So I often see this type of question appear: how many primes are there between 9! + 2 and 9! + 8. The answer is none because 9! = 9*8*7.... *2*1, since 9! is a multiple of 2, adding 2 means it's still a multiple of 2 and hence not prime. However, if the question were to ask, 9! + 12, this is also 9! + 5 + 7, so does this mean this is also not prime? So to generalize, can we say there are no primes between 9! + 1 to 9! + (9+8+7.....+ 2+1)?
You are correct - they're are no prime numbers between 9! + 1 and 9! + 9.. or 362,881 and 362,889.
I used this site to double check - https://www.apples4theteacher.com/prime-factors.html
