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Problem 63


Problem 63


Powerful digit counts

The 5-digit number, 16807=75, is also a fifth power. Similarly, the 9-digit number,
134217728=89, is a ninth power.

How many n-digit positive integers exist which are also an nth power?


幂次与位数

五位数16807=75同时也是一个五次幂。同样的,九位数134217728=89同时也是九次幂。

有多少个n位正整数同时也是n次幂?