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I wrote a 11811-character regex for divisibility by 7 back in August 2008: http://web.mit.edu/andersk/Public/regex

And unlike the one on stackexchange, it's actually correct!

(I have a regex -> DFA compiler here that I just threw your regex through. Seven states, connected as expected)

Do you have the source to the program you wrote the regex with? (Or did you write it by hand?)