On D. J. Lewis's Equation x 3+117y 3 = 5
Canadian mathematical bulletin, Tome 14 (1971) no. 1, p. 111
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In a recent publication [2], D. J. Lewis stated that the Diophantine equation x 3+117y 3 = 5 has at most 18 integer solutions, but the exact number is unknown. In this paper we shall solve this problem by proving the followingTheorem. The equationx 3+117y 3 = 5 has no integer solutions.
Finkelstein, R.; London, H. On D. J. Lewis's Equation x 3+117y 3 = 5. Canadian mathematical bulletin, Tome 14 (1971) no. 1, p. 111. doi: 10.4153/CMB-1971-020-x
@article{10_4153_CMB_1971_020_x,
author = {Finkelstein, R. and London, H.},
title = {On {D.} {J.} {Lewis's} {Equation} x 3+117y 3 = 5},
journal = {Canadian mathematical bulletin},
pages = {111--111},
year = {1971},
volume = {14},
number = {1},
doi = {10.4153/CMB-1971-020-x},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1971-020-x/}
}
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