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Omni-MATH / Let f be a polynomial with integer coefficients such that the greatest common divisor of all its coefficients is 1. For any n∈N,f(n) is a multiple of 85. Find the smallest possible…

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problem

Let ff be a polynomial with integer coefficients such that the greatest common divisor of all its coefficients is 1. For any n∈N,f(n)n \in \mathbb{N}, f(n) is a multiple of 85. Find the smallest possible degree of ff.
Plain-text mathematical notation (without MathML)
Let f be a polynomial with integer coefficients such that the greatest common divisor of all its coefficients is 1. For any n∈N,f(n) is a multiple of 85. Find the smallest possible degree of f.
Original LaTeX notation
Let $f$ be a polynomial with integer coefficients such that the greatest common divisor of all its coefficients is 1. For any $n \in \mathbb{N}, f(n)$ is a multiple of 85. Find the smallest possible degree of $f$.

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Source and history

task_id
a949cf42-e957-5b5e-8646-8fe9bf0f0d6c
task_key
test--a949cf42-e957-5b5e-8646-8fe9bf0f0d6c
task_revision_id
1
config / split
/ test

Official source

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