Solve the Simple Equation

Can you solve below mathematical equation?

2^1234 - 2^1233




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While house hunting in London, I came across a very good leasehold property Discussing the lease the landlady told me:

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when counted in sixes, there was five extra.

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In 2007, a puzzle was released and $2 million prizes were offered for the first complete solution. The competition ended at noon on 31 December 2010, with no solution being found. Wiki