Maths Olympiad Prep

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Number theory Difficulty 5.8 AIME, harder Prove it

8. Show that if nn is a positive integer, then there are exactly ϕ(λ(n))\phi(\lambda(n)) incongruent integers with maximal order modulo nn.

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.