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OME 1993 Problem 2

    In the arithmetic triangle below each number (apart from those in the first row) is the sum of the two numbers immediately above. 01234...1991199219930 1 2 3 4 ... 1991 1992 1993  1357......   39833985\, 1 3 5 7 ......\,\,\, 3983 3985   4812..........  7968\,\, 4 8 12 .......... \,\, 7968 ······································· Prove that the bottom number is a multiple of 19931993 .

    Dataset text AI-MO AoPS. Quoted with source.

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