No
12
The HARMONIC NUMBERS are:
- H1 = 1
- H2 = 1 + 1/2 = 1.5
- H3 = 1 + 1/2 + 1/3 = 1.8333 ...
- H4 = 1 + 1/2 + 1/3 + 1/4 = 2.08333 ...
- So just how large is
Hn?
- You might like to check on a
calculator that H60 = 4.6798 ...
- The 60th Prime Number is 281 and one
60th of 281 is 4.6833 ...
- Is it just a coincidence that these
answers are very close?
- Calculate H100 (15 minutes at most!)
and then find one 100th of the 100th
prime and be amazed!
If you have answers, discoveries, new questions etc to
do with this Number Fact then...
- E-mail us at madrascollege.maths@fife.gov.uk
- ...and we will publish them here.
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