This is a Number Theory problem.

My professor wants us to use Python coding to answer. I have got a little bit of the coding down, but it would be greatly appreciated if I could get some extra help!

Coding Exercise. (1) The year 2017 had the following property: 2017 is prime, 2018 is two times a prime number (2018 2 1009), and p + 2 is three times a prime number (2019-3 673). Call such a year a triple prime year. Find five triple prime years after 2017. (2) Define a and b to be a5666668532329037424074138019351214527900, and b 30650433630342066289005004723923980642610. Let d- ged(a, b). Count how many solutions (x, y) there are to the linear Diophantine equation ax + by d satisfying the condition 0