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Source: Iran 3rd round 2013 - Number Theory Exam - Problem 1

September 11, 2013
modular arithmeticnumber theoryrelatively primenumber theory proposedModular inverseMultiplicative order

Problem Statement

Let pp a prime number and dd a divisor of p1p-1. Find the product of elements in Zp\mathbb Z_p with order dd. (modp\mod p). (10 points)