## Solution to: Notable Number

The sum of the digits 0 up to 9 is 45, which is divisible by 3.
Because a number is divisible by 3 if the sum of its digits is divisible by 3, *every* number consisting of the digits 0 up to 9 is divisible by 3.
A number that is divisible by 3 is not a prime number.

Conclusion: there is no prime number of ten digits, in which all digits from 0 up to 9 occur exactly once!

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