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2021 JMPSC Invitationals Problems/Problem 11

Revision as of 14:07, 11 July 2021 by Samrocksnature (talk | contribs) (Created page with "==Problem== For some <math>n</math>, the arithmetic progression <cmath>4,9,14,\ldots,n</cmath> has exactly <math>36</math> perfect squares. Find the maximum possible value of...")
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Problem

For some $n$, the arithmetic progression \[4,9,14,\ldots,n\] has exactly $36$ perfect squares. Find the maximum possible value of $n.$

Solution

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