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Powers of 2: deleted digit

Posted on: January 20th, 2013 by
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Find all powers of 2 such that, after deleting the first digit, another power of 2 remains.  (For example, 25 = 32.  On deleting the initial 3, we are left with 2 = 21.)  Numbers are written in standard decimal notation, with no leading zeroes.

via Nick's Mathematical Puzzles: 111 to 120.

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