The book is now available! 1723
(just those submitted by Caldwell)
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GIMPS has discovered a new largest known prime number: 282589933-1 (24,862,048 digits)

Just showing those entries submitted by 'Caldwell': (Click here to show all)

+ Proving the Riemann Hypothesis is equivalent to showing
floor(H(n)+eH(n))*log(H(n)) > σ(n),
where H(n) = 1 + 1/2 + 1/3 + ... + 1/n, and σ(n) is the sum of the divisors of n. For example, when n = 17, the two sides differ by 23. [Caldwell]

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