X is a positive eight-digit base ten integer of the form
CONSIDER where each of the capital letters in bold denotes a different base ten digit from 0 to 9, and satisfies all of the following conditions, where
C is nonzero.
- CO is divisible by 2.
- CON is divisible by 3.
- CONS is divisible by 4.
- CONSI is divisible by 5.
- CONSID is divisible by 6.
- CONSIDE is divisible by 7.
- CONSIDER is divisible by 8.
Determine the respective minimum and maximum value of X.
max(X) =
92,765,408 again by trial & error, but this time starting at the largest possible values and going backwards (98, 987, 9876, etc.)
Now Maximum
