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For how many integers $a$ satisfying $1 \le a \le 23$ is it true that $a^{-1} \equiv a \pmod{24}$?

 Dec 24, 2020
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1  -  The mmi =  1 [mmi - stands for "Modular Multiplicative Inverse" ]
5  -  The mmi =  5
7  -  The mmi =  7
11  -  The mmi =  11
13  -  The mmi =  13
17  -  The mmi =  17
19  -  The mmi =  19
23  -  The mmi =  23

Count them and you get a == 8

 Dec 24, 2020

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