It took a long time. Now it’s finally here: The update to the book supplement: Online E-book PDF for download
Where is the 53th Mersenne prime number?
If you want to know where the next Mersenne prime number might be: There is a conjecture that the values of the Mersenne prime exponents follow the function on a statistical average and thus can be approximated by a straight line (in a logarithmic representation). The plot shows the straight in red color. Here, is…
52nd Mersenne Prime discovered
The 52nd known Mersenne prime was discovered on October 21, 2024. It has more than 40 million digits in decimal notation and reads: Source: https://www.mersenne.org
Extended arithmetic operators
Are there other types of arithmetic operations besides addition, multiplication and exponentiation? The following ideas were developed in collaboration with the physicist Adil Bulus and describe some field constructions that enable a ‘seamless’ transition between different types of arithmetic operations. The original works by Adil Bulus can be found on the website https://www.mathematische-notizen.de. Go to…
animation of the Riemann Zeta function
A video animation of the Riemann Zeta function. The function values along the critical straight line with real part 1/2 are marked in blue:
Dance of the Zeta A-points
A-points of the zeta function: A generalization of the zeros of the zeta function The solutions of equation are generally referred to as A-points of the zeta function. A-points therefore represent a generalization of the zeros of the zeta function. The special case of applies to the ‘normal’ zeros of the zeta function. The following…