With an S of 1..........the 1st term in this is 2......................................starting at (2, 0) on the X axis is where I made that right triangle.............with hyp of the square root of 8 and the square root of 10...........................

Euler product - Wikipedia

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Euler product. In number theory, an Euler product is an expansion of a Dirichlet series into an infinite product indexed by prime numbers. ... This series and its continuation to the entire complex plane would later become known as the Riemann zeta function.

‎Definition · ‎Convergence · ‎Examples · ‎Notable constants

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Proof of the Euler product formula for the Riemann zeta function ...

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Proof of the Euler product formula for the Riemann zeta function. Leonhard Euler proved the Euler product formula for the Riemann zeta function in his thesis Variae observationes circa series infinitas (Various Observations about Infinite Series), published by St Petersburg Academy in 1737.

‎The Euler product formula · ‎Proof of the Euler product ... · ‎Another proof

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Euler Product -- from Wolfram MathWorld

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by EW Weisstein - ‎2003 - ‎Cited by 1 - ‎Related articles

where p_k is the k th prime. This is Euler's product (Whittaker and Watson 1990), called by Havil (2003, p. 61) the "all-important formula" and by Derbyshire ...