MathDB

11.7

Part of 2005 All-Russian Olympiad Regional Round

Problems(1)

Huge perfect squares and 17-th dgits

Source: All-Russian MO Round 4

4/2/2005
11.7 Let NN be a number of perfect squares from {1,2,...,1020}\{1,2,...,10^{20}\}, which 17-th digit from the end is 7, and MM be a number of perfect squares from {1,2,...,1020}\{1,2,...,10^{20}\}, which 17-th digit from the end is 8. Compare MM and NN. (A. Golovanov)
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