Question

prove that the square of any positive integer in any of the form Q, 5Q + 1 PQ + 4 for some integer q​

Answer 1

Answer:

a^2 = 5q + 4. Lets also consider q to be equal to 5m^2 + 8m + 3. Hence, the square of any positive integer is of the form 5q or 5q + 1 or 51 + 4.