Answer:
There are 24 such numbers
5, 7, 11, 17, 19, 23, 25, 29, 31, 35, 37, 41, 43, 47, 49, 61, 65, 67, 71, 79, 83, 85, 91, 95
Step-by-step explanation:
Solving, we have
(x-y)(x-(y-1))=x^2-(2×y-1)x+y^2-y=x^2-ax+b comparison shows that
(2y-1)=a and y^2-y =b or
y(y-1)=b
This gives the following qualifying numbers
5, 7, 11, 17, 19, 23, 25, 29, 31, 35, 37, 41, 43, 47, 49, 61, 65, 67, 71, 79, 83, 85, 91, 95
