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Integer solutions of by2 + pn = x3

✍ Scribed by Norman P. Herzberg

Publisher: Elsevier Science
Year: 1975
Tongue: English
Weight: 629 KB
Volume: 7
Category: Article
ISSN: 0022-314X
DOI: 10.1016/0022-314x(75)90018-9

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Let D 1 , D 2 be positive integers with 2 |3 D 1 D 2 and gcd(D 1 , D 2 )=1. Let p be a prime with p |3 D 1 D 2 . In this note we prove that the generalized Ramanujan Nagell equation D 1 x 2 +D 2 =4p n has at most two positive integer solutions (x, n) except (D 1 , D 2 , p)=(1, 7, 2), (3, 5, 2), (1,