Saturday, April 26, 2025

My Mersenne Primality Testing Algorithm

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I'm not sure how fast it is compared to GIMPS, but it is acurate for all Mersenne or Fermat primes. See my article Value-Counting Up to ...
Saturday, April 05, 2025

Busy Beaver Number 5 is Alive!

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In theoretical computer science, the objective of the busy beaver is to find a terminating program of a given size that (depending on defin...
Monday, March 31, 2025

An Amazing Approximation to e

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An amazing pandigital approximation to e that is correct to 18,457,734,525,360,901,453,873,570 decimal places is given by: `e\approx(1+9^(−...
Monday, March 24, 2025

Permutation Rotations

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In this paper, we discuss certain properties of permutation rotations on each other. Click here to read my paper.
Tuesday, December 17, 2024

The Golden Ratio's Siblings

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On real numbers whose fractional part remain constant after squaring. Click here to read my paper.

52nd Known Mersenne Prime Found!

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The Great Internet Mersenne Prime Search (GIMPS) has discovered the largest known prime number, 2 136,279,841 -1, having 41,024,320 decimal ...
Friday, June 02, 2023

A Chiral Aperiodic Monotile

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An update to the aperiodic tile. This update shows that a shape that tiles the plane aperiodically without reflections is possible. The ori...
Saturday, April 01, 2023

Mathematicians have finally discovered an elusive ‘einstein’ tile

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A 13-sided shape known as “the hat” has mathematicians tipping their caps. It’s the first true example of an “einstein,” a single shape th...