Recent content by MrHellmet

Thank you for this very thoughtful and insightful response. I really appreciate it.Thank you especially for the link to Tao's paper. I am familiar with his work, and I agree his approach is very deep. My framework is quite different as it focuses more on the local, modular structure of the...

Hello everyone,I've been empirically analyzing the transitions between successive odd numbers in the Collatz sequence (m_{new} = (3m_{old}+1)/2^N).I've observed that odd integers that produce a specific "valuation jump", \Delta v = v_2(3m_{new}+1) - v_2(3m_{old}+1), seem to fall into arithmetic...