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Old 2020-09-17, 18:39   #1
kriesel
 
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Mar 2017
US midwest

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Default Mersenne Primes and Benford's law

Someone mentioned Benford's law to me recently, and I decided to see how well the known Mersenne primes followed it. It turns out that the exponents follow it pretty well. The number of decimal digits in the known Mersenne primes do not though. Six is substantially more common a leading digit than expected. And that's the case whether the number of decimal digits is itself expressed in decimal, or in hexadecimal. Any ideas why?
See https://www.mersenneforum.org/showpo...35&postcount=6 for details.
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