Number TheoryChallengeOrders and Primitive Roots ShareOrders and Primitive Roots · Challenge problemHow many xxx with 1≤x≤1001 \le x \le 1001≤x≤100 satisfy x20≡1(mod101)x^{20} \equiv 1 \pmod{101}x20≡1(mod101) but x10≢1(mod101)x^{10} \not\equiv 1 \pmod{101}x10≡1(mod101)?Check Show answer Walk through it step by step Practice more like this Review this concept