On the Gaussian primes on the line $\textrm {Im}(X)=1$
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- by M. C. Wunderlich PDF
- Math. Comp. 27 (1973), 399-400 Request permission
Abstract:
This paper contains a summary table of the author’s computation of the Gaussian primes of the form $a + i$. For the values $x = 1000, 10000, 100000, 180000$, and 500000 (500000) 14000000, the following values are tabulated: $G(x)$, the numbers of Gaussisn primes $a + i$ with $a \leqq 14000000;{\pi _1}(x)$, the number of primes $\leqq x$ congruent to $1 mod 4$; ${\pi _3}(x)$, the number of primes $\leqq x$ congruent to $3 mod 4$; and $G(x)/{\pi _3}(x)$.References
- G. H. Hardy and J. E. Littlewood, Some problems of ‘Partitio numerorum’; III: On the expression of a number as a sum of primes, Acta Math. 44 (1923), no. 1, 1–70. MR 1555183, DOI 10.1007/BF02403921
- Daniel Shanks, A sieve method for factoring numbers of the form $n^{2}+1$, Math. Tables Aids Comput. 13 (1959), 78–86. MR 105784, DOI 10.1090/S0025-5718-1959-0105784-2
Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Math. Comp. 27 (1973), 399-400
- MSC: Primary 65A05; Secondary 10A25
- DOI: https://doi.org/10.1090/S0025-5718-1973-0326973-5
- MathSciNet review: 0326973