We have rhs is power of a prime number so each of the factors on left that ix x+ 4 and x + 20 both are power of same prime number
As x + 4 < x + 24 so we have x+ 4 is a factor of x + 20
Or x + 4 is a factor of x+24 - (x+4) = 20
As x is natural number so x+ 4 > 4 so we need to consider only the factors of 20 which are greater than 4 that is 5, 10, 20
x+ 4 = 5 => x = 1 x + 20 = 25 power of x + 4 and p = 5 n = 3
x+4 = 10 => x= 6 x + 24 = 30 is not power of x + 4
Similarly x + 4 = 20 does not give a soltion
so only solution x = 1, p = 5 , n = 3
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