olymmath

AIME 2014b Problem 7

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Let f(x)=(x2+3x+2)cos⁡(πx)f(x)=(x^2+3x+2)^{\cos(\pi x)}. Find the sum of all positive integers nn for which ∣∑k=1nlog⁡10f(k)∣=1.\left |\sum_{k=1}^n\log_{10}f(k)\right|=1.

Dataset text AIME 1983 to 2026. Quoted with source.

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