On numbers of the form
Author:
Daniel Shanks
Journal:
Math. Comp. 15 (1961), 186-189
MSC:
Primary 10.00
DOI:
https://doi.org/10.1090/S0025-5718-1961-0120184-6
Corrigendum:
Math. Comp. 16 (1962), 513-513.
MathSciNet review:
0120184
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References | Similar Articles | Additional Information
- [1] Daniel Shanks, On the conjecture of Hardy & Littlewood concerning the number of primes of the form 𝑛²+𝑎, Math. Comp. 14 (1960), 320–332. MR 120203, https://doi.org/10.1090/S0025-5718-1960-0120203-6
- [2] Daniel Shanks, A note on Gaussian twin primes, Math. Comput. 14 (1960), 201–203. MR 0111724, https://doi.org/10.1090/S0025-5718-1960-0111724-0
- [3] A. Gloden, A note on factors of 𝑛⁴+1, Math. Comp. 14 (1960), 278–279. MR 121332, https://doi.org/10.1090/S0025-5718-1960-0121332-3
- [4]
L. E. Dickson, History of the Theory of Numbers, Stechert, New York, 1934, v. 1, p. 381. According to Dickson, Euler (1752) gave
, which is correct, and
, which is incorrect--he omits the prime
.
- [5] Daniel Shanks, A sieve method for factoring numbers of the form 𝑛²+1, Math. Tables Aids Comput. 13 (1959), 78–86. MR 105784, https://doi.org/10.1090/S0025-5718-1959-0105784-2
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Additional Information
DOI:
https://doi.org/10.1090/S0025-5718-1961-0120184-6
Article copyright:
© Copyright 1961
American Mathematical Society