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John Cook is an applied mathematician working in Houston, Texas. His career has been a blend of research, software development, consulting, and management. John is a DZone MVB and is not an employee of DZone and has posted 133 posts at DZone. You can read more from them at their website. View Full User Profile

Equivalent Form of the Riemann Hypothesis

11.30.2012
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The famous Riemann hypothesis is equivalent to the following not-so-famous conjecture:

              For every N ≥ 100, | log( lcm(1, 2, …, N) ) – N | ≤ 2 log(N) √N.

Here “lcm” stands for “least common multiple” and “log” means natural log.

Source: Andrew Granville’s chapter on analytic number theory in Princeton Companion to Mathematics.

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