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.
There are nine eight-digit numbers which meet the conditions for divisibility, with unique digits. The first and last would be the minimum and maximum requested. Execution time 0.01 seconds.
12965408
30925864
36925840
38165472
72965480
78320416
78920456
80165472
92765408
Consideratum
