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Mathematics of Computation

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On the Gaussian primes on the line $ {\rm Im}(X)=1$

Author: M. C. Wunderlich
Journal: Math. Comp. 27 (1973), 399-400
MSC: Primary 65A05; Secondary 10A25
MathSciNet review: 0326973
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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)$.

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Article copyright: © Copyright 1973 American Mathematical Society