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## Try the problem

This problem of primes and polynomials is from B.Stat, B.Math Entrance.

Let x and n be positive integers such that $ 1 + x + x^2 + … + x^{n-1} $ is a prime number. Then show that n is a prime number.

Content

[hide]

This problem of primes and polynomials is from B.Stat, B.Math Entrance.

Let x and n be positive integers such that $ 1 + x + x^2 + … + x^{n-1} $ is a prime number. Then show that n is a prime number.