A055683 - OEIS

A055683

Number of Gaussian primes (in the first half-quadrant; i.e., 0 to 45 degrees) with real part < 10^n.

15, 756, 48979, 3612920, 286272005

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OFFSET

1,1

REFERENCES

Mark A. Herkommer, "Number Theory, A Programmer's Guide," McGraw-Hill, New York, 1999, page 269.

LINKS

MATHEMATICA

c=0; Do[ If[ PrimeQ[ j + k*I, GaussianIntegers -> True], c++ ], {j, 0, 10^n-1}, {k, 0, j} ]; c

CROSSREFS

KEYWORD

nonn,more

AUTHOR

EXTENSIONS

Name corrected by Sean A. Irvine, Apr 02 2022

STATUS

approved