I am new to this forum. I am an electrical engineer designing frequency synthesizers for electronic test and measurement equipment.
I have a design problem and I think that number theory could help me solve it. I'm not a mathematician, so I will state the problem the best I can.
F. Any number between 4000 and 8000
P1 = 50, or other predetermined constant.
When F mod P1 = 0, is there a value P2 such that F mod P2 >= C?
C is a fixed number, for example 10.