Browsing by Author "William S. Gayo Jr."
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Item Unsolvability of two diophantine equations of the form pᵃ + (p − 1)ᵇ = c²(International Journal of Mathematics and Computer Science, April 24, 2024) William S. Gayo Jr.; Siong, Venus D.In this research study, we use elementary methods in number theory to show that the Diophantine equations 11ᵃ + 10ᵇ = c² and 17ᵃ + 16ᵇ = c² are unsolvable in non-negative integers.