mersenneforum.org - View Single Post - A new problem similar to the Collatz problem

dabler · 2018-07-27, 21:03

I am concerned with the 7x±1 problem. My conjecture is that the orbit of arbitrary positive integer always leads to 1. I have computationally verified the conjecture for all numbers up to 10¹⁰. I would appreciate hearing any thoughts on this. Thanks!

2018-07-27, 21:03	#1
dabler "David Barina" Jul 2016 Brno 2³×5 Posts	A new problem similar to the Collatz problem I am concerned with the 7x±1 problem. My conjecture is that the orbit of arbitrary positive integer always leads to 1. I have computationally verified the conjecture for all numbers up to 10¹⁰. I would appreciate hearing any thoughts on this. Thanks!