|
Search: id:A057352
|
|
|
| A057352 |
|
Number of Gaussian primes (in the first half quadrant; i.e. 0 to 45 degrees) with real part <= n. |
|
+0
2
|
|
| 1, 2, 4, 5, 7, 9, 11, 14, 15, 19, 22, 23, 27, 30, 33, 36, 40, 43, 48, 54, 56, 60, 66, 69, 76, 82, 86, 90, 94, 98, 106, 112, 117, 123, 131, 136, 142, 149, 152, 161, 166, 171, 180, 188, 195, 204, 211, 218, 228, 236
(list; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
REFERENCES
|
Mark A. Herkommer, "Number Theory, A Programmer's Guide," McGraw-Hill, New York, 1999, page 269.
|
|
LINKS
|
T. D. Noe, Table of n, a(n) for n=1..10000
Index entries for Gaussian integers and primes
|
|
MATHEMATICA
|
c = 0; Do[ Do[ If[ PrimeQ[ j + k*I, GaussianIntegers -> True ], c++ ], {j, n, n}, {k, 0, j} ]; Print[ c ], {n, 1, 50} ]
|
|
CROSSREFS
|
Cf. A055683.
Sequence in context: A112671 A056838 A045922 this_sequence A156625 A058577 A071917
Adjacent sequences: A057349 A057350 A057351 this_sequence A057353 A057354 A057355
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Robert G. Wilson v (rgwv(AT)rgwv.com), Sep 22 2000
|
|
|
Search completed in 0.002 seconds
|
