If x, y, and z are relatively prime integers such that
x^2 +y^2 −λy = z^2, λ = 2β, and x < y, then x and z are
odd, y is even when β is even and n is odd.
2. If x, y, and z are relatively prime integers such that
x^2 + y^2 − λy = z^2, λ = 2β, and x < y, then x is even
and y and z are odd when β is even and n is zero and
even.
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Proposition 2.3. 1. If x, y, and z are relatively prime integers such that x² + y² - λy=z², λ = 2ß, and x < y, then x and z are odd, y is even when ß is even and n is odd. 2. If x, y, and z are relatively prime integers such that x² + y² − λy = z², λ = 2ß, and x < y, then x is even and y and z are odd when ß is even and n is zero and even.