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.

Last Chebyshev’s bias data available in our repository

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

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 – August, 2018.

Provisional 50th Mersenne prime M77232917 supports Collatz conjecture

On March 17th, 2018 our “3007 Collatz Tester for Mersenne Primes” (the improved version of “3000 Collatz Tester”) tested the provisional 50th Mersenne prime M77232917 for being in agreement with Collatz conjecture and supported it. Continue reading

We won top “Step Into The Future” award: EUCYS 2018 participation

Our research “Testing Chebyshev’s bias for prime numbers up to 1015” won the top award at the “Step Into The Future” science forum and will be presented at the 30th European Union Contest for Young Scientists 2018 in Dublin (Ireland) on September 14-19, 2018. The EUCYS was set up at 1989 to promote the ideals of co-operation and interchange between young scientists. The contest is the annual showcase of the best of European student scientific achievement. The Russian team of 3 students will compete among other students from 43 countries.

In addition, our research got the right to be presented at Intel ISEF final that is held in the USA every year.

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Our research won “Step Into The Future” science forum

Our research work “Testing Chebyshev’s bias for prime numbers up to 1015” won “Step Into The Future” all-Russian science forum (a part of international Intel ISEF competition) that took place in Moscow on March 19-23, 2018. Continue reading

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