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Omni-MATH / A positive integer n is inverosimil if there exists n integers not necessarily distinct such that the sum and the product of this integers are equal to n. How many positive integer…

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problem

A positive integer nn is inverosimilinverosimil if there exists nn integers not necessarily distinct such that the sum and the product of this integers are equal to nn. How many positive integers less than or equal to 20222022 are inverosimilsinverosimils?
Plain-text mathematical notation (without MathML)
A positive integer n is inverosimil if there exists n integers not necessarily distinct such that the sum and the product of this integers are equal to n. How many positive integers less than or equal to 2022 are inverosimils?
Original LaTeX notation
A positive integer $n$ is $inverosimil$ if there exists $n$ integers not necessarily distinct such that the sum and the product of this integers are equal to $n$. How many positive integers less than or equal to $2022$ are $inverosimils$?

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Source and history

task_id
27c3a972-1c6e-59e3-aa0e-274068ceec6d
task_key
test--27c3a972-1c6e-59e3-aa0e-274068ceec6d
task_revision_id
1
config / split
/ test

Official source

initial import