So this is the question I'm trying to find a solution to:
Prove or disprove whether you can order the years 1985, . . . , 1995 so that the resulting 44-digit number is prime.
I've tried some brute force methods to try to see a pattern, using divisibility rules to rule out possible numbers and trying to multiply prime numbers together to get one of the possible 44-digit numbers as a resulting composite number. It became clear pretty quickly how long it'd take to try using either method to solve this, so now I'm a little stuck. There has got to be a much more elegant method for solving this that I'm not seeing.