19

This number is a prime.

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Q: How many terms of the series 1 + 1/3 + 1/4 + ... + 1/11 + 1/13 + ... (which excludes all denominators containing 2) is required to produce a sum greater than 19? Update: Chuck Gaydos of Arizona has found that the number of terms required to reach the first n natural numbers correspond to 1, 6, 19, 75, 315, 1320, 7141, 43593, 305341, 2593023, 28084553, 400994353, ... . [Honaker]

Submitted: 2018-12-31 01:10:19; Last Modified: 2025-12-11 03:06:28.