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Omni-MATH / For how many positive integers n, with n≤100, is n³+5n² the square of an integer?

Problem

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problem

For how many positive integers nn, with n≤100n \leq 100, is n3+5n2n^{3}+5n^{2} the square of an integer?
Plain-text mathematical notation (without MathML)
For how many positive integers n, with n≤100, is n³+5n² the square of an integer?
Original LaTeX notation
For how many positive integers $n$, with $n \leq 100$, is $n^{3}+5n^{2}$ the square of an integer?

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Source and history

task_id
32f4a8ee-89ff-5937-83e3-a5f05204ed94
task_key
test--32f4a8ee-89ff-5937-83e3-a5f05204ed94
task_revision_id
1
config / split
/ test

Official source

initial import