MathDB

2015 Fall Team #4

Source:

March 26, 2022

number theoryalgebra

Problem Statement

Let

P(x) = x^{16}-x^{15}+·...-x+ 1

, and let p be a prime such that

p-1

is divisible by

34

(

p = 103

is an example). How many integers a between

1

and

p-1

inclusive satisfy the property that

P(a)

is divisible by

p

?

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