We'll now try to prove the following result in 2 steps: Theorem: Suppose that p is an odd prime. Let n be the least positive quadratic nonresidue modulo p. Then we must haven p. Calculate the Legendre...


We'll now try to prove the following result in 2 steps:<br>Theorem: Suppose that p is an odd prime. Let n be the least positive quadratic<br>nonresidue modulo p. Then we must haven <1+ Vp.<br>(a) Let m be the least positive number such that mn > p. Calculate the Legendre<br>symbol<br>

Extracted text: We'll now try to prove the following result in 2 steps: Theorem: Suppose that p is an odd prime. Let n be the least positive quadratic nonresidue modulo p. Then we must haven <1+ vp.="" (a)="" let="" m="" be="" the="" least="" positive="" number="" such="" that="" mn=""> p. Calculate the Legendre symbol

Jun 03, 2022
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