Tessellate S.T.E.M.S - Mathematics - School - Set 2 - Problem 1

What is the greatest integer that can not be written in the form 50 x + 51 y 50x+51y with nonnegative integers x x and y y ?


This problem is a part of Tessellate S.T.E.M.S.

2509 2451 No such integer exists 2501 2449

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1 solution

Patrick Corn
Jan 2, 2018

The answer is 50 51 50 51 = 2449 50 \cdot 51 - 50 - 51 = \fbox{2449} ; see the Frobenius number wiki for a proof.

Spotted on the exact theorem!!

Ritabrata Roy - 2 years, 8 months ago

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