Does there exist a sequence of $2005$ consecutive positive integers that contains exactly $25$ prime numbers?
Problem
Source: 16-th Hungary-Israel Binational Mathematical Competition 2005
Tags: number theory unsolved, number theory
Source: 16-th Hungary-Israel Binational Mathematical Competition 2005
Tags: number theory unsolved, number theory
Does there exist a sequence of $2005$ consecutive positive integers that contains exactly $25$ prime numbers?