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What is the smallest positive integer that cannot be represented using these conditions?

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Below shows the first 5 positive integers formed by using the four mathematical operators (+ - * /) only on the digit 4 four times.

1 = 44 / 44
2 = 4*4 / (4+4)
3 = (4+4+4) / 4
4 = 4 + (4*(4-4))
5 = (4+(4*4)) / 4

What is the smallest positive integer that cannot be represented using these conditions?

posted Aug 10, 2016 by Kuldeep Apte

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