We publish our first data on the Collatz function for 2^20996011 – 1 (#13 known megaprime) and two of its odd neighbors located at ±2. Continue reading
We publish our first data on the Collatz function for 1059094^1048576 + 1 (#14 known megaprime) and two of its odd neighbors located at ±4. Continue reading
We publish our first data on the Collatz function for (919444^1048576 + 1 (#15 known megaprime) and two of its odd neighbors located at ±10. Continue reading
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).
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.
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.