Question: Please two solutions for these two question step by step, the related material is Number Theory. I will give it a like if the answer

Please two solutions for these two question step by step, the related material is Number Theory. I will give it a like if the answer is understandable and correct. Thank you!!!

Show that if god(a, b) = 1 then a$(6) + bo(@) = 1 mod ab. Prove that if p is a prime congruent 1 mod 4 then Er = P(p - 1) 4where the summation is over all quadratic residues 7' with 1 g r g p 1.(Hint: Start from pairing '1" with p r.)

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