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Topic: An easy test to check the counting capability of computer
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Tapio Hurme

Posts: 853
Registered: 12/8/04
An easy test to check the counting capability of computer
Posted: Aug 2, 2006 4:20 PM
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Count the ratio (G-H)/(A-G), where A is the arithmetic mean, G is the
goemetric mean and H is the harmonic mean of the two consecutive primes p_n
and p_n+1.

If the p_n > 35000, which is quite small, then at least MS-Excel (in my
computer) results in ratios >1 although A-G > G-H. Plot the pattern.

Exercise: Proof A-H>A-G as A-H>2(G-H) especially in the case as p_n and
p_n+1 are two consecutive primes. ;-)

Tapio





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