I'm not sure what is going on but post #10 definitely isn't by history 🤣
I think the confusion is stemming from the wording.
Hint: equiangular ≠ regular.
No, there isn't a magic bullet method for determining whether or not a number is prime, but if you are dividing the number you only have to test up to its square root. See https://en.wikipedia.org/wiki/Primality_test
Please do not answer this question. It is from AoPS, as the link clearly shows.
You could use recursion, let an be the number of ways for n steps. Then Leo can hop 1 step or 2 steps on the first hop, so an=an−1+an−2. You can calculate a1=1 and a2=2 and use them to find a10. This is basically the Fibonacci sequence.
There are a lot of things on this site that need fixing. I don't think Admin has time for it though since he isn't here often.
Well it looks like I missed that in your original answer, but I stand by my "insinuation" that your answer is AI-generated.
Your AI forgot about y=x.