Kempner Series
Compute , with denoting that all members of the series shall to be ignored or given the value 0, that contain a digit 1 in their denominator.
The answer is 1617.
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1 solution
The series \displaystyle \sum_{i=1}^{\infty}'\frac{1}{i} is the Kempner series with digit removed 1. The value of this series is known to be approximately 16.177, so the answer is 1 6 1 7 .