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A057352
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Number of Gaussian primes (in the first half-quadrant; i.e., 0 to 45 degrees) with real part <= n.
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2
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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
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OFFSET
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1,2
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REFERENCES
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Mark A. Herkommer, "Number Theory, A Programmer's Guide," McGraw-Hill, New York, 1999, page 269.
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LINKS
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MATHEMATICA
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c = 0; Do[ Do[ If[ PrimeQ[ j + k*I, GaussianIntegers -> True ], c++ ], {j, n, n}, {k, 0, j} ]; Print[ c ], {n, 1, 50} ]
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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