1. ??????? when p is prime [[p-1],[n]]=(-1)n, 1

Question

1. ???????  when p is prime [[p-1],[n]]=(-1)n, 1<=n<=p-1. prove please.     2. Find the solution of the following system of congruences.  (1) x ? 2 (mod 9)     x ? 11 (mod 15)  (2) x ? 2 (mod 9)     x ? 11 (mod 15)     x ? 16 (mod 25)     3. Find the solution of the following quadratic congruence  (1) x2 + 7x + 10  ?  0   (mod  15)  (2) x2 + 10x + 21  ?  0   (mod  17  23)  (3) x2  + 5x  ?  0   (mod  6)  (4) x2  + 7x  ?  0   (mod  8)  (p?1n?)?(?1)n(modp),1?n?p?1

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Expert Answer to - 1.   when p is prime [[p-1],[n]]=(-1)n, 1<=n<=p-1. prove please.     2. F

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Solution for - 1.   when p is prime [[p-1],[n]]=(-1)n, 1<=n<=p-1. prove please.     2. F

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This an additional answer to - 1.   when p is prime [[p-1],[n]]=(-1)n, 1<=n<=p-1. prove please.     2. F

(Solved): 1. when p is prime [[p-1],[n]]=(-1)n, 1<=n<=p-1. prove please. 2. F ...

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