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Note on the fundamental solution of 286-1286-1286-1

✍ Scribed by Julian D. Cole


Book ID
105434263
Publisher
Springer
Year
1952
Tongue
English
Weight
476 KB
Volume
3
Category
Article
ISSN
0044-2275

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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,