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2007 iTest Problems/Problem 57

Revision as of 02:55, 8 October 2014 by Timneh (talk | contribs) (Created page with "== Problem == Let <math>T=\text{TNFTPP}</math>. How many positive integers are within <math>T</math> of exactly <math>\lfloor \sqrt T\rfloor</math> perfect squares? (Note: <math>...")
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Problem

Let $T=\text{TNFTPP}$. How many positive integers are within $T$ of exactly $\lfloor \sqrt T\rfloor$ perfect squares? (Note: $0^2=0$ is considered a perfect square.)

Solution

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