This final project discusses the sums of squares of Fibonacci and Lucas numbers with prime number by using identity Fibonacci and Lucas numbers also Binet’s formula Fibonacci and Lucas sequence with applying the oor function of the maximal prime gap as an tribe. Calculate the sums of squares approximated by ⌊G(x)⌋ ∼ log2 x. Algebraically it is shown that the sums of the Fibonacci and…