Question 1
Up to what number has the Collatz Conjecture been tested without counterexamples?
Question 2
In mathematical analysis, how do odd numbers behave on average in Collatz sequences?
Question 3
What transformation is applied to odd numbers in the Collatz sequence?
Question 4
What is a potential fearful outcome related to other mathematical problems, as suggested by some about the Collatz Conjecture?
Question 5
Why is brute force testing insufficient to prove the Collatz Conjecture?
Question 6
Which law suggests that the leading digits of hailstone numbers often follow a specific distribution?
Question 7
Why is the Collatz Conjecture sometimes avoided by mathematicians?
Question 8
What field of mathematics does the Collatz Conjecture challenge?
Question 9
Why are sequences produced by the Collatz Conjecture called hailstone numbers?
Question 10
What is the main outcome predicted by the Collatz Conjecture?
Question 11
Who is credited with naming the Collatz Conjecture?
Question 12
What does 'total stopping time' measure in the Collatz sequence context?
Question 13
What kind of directed graph is often used to represent connections in Collatz sequences?
Question 14
What recent insight did Terry Tao provide about Collatz sequences?
Question 15
How are the patterns in Collatz sequences often characterized?