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Staggering Digits (Posted on 2016-07-28) Difficulty: 3 of 5
Find the last three digits of this number:

97532

*** For an extra challenge, solve this puzzle without using a computer program.

No Solution Yet Submitted by K Sengupta    
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re(2): Solution Comment 4 of 4 |
(In reply to re: Solution by Charlie)

Thanks, I didn' know that notation. 


I've seen on the web that 7^5 have the same three last as (7^5)^5  and in general 7^(5^n). Last digits are in 807. 

So we have 9^something finishing in 807

This will be 9^(a number of hundreds) * 9^7

The first factor ends in 001 (my firs post) the second in 969. 

So it's 969. 

Edited on July 28, 2016, 4:32 pm
  Posted by armando on 2016-07-28 16:29:15

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