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20 December

A number is called a perfect power if it is equal to nk for some integer n and some integer k > 1. 2025 is a perfect power (452) and 23 more than 2025 is also a perfect power (211).
What is the only three-digit perfect power that is 29 less than another perfect power?

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14 December

153 is 3375. The last 3 digits of 153 are 375.
What are the last 3 digits of 151234567890?

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