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Let's see how good /prog/ really is

Name: Anonymous 2012-10-26 13:44

Can you find the smallest number that fulfills the following criteria?

1. It can only contain digits of 3, 5 and 7
2. The sum of the digits can be divided by 3, 5 and 7 without remainder
3. The number can be divided by 3, 5 and 7 without remainder

Name: Anonymous 2012-10-26 13:50

\sum_{n=1}^{N} a_n = S
S % 3 = S % 5 = S % 7 = 0

is it jewfinity?

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