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CN-SMO 2007 Problem 7

    Find all triples (a,b,c)(a,b,c) satisfying the following conditions: (i) a,b,ca,b,c are prime numbers, where a<b<c<100a<b<c<100 . (ii) a+1,b+1,c+1a+1,b+1,c+1 form a geometric sequence.

    Dataset text AI-MO AoPS. Quoted with source.

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