EUCYS 2018 Presentation

01-A3 Presentation 20180902 v6.2EN 75%

Last Chebyshev’s bias data available in our repository

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

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 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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“The Practical Realization of a Cryptographic System Based on One-Time Pads” (in Russian)

We are publishing the short presentation of our paper called “The Practical Realization of a Cryptographic System Based on One-Time Pads” (in Russian) that won the top award in the Computer Science section of the Intel-Avangard conference (the part of Intel ISEF) on February 22-25, 2018.

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Our cryptography presentation won the top award at Intel-Avangard conference

On February 25, 2018 our cryptography paper and presentation “On practical realization of one-time pad cryptographic system” won the top award in the Computer Science section at Intel-Avangard conference, which is a part of international Intel ISEF competition. 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

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

On October 6, 2017, in addition to A051025, we published in Online Encyclopedia of Integer Sequences (OEIS) under A051024 the full data on the numbers of all 418933 primes where ∆{4;3,1}(x) becomes equal to -1. Staring from 27556th term equal to 316064952540 (that corresponds to the prime 9103362505801) the published sequence includes data on the 8th negative 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 negative zones for ∆{4;3,1}(x) in Chebyshev’s bias published

On October 6, 2017 we published in Online Encyclopedia of Integer Sequences (OEIS) under A051025 the full data on all 418933 primes where ∆{4;3,1}(x) becomes equal to -1. Staring from 27556th term equal to 9103362505801 the published sequence includes data on the 8th negative zone, that was predicted back in 2001 by a group of American mathematicians, but was never found. Continue reading

Number of steps in Collatz sequence for Mersenne primes published

On September 22, 2017 our data on number of steps in Collatz sequence for Mersenne primes were included in OEIS as an addition to A181777. Prior to this A181777 contained information up to the 42nd Mersenne prime only. Continue reading

Complete sequence of 108864 261-step delayed palindromes published

As we announced before, on April 23rd, 2017 our “1003 Palindrome Generator”, using proprietary theoretical algorithm, generated 108864 (one hundred and eight thousand eight hundred sixty four) 19-digit delayed palindromes with 261-step delay before achieving the 119-digit palindrome, each of which was independently tested and confirmed its properties. Continue reading

Largest text collage created with our software included into Guinness World Records

The largest text collage Lomonosov-305 created with our software, was included into Guinness World Records.

Our palindrome story aired on TV

Complete sequence of 430080 260-step delayed palindromes published

As we announced before, on April 22nd, 2017 our “1003 Palindrome Generator”, using proprietary theoretical algorithm, generated 430080 (four hundred and thirty thousand and eighty) 19-digit delayed palindromes with 260-step delay before achieving the 119-digit palindrome, each of which was independently tested and confirmed its properties. Continue reading