1. Doug was looking down over Jim's shoulder. "That's my new permit number," he said. "What's wrong with it?" "Nothing, Dad, but look," the boy replied. "If you subtract the square of its last pair of digits from the square of the other three, you get seven less than the number, and you always say seven's your lucky one." What was the number?

Permit number 10277

Permit number 10727

Permit number 10772