Digits of 2^1000 and 5^1000 Written Side by Side

Combinatorics · Easy · Free problem

Write

^{1000}$ and $5^{1000}$ next to each other in decimal -- just concatenate their decimal representations. How many digits does the resulting number have? For example, if you concatenated ^3 = 8$ and $5^3 = 125$, you would get the number $8125$, which has 4 digits.

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