Question 78
Find one hundred distinct positive integers $n_1,\ldots,n_{100}$ such that
$$1=\frac1{n_1}+\frac1{n_2}+\cdots+\frac1{n_{100}}.$$
$$1=\frac1{n_1}+\frac1{n_2}+\cdots+\frac1{n_{100}}.$$
MathNet 2012 Question 78
Math Olympiad Vault · MathNet 2012