Which integers xxx satisfy x2≡1(mod24)x^2 \equiv 1 \pmod{24}x2≡1(mod24)?
x≡1,5,7,11(mod12)x \equiv 1, 5, 7, 11 \pmod{12}x≡1,5,7,11(mod12)
x≡1,5,7,11,13,17,19,23(mod24)x \equiv 1, 5, 7, 11, 13, 17, 19, 23 \pmod{24}x≡1,5,7,11,13,17,19,23(mod24)
x≡1,23(mod24)x \equiv 1, 23 \pmod{24}x≡1,23(mod24)
x≡1,7,13,19(mod24)x \equiv 1, 7, 13, 19 \pmod{24}x≡1,7,13,19(mod24)