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Old 2021-08-24, 07:35   #45
Dobri
 
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May 2018

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Quote:
Originally Posted by LaurV View Post
If we call the mersenne number \(M_n\), what's wrong with calling the exponent of such a number \(E_n\), or \(e_n\) ?
En is also used to represent energy levels which gives an idea for an interesting computational problem:
What is the potential function which has the exponents of the Mersenne primes as its eigenvalues En?
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Old 2021-08-24, 07:44   #46
Dobri
 
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Other potential functions could be computed for the eigenvalues 1/En or the partial sums of 1/En, etc., of the Mersenne constants defined earlier.
Let's call them Mersenne potential functions for starters.
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