This is a collection of formulas discovered by the Indian Mathematician Srinivasa Ramanujan (1887-1920) that appears in the book “A Passion for Mathematics” by Clifford A Pickover.
Here, the infinite product symbolized by , steps through every prime number.
Note that the term in parentheses can be reduced to , where is the golden ratio.
Where is the Euler-Mascheroni constant.
The following formulas used Pochhammer notation. In particular,
The subscript value effectively tells you how many terms to include in the product.
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