I have an abstract algebra problem which I am unable to solve.
The problem is, if $x^{22}\equiv2 \bmod 23$, then $x$ has how many solutions?
Source: TIFR Graduate School Admissions Entrance Test Maths 2011 [TIFR GS-2011, Q7]
Please explain me.
2026-03-30 03:53:34.1774842814
Solving an equation $x^{22}\equiv2 \bmod 23$
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