## Math Olympiad Question: Sum of powers of two

Is there a number that is a sum of two powers of 2, and ends with 3 zeros?

For example, $2^3+2^{253}$=14474011154664524427946373126085988481658748083205070504932198000989141205000

Check out last month’s problem of the month at: http://www.fen.bilkent.edu.tr/~cvmath/Problem/problem.htm

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