(Note: I haven’t checked yet to see if 1033 is prime)
So… basically, it’s the standard Newcomb’s problem, one box or two, one boxing means it’s a prime number and two boxing means it’s a composite number being displayed for the lottery, in this singular case.
I’d still probably one box here. If 1033 is prime, and I two box… well, then, Omega probably wouldn’t have picked it and we wouldn’t be discussing this scenario.
Put another way, I don’t see how the lottery number matching Omega’s number gives me any useful information about Omega’s accuracy, since the value of one number in no way depends on the other.
I would speculate that there’s some physiological component involved in spellcasting ability that grows with age, in much the same way that older children are often more coordinated and stronger than younger children. I have no evidence to back this up other than the repeated mentions of ‘age matters with spells’, however.