; Suryanarayan, E.
For such a triple, either a or b is even, and the other is odd; from this, it follows that c is also odd.
Such triples are necessarily primitive and have the form 2 n + 1, 2 n 2 + 2 n, 2 n 2 + 2 n +1.
For example, the integers 6, 10, 14, and 18 are not part of primitive triples, but are part of the non-primitive triples 6, 8, 10 , 14, 48, 50 and 18, 80, 82.
Albert Fässler and others provide insights into the significance of these parabolas in the context of conformal mappings.
For example, if m and n are consecutive , a and b will differ by 1.