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How many integers m satisfy both the following properties : (i) 1≤ m ≤ 5000

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in Olympiad by (76.5k points)

How many integers m satisfy both the following properties :

(i) 1≤ m ≤ 5000

(ii) [√m] = [√(m+125)] ?

(Here [ x] denote the largest integer not exceeding x, for any real number x.)

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1 Answer

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Best answer

Let [√m] = p

2p + 1 > 125

P > 62

Hence total value of m

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