I remember a mathematician's advice about playing lottery (other than "don't play it") - pick numbers near the edges of the coupon, as people avoid those places. This way you minimize the chance of having to split the jackpot with someone else (and yeah "don't play it" still holds :-) )
The same, in theory, applies to sequences like 1 2 3 4 5 6 "because that will never happen", and numbers >31 (birth days).
In practice though, the number of n jackpot winners is significantly less likely than 1... and do you really care if you only win $10M instead of $20M?
Exactly. Using a scheme to try to figure out a lottery number that other people won't choose is like using "ZZZZZZZZ" as a password, on the basis that anyone who tries to brute force it will try that one last.
