453, 1549, 1597, 1621, 1789, 1801, 1873, 1933, 2017, 2053, 2137, 2221
(list; graph; listen)
|
|
|
OFFSET
|
1,1
|
|
|
REFERENCES
|
D. Cox, "Primes of Form x^2 + n y^2", Wiley, 1989.
|
|
FORMULA
|
The primes are congruent to {1, 25, 37} (mod 84). - T. D. Noe (noe(AT)sspectra.com), Apr 29 2008
|
|
MATHEMATICA
|
f[x_, y_]:=x^2+21*y^2; lst={}; Do[Do[p=f[x, y]; If[PrimeQ[p], AppendTo[lst, p]], {y, 5!}], {x, 5!}]; Take[Union[lst], 5! ] [From Vladimir Orlovsky (4vladimir(AT)gmail.com), Jul 06 2009]
QuadPrimes[1, 0, 21, 10000] (* see A106856 *)
|
|
CROSSREFS
|
Cf. A139643.
Sequence in context: A005107 A139934 A142051 this_sequence A031419 A118536 A003164
Adjacent sequences: A033212 A033213 A033214 this_sequence A033216 A033217 A033218
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
N. J. A. Sloane (njas(AT)research.att.com).
|
|
|
Search completed in 0.002 seconds
|
