Difference between revisions of "2018 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 2"

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== Solution==
 
== Solution==
  
<math>\frac{8}{3}</math>
+
<math>\{ 1,25,49,73,97 \}</math>
  
 
== See also ==
 
== See also ==

Revision as of 05:21, 19 January 2019

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
1 2 3 4 5 6 7 8 9 10
All UNM-PNM Problems and Solutions