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Omni-MATH / Find f:Z_(+)→Z_(+), such that for any x,y∈Z_(+), f(f(x)+y)∣x+f(y).

Problem

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problem

Find

f: \mathbb{Z}_+ \rightarrow \mathbb{Z}_+

, such that for any

x,y \in \mathbb{Z}_+

f(f(x)+y)\mid x+f(y).

Plain-text mathematical notation (without MathML)

Find f:Z_(+)→Z_(+), such that for any x,y∈Z_(+), f(f(x)+y)∣x+f(y).

Original LaTeX notation

Find $f: \mathbb{Z}_+ \rightarrow \mathbb{Z}_+$, such that for any $x,y \in \mathbb{Z}_+$, $$f(f(x)+y)\mid x+f(y).$$

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Source and history

task_id: 9bb0e9b5-0279-5cb1-ad16-699c6481dbcd
task_key: test--9bb0e9b5-0279-5cb1-ad16-699c6481dbcd
task_revision_id: 4
config / split: / test

Official source

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