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On Terai's conjecture concerning Pythagorean numbers

Published online by Cambridge University Press:  17 April 2009

Maohu A. Le
Maohu A. Le
Affiliation:
Department of Mathematics, Zhanjiang Normal College, Postal Code 524048, Zhanjiang, Guangdong, People's Republic of China
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Abstract

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In this paper we prove that if a, b, c, r are fixed positive integers satisfying a2 + b2 = cr, gcd(a, b) = 1, a ≡ 3(mod 8), 2 | b, r > 1, 2 ∤ r, and c is a (x,y,z) = (2, 2,r) satisfying x > 1, y > 1 and z > 1.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 61 , Issue 2 , April 2000 , pp. 329 - 334
Copyright
Copyright © Australian Mathematical Society 2000

References

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