uestion 6. Let p be an odd prime. • Prove the following formula for the Legendre symbol (-3/p): 3 1 if p =1 mod 6 - { р

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uestion 6. Let p be an odd prime. • Prove the following formula for the Legendre symbol (-3/p): 3 1 if p =1 mod 6 - { р - 1 if p = 5 mod 6 • Consider the integer n2 – n +1 for n > 3. Show that every prime divisor of this number that is larger than 3 must be of the form 6k + 1.