Some Generalizations for a Theorem by Landau
Some Generalizations for a Theorem by Landau
Let π(x) be the number of primes not exceeding x .E. Landau made the following conjecture: π(2x) 2π(x) for integer x 2 .In 1966 Rosser and Schoenfeld proved this conjecture.In the present paper we establish upper bounds for π(x + y) .Taking the particular case x = y , we …