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What is the smallest integer that can be expressed as the sum of two squares in three different ways?

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What is the smallest integer that can be expressed as the sum of two squares in three different ways?
posted Jan 24, 2016 by anonymous

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Find the largest possible value of positive integer N, such that N! can be expressed as the product of (N-4) consecutive positive integers?

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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?

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