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Omni-MATH / Find the smallest positive integer n such that 1²+2²+3²+4²+⋯+n² is divisible by 100.

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

Find the smallest positive integer nn such that 12+22+32+42+⋯+n21^{2}+2^{2}+3^{2}+4^{2}+\cdots+n^{2} is divisible by 100.
Plain-text mathematical notation (without MathML)
Find the smallest positive integer n such that 1²+2²+3²+4²+⋯+n² is divisible by 100.
Original LaTeX notation
Find the smallest positive integer $n$ such that $1^{2}+2^{2}+3^{2}+4^{2}+\cdots+n^{2}$ is divisible by 100.

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Source and history

task_id
33ed4e43-1f75-5b38-a3ee-f147764789d7
task_key
test--33ed4e43-1f75-5b38-a3ee-f147764789d7
task_revision_id
1
config / split
/ test

Official source

initial import