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Are the Stieltjes constants irrational? Some computer experiments
Khnichin’s theorem is a surprising and still relatively little known result. It can be used as a specific criterion for determining whether or not any given number is irrational. In this paper we apply this theorem as well as the Gauss-Kuzmin theorem to several thousand high precision (up to mo ...
Two Arguments that the Nontrivial Zeros of the Riemann Zeta Function are Irrational. Part II
We extend the results of our previous computer experiment performed on the first 2600 nontrivial zeros γl of the Riemann zeta function calculated with 1000 digits accuracy to the set of 40 000 first zeros given with 40 000 decimal digits accuracy. We calculated the geometric means of the denomin ...
Computer Experiments with Mersenne Primes
We have calculated on the computer the sum BM of reciprocals of first 47 known Mersenne primes with the accuracy of over 12000000 decimal digits. Next we developed BM into the continued fraction and calculated geometrical
means of the partial denominators of the continued fraction expansion ...