Brain Teasers
Largest Number II
What's the largest 6-digit number that satisfies this condition:
Each digit from the third on equals the product of its two preceding digits.
Each digit from the third on equals the product of its two preceding digits.
Answer
This time, the number of digits is fixed (6), so we should start with the largest digits possible. The first digit is at most 9, and if the second digit is 1 or more, we can't make such a 6-digit number.So, the largest number we are looking for is 900000.
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