EUCYS 2018 Video

EUCYS 2018 Presentation

01-A3 Presentation 20180902 v6.2EN 75%

Chebyshev’s bias test range increased to 10^16

We further expanded Chebyshev’s bias test range 10 times to 1016. At the first stage, the tests will be run up to 5*1015. Expected time to complete the first stage – November, 2018.

Last Chebyshev’s bias data available in our repository

The last Chebyshev’s bias data became updated and available in our repository.

We won “The best presentation in English” award at “Step Into The Future” science forum

Our presentation “Testing Chebyshev’s bias for prime numbers up to 1015” won “The best presentation in English” award at the “Step Into The Future” all-Russian science forum that took place in Moscow on March 19-23, 2018.

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Our research won “Mathematics and its applications in modern technologies” section of “Step Into The Future” science forum

Our research presentation “Testing Chebyshev’s bias for prime numbers up to 1015” became the only winner of the “Mathematics and its applications in modern technologies” section of “Step Into The Future” science forum that took place in Moscow on March 19-23, 2018. Continue reading

We participated in “Step Into The Future” science forum

Between March 19th and 23rd 2018 we participated in all-Russian science forum “Step Into The Future” with our research work “Testing Chebyshev’s Bias for prime numbers up to 1015 “.

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All Chebyshev’s bias data available at our repository

February 01, 2018 we made all our data on Chebyshev’s bias available at our repository. Continue reading

First sign-changing zones for ∆{24;19,1}(x) in Chebyshev’s bias found

On December 27, 2017 our “4000 Chebyshev Bias Tester” completed testing all primes up to 10*1014  and found 5 first and previously unknown sign-changing zones for ∆{24;19,1}(x), where the value of ∆{24;19,1}(x) equals to -1. Continue reading

First sign-changing zones for ∆{24;17,1}(x) in Chebyshev’s bias found

On December 27, 2017 our “4000 Chebyshev Bias Tester” completed testing all primes up to 10*1014  and found 3 first and previously unknown sign-changing zones for ∆{24;17,1}(x), where the value of ∆{24;17,1}(x) equals to -1. Continue reading

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

On December 20, 2017 our “4000 Chebyshev Bias Tester” completed testing all primes up to 10*1014  and found 5 new and previously unknown sign-changing zones for ∆{24;13,1}(x), where the value of ∆{24;13,1}(x) equals to -1. Continue reading

Data on first sign-changing zone for ∆{8;7,1}(x) in Chebyshev’s bias included into OEIS

As we reported before, on November 20, 2017 we submitted two our sequences for registration with OEIS. The sequences fully defined the first found sign-changing zone for ∆{8;7,1}(x) in Chebyshev’s bias. Continue reading

First sign-changing zone for ∆{8;7,1}(x) in Chebyshev’s bias found

On November 10th, 2017 our “4000 Chebyshev Bias Tester” fully determined the first sign-changing zone for ∆{8;7,1}(x) in Chebyshev’s bias (where ∆{8;7,1}(x) is equal to -1).

This zone starts with the prime 192252423729713, includes 234937 terms and ends with the prime 192876135747311. Continue reading

Full data on all 8 zones with 0 values for ∆{4;3,1}(x) in Chebyshev’s bias published

Оn October 15, 2017 we published in Online Encyclopedia of Integer Sequences (OEIS) under  A007351 the full data on all 419467 primes where ∆{4;3,1}(x) is equal to zero. Staring from 27410th term equal to 9103362505753 the published sequence includes data on the 8th sign-changing zone, that was predicted back in 2001 by a group of American mathematicians, but was never actually found. Continue reading

Full data on all 8 sign-changing zones for ∆{4;3,1}(x) in Chebyshev’s bias published

On October 13, 2017 we published in Online Encyclopedia of Integer Sequences (OEIS) under  A007350 the full data on all 194367 primes where ∆{4;3,1}(x) changes sign. Staring from 12502nd term equal to 9103362505801 the published sequence includes data on the 8th sign-changing zone, that was predicted back in 2001 by a group of American mathematicians, but was never actually found. Continue reading