A note on Jeśmanowicz' conjecture concerning Pythagorean triples
1999 ◽
Vol 59
(3)
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pp. 477-480
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Let n be a positive integer, and let (a, b, c) be a primitive Pythagorean triple. In this paper we give certain conditions for the equation (an)x + (bn)y = (cn)z to have positive integer solutions (x, y, z) with (x, y, z) ≠ (2, 2, 2). In particular, we show that x, y and z must be distinct.
2016 ◽
Vol 95
(1)
◽
pp. 5-13
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1998 ◽
Vol 21
(3)
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pp. 581-586
2018 ◽
Vol 11
(04)
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pp. 1850056
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2021 ◽
Vol 27
(2)
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pp. 88-100
Keyword(s):
2011 ◽
Vol 90
(3)
◽
pp. 355-370
2013 ◽
Vol 89
(2)
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pp. 316-321
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2020 ◽
Vol 4
(2)
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pp. 103