# 2013-08 Minimum of a set involving polynomials with integer coefficients

Let $$p$$ be a prime number. Let $$S_p$$ be the set of all positive integers $$n$$ satisfying
$x^n – 1 = (x^p – x + 1) f(x) + p g(x)$
for some polynomials $$f$$ and $$g$$ with integer coefficients. Find all $$p$$ for which $$p^p -1$$ is the minimum of $$S_p$$.

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2013-08 Minimum of a set involving polynomials with integer coefficients, 4.9 out of 5 based on 10 ratings

## 2 thoughts on “2013-08 Minimum of a set involving polynomials with integer coefficients”

1. Ji Oon Lee Post author

제출된 풀이도 있고 우수한 답안도 있는데 제가 이번 주에 바쁜 일정 탓에 글을 올리지 못했습니다. 아마도 다음 주 월요일에는 풀이를 확인하실 수 있을 겁니다.

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