|Thinning out the harmonic series even more.|
Message #1 Posted by Rodger Rosenbaum on 29 June 2007, 12:09 a.m.
Valentin's recent challenge involving the harmonic series caused me to run across a related series:
and a fascinating modification to it.
If you delete from the harmonic series of primes those primes that contain each of the digits 0,1,2,3,4,5,6,7,8,9 at least once, the series converges.
A paper providing a proof of this was published in Mathematics Magazine in October, 1995.
But, the author didn't provide the value of the limit.
Can we find it with our calculators?