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2019 AMC 10AProblem 9P1-10~3 minPrint
Divisibility & FactorsPrimesApply an identity: SFFT, sum of squares, difference of cubes, VietaUse the answer choices (mod checks, size, form) to eliminate or select

What is the greatest three-digit positive integer nn for which the sum of the first nn positive integers is not‾\underline{\text{not}} a divisor of the product of the first nn positive integers?

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.