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86 at most (Posted on 2012-08-18) Difficulty: 3 of 5
286 is conjectured to be the largest power of 2 not containing a zero.
This simply stated conjecture has proven itself to be proof-resistant.

Source: several articles on the web
Do not try to find a counterexample.
Try to explain why it sounds true and why it is so hard to prove.

See The Solution Submitted by Ady TZIDON    
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  Subject Author Date
Solutionmore detailed solutionCharlie2012-08-18 15:07:44
simple versionbroll2012-08-18 12:38:47
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