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5 last digits of 5^{2010} (HOMC 2010 J Q3)

Source:

July 25, 2019
number theorylastDigits

Problem Statement

Find 55 last digits of the number M=52010M = 5^{2010} .
(A): 6562565625, (B): 4562545625, (C): 2562525625, (D): 1562515625, (E) None of the above.