Modular arithmetic exercise
Number Theory
Level
2
What are the last 3 digits of ?
(when it is expressed in base 10)
The answer is 999.
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1 solution
Consider 9 9 9 1 2 3 m o d 1 0 0 0 . This is equal to ( − 1 ) 1 2 3 m o d 1 0 0 0 = − 1 m o d 1 0 0 0 = 9 9 9 So the last three digits are 999.