Educational > Problems and Solutions

Challenging Problem: Computing digits of numbers with integer powers

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msu_math:
Compute the last 3 digits of the number 171172.

msu_math:
The last digit of 171172 is obviously 1. But finding the other two digits, of course, a difficult task. Since the number 171172 consists of a lot of digits, expanding it directly by using calculator/computer is almost impossible and hand calculation is so tough and lengthy. However, we must recall some theorems and formulas to solve this problem.

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