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N and N^5 (Posted on 2023-09-19)

Determine as many positive integers, N, not ending in 0, as you can, such that N^5 contains two copies of N.

See The Solution Submitted by K Sengupta

Rating: 5.0000 (1 votes)

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Answer

Comment 2 of 2 |

9^5=59049

99^5=9509900499

999^5=995009990004999

9999^5=99950009999000049999

99999^5=9999500009999900000499999

...

Therefore, the answers are 9, 99, 999, 9999, 99999, ...

Posted by Math Man on 2023-09-24 13:33:51

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