Let $N \geq 1$ and let $t (N)$ be the least integer $t$ such that there is no solution to $1 = \frac{1}{n _{1}} + \dots + \frac{1}{n _{k}}$ with $t = n_{1} < \dots < n_{k} \leq N$ . Estimate $t (N)$ .

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number theory · solved · possible · 0 attempts

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