Ten Problems of Number Theory

In this paper we will show solution of ten problems in number theory. Problem 1 : Balanced Primes are infinite. Problem 2 : Euclid primes are infinite. Problem 3 : Quasiperfect number doesn't exist. Problem 4 : Prime triplets are infinite. Problem 5 : Odd Superperfect number doesn't exist. PROBLEM 6 : PROOF OF POLIGNAC'S CONJECTURE. PROBLEM 7 : THERE ARE INFINITELY MANY PRIME OF THE FORM N²+1. PROBLEM 8 : LONELY RUNNER CONJECTURE PROOF WHEN VELOCITIES ARE IN ARITHMETIC PROGRESSION. PROBLEM 9 : WE WILL FIND THE VALUE OF IMAGINARY PART OF NON-TRIVIAL ZEROS OF RIEMANN ZETA FUNCTION.