I did test for the 4th AP term.

- for the lower AP-3, 5^2 | A(4)
- for the higher AP-3, I have not found a trivial factor, but it is composite.
- A
_{1} = 5606879602425*2^1290000-1 prime
- A
_{2} = 33*2^2939063-1 prime
- A
_{3} = 33*2^2939064-5606879602425*2^1290000-1 prime
- A
_{4} = 99*2^2939063-5606879602425*2^1290001-1 composite