Difference between revisions of "2022 SSMO Speed Round Problems/Problem 8"

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==Problem==
  
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How many positive integers cannot be written as <math>7a + 19b + 28c</math>, where <math>a</math>, <math>b</math>, and <math>c</math> are positive integers (not necessarily distinct)?
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==Solution==

Latest revision as of 19:14, 2 May 2025

Problem

How many positive integers cannot be written as $7a + 19b + 28c$, where $a$, $b$, and $c$ are positive integers (not necessarily distinct)?

Solution