Submitted:
03 December 2025
Posted:
05 December 2025
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Abstract
In this paper, we study the properties of co-prime positive integers $a,b,c$ such that $a+b=c$ in relation to their radicals. We establish an explicit upper bound for $c$ in relation to $rad(abc)$.
Keywords:
radical of an integer
; abc conjecture
; Diophantine equations
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