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Evil powers (Posted on 2006-08-31) Difficulty: 4 of 5
Is there a power of 666 such that its decimal notation starts with the digits 123456789?

One may replace "starts" by "ends" for a much easier challenge ;-)

See The Solution Submitted by JLo    
Rating: 4.0000 (3 votes)

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Puzzle Answer Comment 9 of 9 |
The first power of 666 that has the required characteristics is represented by:
--> 666^(170,299,270) 
  ~= 1.234567890440066451144073 * 10^480,835,600

The second power of 666 that has the desired characteristics is represented by:
--> 666^(211,193,452) 
~= 1.234567892751309448479852377911957 * 10^596,299,269

Edited on June 30, 2023, 7:51 am
  Posted by K Sengupta on 2022-06-30 23:08:44

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