Proof needed for VERY STRANGE RESULT
Artur
grafix at csl.pl
Mon Jan 1 10:40:10 CET 2007
I was find proof by myself sorry for confusion.
If geometric mean is irrational number between two successive prime that
mean that previous prime will be smallest and greatest will be biger (as
same as with arithmetic mean)
ARTUR
Dnia 01-01-2007 o 10:34:39 Artur <grafix at csl.pl> napisał(a):
> Dear Seqfans,
> I was tested VERY STRANGE RESULT for the first 10000 terms that
>
> Previous Prime to geometric mean of two successive prime is equal
> smaller prime
> and NextPrime to geometric mean of two successive prime is equal greater
> prime
> a = {}; Do[AppendTo[a,
> PreviousPrime[Sqrt[(Prime[x])*(Prime[x + 1])]]-Prime[x]], {x, 1,
> 10000}]; a
>
> All the best in New Year!
> ARTUR
>
>
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