When did Barack Obama ever lived in Connecticut?

He never did. You may be responded to an internet myth, spread by the Birthers (people who believe the president was not born in the USA); that myth says the president had a fake social security number from Connecticut. But the story is false. He did not have a fake social security number from Connecticut, nor did he ever need a fake social security number. I enclose a link to one of the many fact-checking sites that debunked this internet myth.