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An Infinite Product of Euler

Published online by Cambridge University Press:  31 October 2008

A. C. Aitken
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In a letter to Stirling, dated July 27, 1738, Euler mentions having happened on the infinite product, “satis notatu dignam,” the numerators being the odd primes in their natural order, the denominators the multiples of 4 nearest to those primes. He says he can prove that the limit of this product is His proof was probably as follows:

Type
Research Article
Information
Edinburgh Mathematical Notes , Volume 22 , May 1924 , pp. 3
Copyright
Copyright © Edinburgh Mathematical Society 1924