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TUYMAADA 2015 S6

    Let 0≤b≤c≤d≤a0 \leq b \leq c \leq d \leq a and a>14a>14 are integers. Prove, that there is such natural nn that can not be represented as n=x(ax+b)+y(ay+c)+z(az+d)n=x(ax+b)+y(ay+c)+z(az+d) where x,y,zx,y,z are some integers.

    K. Kohas

    Dataset text AI-MO AoPS. Quoted with source.

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