olymmath

KöMaL 2011 K315

    Let ↓n↓\downarrow n \downarrow denote the greatest prime number smaller than nn, and let ↑n↑\uparrow n \uparrow denote the smallest prime greater than nn. Calculate the value of the expression 41+↓35↓−↑53↑+↑↓40↓↑41+ \downarrow 35 \downarrow - \uparrow 53 \uparrow + \big\uparrow \downarrow 40 \downarrow \big\uparrow.

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