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Ring in 2013 (Posted on 2012-12-31) Difficulty: 3 of 5
Start as you wish had you prove that for any k-digit number M there exists a number n such that the string of first k digits of 2n equals M.

Find a power of 2 whose decimal expansion begins with the 12-digit string "201320132013". It need not be the smallest such number.

Bonus: Find the smallest such number and prove it to be the smallest.

See The Solution Submitted by Charlie    
Rating: 4.0000 (1 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Hints/TipsHintCharlie2013-01-05 12:18:21
Hints/Tipsre(3): 'Slide Rule' LogicCharlie2013-01-02 12:09:36
re(2): 'Slide Rule' Logicbroll2013-01-02 01:48:36
re: 'Slide Rule' LogicCharlie2013-01-01 03:30:07
Some Thoughts'Slide Rule' Logicbroll2012-12-31 17:16:15
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