Solutions in Non-negative Integers

What is the largest integer p p such that there is no pairs of non-negative integers ( x , y ) (x,y) satisfying p = 7 x + 11 y ? p=7x+11y?


The answer is 59.

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1 solution

Rajdeep Das
Dec 29, 2016

Relevant wiki: Postage Stamp Problem / Chicken McNugget Theorem

We can use the Chicken Mc Nugget theorem, by which the largest possible number would be 7 * 11 - 7 - 11 = 59

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