MacOS version of new “Chebyshev’s Bias Visualizer” released

We are releasing the MacOS version for the new “Chebyshev’s Bias Visualizer”. The new version has an improved user interface as well as a number of additional features like chart scrolling and zooming. For your convenience, the executable is released in .app as well as in .dmg versions.

Please, download it through the following link: cbv2_macos64_setup.

The version was tested for MacOS Catalina on a virtual machine only. 

Linux version of new “Chebyshev’s Bias Visualizer” released

We are releasing the Linux version for the new “Chebyshev’s Bias Visualizer” (version 2.0).

Please, download it through the following link: cbv2_linux64_setup.

The version was tested for Ubuntu 16.04, Ubuntu 18.04 and Gentoo Linux.

The version was tested for Ubuntu 16.04, Ubuntu 18.04 and Gentoo Linux.

New version of “Chebyshev’s Bias Visualizer” released

We are releasing the second version of “Chebyshev’s Bias Visualizer” – the application that allows to demonstrate the math phenomenon discovered over 165 years ago by a brilliant Russian mathematician Pafnuty L. Chebyshev and related to the Generalized Riemann Hypothesis.

The released version has an improved interface and a number of new features like chart scrolling and zooming.

You can download Windows 64-bit version through the following link: cbv_win64_setup

Versions for other platforms will be released later.

MacOS version of “Chebyshev’s Bias Visualizer” released

We are releasing the MacOS version for the “Chebyshev’s Bias Visualizer”.

Please, download it through the following link: cbv_macos64_setup.

The version was tested for MacOS Catalina on a virtual machine only. 

Linux version of “Chebyshev’s Bias Visualizer” released

We are releasing the Linux version for the “Chebyshev’s Bias Visualizer”.

Please, download it through the following link: cbv_linux64_setup.

The version was tested for Ubuntu 16.04, Ubuntu 18.04 and Gentoo Linux.

“Chebyshev’s Bias Visualizer” released

We are releasing the first version of “Chebyshev’s Bias Visualizer” – the application that allows to demonstrate the math phenomenon discovered over 165 years ago by a brilliant Russian mathematician Pafnuty L. Chebyshev and related to the Generalized Riemann Hypothesis.

You can download Windows 64-bit version through the following link: cbv_win64_setup

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“Chebyshev’s Bias Visualizer” to be released soon

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.

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Breakthrough Junior Challenge 2019 Video: Chebyshev’s Bias

New 7th sign-changing zone for ∆{24;13,1}(x) in Chebyshev’s bias found

We found the 7th sign-changing zone for for ∆{24;13,1}(x) between 5*1015 and 1016. It starts with 8744052767229817, ends with 8772206355445549 and contains 410687 terms. The results are contributed into 2 OEIS sequences: A295355 and A295356.

Chebyshev’s Bias: 165 Years of History

Intel ISEF 2019 Video Presentation

Switch to multi-threading for Chebyshev’s bias software

We started to develop a new version of our “4000 Chebyshev’s Bias Tester” that uses OpenMP for multi-threading.

Initial tests indicated that the test speed could be increased 4-5 times on a 4-core 8-thread processor that launches 8 copies of primesieve as a real-time prime number generator.

With the advent of affordable multi-core processors such as 32-core 64-thread AMD Ryzen™ Threadripper™ 2990WX Processor, the ranges beyond 1016 become possible in reasonable time without supercomputers and massively parallel processing (MPP).

10^16 test range reached for Chebyshev’s bias

We successfully reached 1016 test range for Chebyshev’s bias.

All results will be published in our repository and contributed to OEIS  in due course.

EUCYS 2018 Presentation

01-A3 Presentation v7.3EN no

5*10^15 test range reached for Chebyshev’s bias

We successfully reached 5*1015 test range for Chebyshev’s bias.

All results will be published in our repository and contributed to OEIS  in due course.