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A method of finding an integral solution to x3 + y3 = kz4 by Zahari, N. M., Sapar, Siti Hasana, Mohd Atan, Kamel Ariffin

“…In this article, we proved that an integral solution (a, b, c) to the equation x3+y3 = kz4 is of the form a = rs, b = rt for any two integers s, t and c =  (r3u/d3)1/4 for some u with (k,r) = d where k divides a3 + b3 and r is a common factor of a and b.…”
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