Problem on theory of numbers


Assignment:

Let p be an odd prime. Complete the proof of the question “For which odd primes p is LS(2, p) = 1?” by showing that (2/p) = -1  if p ≡ 5(mod 8) and that  (2/p) if p ≡ 7(mod 8).

Provide complete and step by step solution for the question and show calculations and use formulas.

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Algebra: Problem on theory of numbers
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