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Omni-MATH / For positive integers n, let c_(n) be the smallest positive integer for which n^(c_(n))−1 is divisible by 210, if such a positive integer exists, and c_(n)=0 otherwise. What is …

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problem

For positive integers nn, let cnc_{n} be the smallest positive integer for which ncn−1n^{c_{n}}-1 is divisible by 210, if such a positive integer exists, and cn=0c_{n}=0 otherwise. What is c1+c2+⋯+c210c_{1}+c_{2}+\cdots+c_{210}?
Plain-text mathematical notation (without MathML)
For positive integers n, let c_(n) be the smallest positive integer for which n^(c_(n))−1 is divisible by 210, if such a positive integer exists, and c_(n)=0 otherwise. What is c₁+c₂+⋯+c₂₁₀?
Original LaTeX notation
For positive integers $n$, let $c_{n}$ be the smallest positive integer for which $n^{c_{n}}-1$ is divisible by 210, if such a positive integer exists, and $c_{n}=0$ otherwise. What is $c_{1}+c_{2}+\cdots+c_{210}$?

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Source and history

task_id
77251c3a-b197-565d-9a2b-44a24f416705
task_key
test--77251c3a-b197-565d-9a2b-44a24f416705
task_revision_id
1
config / split
/ test

Official source

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