Maths Olympiad Prep

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Number theory Difficulty 5.8 AIME, harder Prove it

24. Let pp be an odd prime. Show that there are (p1)/2ϕ(p1)(p-1) / 2-\phi(p-1) quadratic nonresidues of pp that are not primitive roots of pp.

Solution

None

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Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic and difficulty added by this site.