Sheriffs Investigating Twitter Game

As TMZ first reported, The Game says it was his friend who gave out the number to the Compton Sheriff's Station ... telling people to call it if they wanted an internship ... and causing them to be overrun with calls.

But Capt. Mike Parker tells TMZ that doesn't close this case just yet. He tells us, "We find the rapper's alleged comments in news media reports and on Twitter interesting and relevant, including who he says is actually responsible.