We are at the final stage of development for “Chebyshev’s Bias Visualizer”, a computer program that allows to visualize Chebyshev’s Bias, the phenomenon closely related to the Generalized Riemann Hypothesis.
The program is capable of producing graphs for any prime number race at required resolution level and save data for the future analysis and use with other graph and data analysis software.
We publish our first data on the Collatz function for 282589933 – 1 (#1 known megaprime) and two of its odd neighbors located at ±2.
We publish our first data on the Collatz function for 277232917 – 1 (#2 known megaprime) and two of its odd neighbors located at ±4.
We publish our first data on the Collatz function for 274207281 – 1 (#3 known megaprime) and two of its odd neighbors located at ±6.
We publish our first data on the Collatz function for 257885161 – 1 (#4 known megaprime) and two of its odd neighbors located at ±8.
Our “Easy Rule 30” was updated. You can download updated version through the following links:
We publish our first data on the Collatz function for 243112609 – 1 (#5 known megaprime) and two of its odd neighbors located at ±10.
We publish further data on the Collatz function for 242643801 – 1 (#6 known megaprime) and two of its odd neighbors located at ±12.
Once the maximum is reached, the speed of decline for the log of the Collatz function seems to be the same for all tested numbers and is equal to approximately -0.096.
We publish our first data on the Collatz function for 242643801 – 1 (#6 known megaprime) and two of its odd neighbors located at ±12.
On October 1, 2019 a well-known American mathematician Stephen Wolfram announced “Wolfram Rule 30 Prizes” science competition.
The competition is devoted to the solution of the so-called “Rule 30” – one of the unsolved math problems from a cellular automaton area.
Our sequence of 19353600 record 288-step delayed palindromes is published as A326414 .
The sequence starts with 12000700000025339936491 (the number discovered by Rob van Nobelen on April 26, 2019), ends with 29463993352000000700020 and contains all terms known at present.
We publish our first data on the Collatz function for 237156667 – 1 (#7 known megaprime) and two of its odd neighbors located at ±26.
We publish our first data on the Collatz function for 232582657 – 1 (#8 known megaprime) and two of its odd neighbors located at ±71149323674102624414.
We publish our first data on the Collatz function for 10223×231172165 + 1 (#9 known megaprime) and two of its odd neighbors located at ±4.
