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Re: Prime numbers and pi
Posted:
Apr 13, 2009 12:20 PM
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I found no stairway for Euler's infinite product
pi = 2 x 3/2 x 5/3 x 7/6 x 11/10 x 13/14 x 17/18 ...
but for a series whose sum Euler discovered:
'1x1 '2x2 '3x3 '4x4 '5x5 '6x6 ... equals '6 of pi x pi
"1
'1x1 "3
'1x1 '2x2 "5
'1x1 '2x2 '3x3 "7
'1x1 '2x2 '3x3 '4x4 "9
'1x1 '2x2 '3x3 '4x4 '5x5 "11
'1x1 '2x2 '3x3 '4x4 '5x5 '6x6 "13
'1x1 '2x2 '3x3 '4x4 '5x5 '6x6 '7x7 "15
and so on.
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