A number n becomes a square number when 6 is subtracted from it. The sum of n and 19 is another square number, Find the value of n

Find the greatest value of prime number P in 1991P + 1, so the sum is a square number

Given that 24a + 96b is a square number, where a and b are positive integers. Find the latest value of a + b

Given a = 123456789 and x is the ones digit of a² . y and z the tens and hundreds digits of a² respectively . Find the value of x + y + z.

(100 + n) is a square number. (151 + n) is another square number. Find the value of n.

It is given

1 x 2 x 3 x 4 + 1 = 25 = 5²

2 x 3 x 4 x 5 + 1 = 121 = 11²

3 x 4 x 5 x 6 + 1 = 361 = 19²

4 x 5 x 6 x 7 +  1 = 841 = 29²

5 x 6 x 7 x 8 + 1 = 1681 = 41²

Find 2006 x 2007 x 2008 x 2009 + 1

Devise a formula for the computation of the n^th term for

15² = 225

25² = 625

35² = 1225

45² = 2025

Find a positive value of m such that 3⁶ + 3⁷ + 3⁸ + 3^m + 3¹⁰ is a square number

The number of student in Balmoral High School in 2008 is a square number. The number of students increased by 184 in 2009 and is still a square number. The school had x students in 2008.

Find x ?