>>13551773Open problem dumbass.
Here why don't you try solving it. I'll start it off by claiming that the conjecture is the equivalent of proving that for all positive integers you can apply the function some times such that This basically just means if you plug in any value and apply the function enough times the result will eventually be smaller than its original value. If every number leads to a smaller number, and that smaller number leads to a smaller number, every number will eventually lead to
Write a basic script that bashes the first thousand or so integers and you'll notice lots of patterns. Some of the basic ones are that the above statement is true for even numbers, since you divide by immediately and that the statement is also true for all odd numbers that are because the result is You can prove on average the function shifts any value from an infinite geometric series, so the conjecture is probably true but a counterexample could still exist (though I think math is just elegant enough for it to always hold true and mathematicians already bashed the first positive integers or something).
Now go play around with the most tempting problem in mathematics that's famous for wasting people's time on your own or read Terence Tao's paper on it and fuck off 4chan.
