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Topic:
An easy test to check the counting capability of computer
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An easy test to check the counting capability of computer
Posted:
Aug 2, 2006 4:20 PM


Count the ratio (GH)/(AG), 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 MSExcel (in my computer) results in ratios >1 although AG > GH. Plot the pattern.
Exercise: Proof AH>AG as AH>2(GH) especially in the case as p_n and p_n+1 are two consecutive primes. ;)
Tapio



