Question

What is the value of legendre symbol -461/383 is

Answer 1

Answer:

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Step-by-step explanation:

Rules To Find Legendre Symbol

(2m/n) = (m/n) if n = ±1 mod 8. Otherwise (2m/n) = -(m/n). (Quadratic reciprocity) If m and n are both odd, then (m/n) = (n/m) unless both m and n are congruent to 3 mod 4, in which case (m/n) = -(n/m).

In number theory, the Legendre symbol is a multiplicative function with values 1, −1, 0 that is a quadratic character modulo an odd prime number p: its value at a (nonzero) quadratic residue mod p is 1 and at a non-quadratic residue (non-residue) is −1. Its value at zero is 0.