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TR-MO-R1 2021 Problem 20

    Başlangıçta bir tahtada 29 sayısı yazılıdır. Her işlemde tahtada yazılı aa sayısı silinip yerine 17a+117a+1 ya da a−7a-7 sayılarından biri yazılıyor. Sonlu sayıda işlem sonucunda tahtada yazılı olamayacak en küçük beş basamaklı pozitif tam sayı kaçtır?

    a) 10002 b) 10003 c)10004 d) 10005 e) 10006

    Official text Turkish Mathematical Olympiad, first round 2021 official paper, page 10. Quoted with source.

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