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2025 SSMO Team Round Problems/Problem 1

Revision as of 11:30, 9 September 2025 by Pinkpig (talk | contribs) (Created page with "==Problem== There are <math>N</math> solutions <math>(a,b,c)</math> to <math>a + b^2 + c = 2025,</math> where <math>a</math> and <math>b</math> are positive integers and <mat...")
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Problem

There are $N$ solutions $(a,b,c)$ to $a + b^2 + c = 2025,$ where $a$ and $b$ are positive integers and $c$ is a nonnegative integer. Find the number of positive factors of $N$.

Solution

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