“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.

OTP 20180219 v3.0FINAL

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

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

New and unknown 10th sign-changing zone in Chebyshev’s bias for ∆{4;3,1}(x) found

On January 20th, 2018 our  “4000 Chebyshev Bias Tester”  completed testing all primes up to 10*1014  and found a new and previously unknown 10th sign-changing zone for ∆{4;3,1}(x), where the value of ∆{4;3,1}(x) equals to -1. Continue reading

Number of steps in Collatz sequence for Mersenne primes from 46th to 49th published in OEIS

On November 14, 2017 our data on number of steps in Collatz sequence for Mersenne primes with the provisional index from 46th to 49th were included in OEIS as a comment to A181777. Prior to this A181777 contained information up to the 45th Mersenne prime only. Continue reading

Number of steps in Collatz sequence for Mersenne primes available for download

The data on the number of steps to reach one in Collatz sequence for Mersenne primes from the 1st to 45th (the last with confirmed index) became available for download from OEIS (A181777). The full sequence from the 1st to 49th Mersenne prime (the last known as of today) could be downloaded from our repository.

We contunue to publish our results in due course.

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

Provisional 49th Mersenne prime M74207281 supports Collatz conjecture

On September 19th, 2017 our “3007 Collatz Tester for Mersenne Primes” (the improved version of “3000 Collatz Tester”) tested the provisional 49th Mersenne prime M74207281 for being in agreement with Collatz conjecture and supported it. Continue reading

Provisional 48th Mersenne prime M57885161 supports Collatz conjecture

On August 28th, 2017 our “3007 Collatz Tester for Mersenne Primes” (the improved version of “3000 Collatz Tester”) tested the provisional 48th Mersenne prime M57885161 for being in agreement with Collatz conjecture and supported it. Continue reading

Provisional 47th Mersenne prime M43112609 supports Collatz conjecture

On August 7th, 2017 our “3007 Collatz Tester for Mersenne Primes” (the improved version of “3000 Collatz Tester”) tested the provisional 47th Mersenne prime M43112609 for being in agreement with Collatz conjecture and supported it. Continue reading

Provisional 46th Mersenne prime M42643801 supports Collatz conjecture

On August 3rd, 2017 our “3007 Collatz Tester for Mersenne Primes” (the improved version of “3000 Collatz Tester”) tested the provisional 46th Mersenne prime M42643801 for being in agreement with Collatz conjecture and supported it. Continue reading

45th Mersenne prime M37156667 supports Collatz conjecture

On July 31st, 2017 our “3007 Collatz Tester for Mersenne Primes” (the improved version of “3000 Collatz Tester”) tested the 45th Mersenne prime M37156667 for being in agreement with Collatz conjecture and supported it. Continue reading

44th Mersenne prime M32582657 supports Collatz conjecture

On July 29th, 2017 our “3007 Collatz Tester for Mersenne Primes” (the improved version of “3000 Collatz Tester”) tested the 44th Mersenne prime M32582657 for being in agreement with Collatz conjecture and supported it. Continue reading

43rd Mersenne prime M30402457 supports Collatz conjecture

On July 27th, 2017 our “3007 Collatz Tester for Mersenne Primes” (the improved version of “3000 Collatz Tester”) tested the 43rd Mersenne prime M30402457 for being in agreement with Collatz conjecture and supported it. Continue reading

42nd Mersenne prime M25964951 supports Collatz conjecture

On July 25th, 2017 our “3007 Collatz Tester for Mersenne Primes” (the improved version of “3000 Collatz Tester”) tested the 42nd Mersenne prime M25964951 for being in agreement with Collatz conjecture and supported it. Continue reading