If-positive-integer-x-y-gt-1-gcd-x-y-1-Positive-integer-n-satisfies-that-there-is-nononnegative-integer-a-and-b-makes-n-ax-by-If-true-what-is-the-maximum-n-

Question Number 212890 by MrGaster last updated on 26/Oct/24

$$\mathrm{If}\:\mathrm{positive}\:\mathrm{integer}\:{x}+,{y}>\mathrm{1},{gcd}\left({x},{y}\right)=\mathrm{1}, \\ $$$$\mathrm{Positive}\:\mathrm{integer}\:\mathrm{n}\:\mathrm{satisfies}\:\mathrm{that}\:\mathrm{there}\:\mathrm{is}\: \\ $$$$\mathrm{nononnegative}\:\mathrm{integer}\:\mathrm{a}\:\mathrm{and}\:\mathrm{b}\:\mathrm{makes}\:\mathrm{n}={ax}+{by}\: \\ $$$$\mathrm{If}\:\mathrm{true}\:\mathrm{what}\:\mathrm{is}\:\mathrm{the}\:\mathrm{maximum}\:\mathrm{n} \\ $$

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