2018 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 2

Revision as of 05:21, 19 January 2019 by Timneh (talk | contribs) (Solution)

Problem

Determine all positive integers $a$ such that $a < 100$ and $a^3 + 23$ is divisible by $24$.

Solution

$\{ 1,25,49,73,97 \}$

See also

2018 UNM-PNM Contest II (ProblemsAnswer KeyResources)
Preceded by
Problem 1
Followed by
Problem 3
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All UNM-PNM Problems and Solutions