 This statement is a special case of an earlier conjecture of Bunyakovsky and remains open.Hardy and Littlewood further assert that, asymptotically, the number "P"("n") of primes of the form "ax"2 + "bx" + "c" and less than "n" is given by

where "A" depends on "a", "b", and "c" but not on "n".By the prime number theorem, this formula with "A" set equal to one is the asymptotic number of primes less than "n" expected in a random set of numbers having the same density as the set of numbers of the form "ax"2 + "bx" + "c".