On the number of divisors of x2 + x + A |
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Authors: | George Szekeres |
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Affiliation: | Department of Mathematics, University of South Wales, Kensington, New South Wales, 2033 Australia |
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Abstract: | Let A be a positive or negative rational integer such that integers in the field of √1 ? 4A have unique prime factorization. An elementary criterion will be obtained for x2 + x + A to be a prime number, where x is a positive integer. The criterion implies that for positive A the polynomial x2 + x + A is prime for x = 0, 1,…, A ? 2. |
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