Re: [math-fun] New (to me) proof of divergence of the harmonic series

Those were some cute proofs! In a similar vein Robin Chapman gives 14 proofs of the more difficult fact that the sum of the reciprocals of the squares of the natural numbers equals pi squared over six. You can find them here: http://www.secamlocal.ex.ac.uk/people/staff/rjchapma/etc/zeta2.pdf -- On Fri, Mar 21, 2008 at 6:56 AM, Edwin Clark <eclark@math.usf.edu> wrote:

Googling I find:

31 proofs that the harmonic series converges are collected in these two papers:

http://faculty.prairiestate.edu/skifowit/htdocs/harmapa.pdf

http://faculty.prairiestate.edu/skifowit/htdocs/harm2.pdf

Your proof is number 8 in the list. :-)