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(440) 6

Part of 1994 Tournament Of Towns

Problems(1)

TOT 440 1994 Autumn A S6 first digit of 2^n related

Source:

6/12/2024
Let cnc_n be the first digit of 2n2^n (in decimal representation). Prove that the number of different 1313-tuples <ck< c_k,......, ck+12>c_{k+12}> is equal to 5757.
(AY Belov,)
Digitsnumber theory