The wife of Jets coach Eric Mangini gave birth to their third son Friday, and his middle name is Brett.

No, it’s no coincidence: Mangini says the middle name of baby Zack Brett Mangini is a tribute to his new quarterback, Brett Favre. Mangini told Favre over the summer that if he came out of retirement to play for the Jets, the Manginis would name their son after him.

I think he thinks it’s pretty cool,” Mangini said of Favre. “I think the more interesting, ironic, I don’t know what word you’d use, is the fact he was born on Brett’s birthday.”

Brett Favre turned 39 on Friday.

“The odds of the child being born on the same day as my birthday, I don’t know what the odds are,” Favre said. “He told me that today was the day and I asked, ‘Well, is he still going to be Brett?’ He said, ‘Yeah, Zack Brett.’ … The odds, in some respects, are a lot like me. What were the odds of me ever coming to the Jets? It is a pretty cool thing.”

The middle names of Mangini’s other sons are Harrison and William, in honor of Patriots safety Rodney Harrison and Patriots coach Bill Belichick.

Mangini initially wanted to name his son Four, but Mrs. Mangini nixed that idea.