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Published online by Cambridge University Press: 31 October 2008
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:
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