Faith

In number theory, the Pólya conjecture stated that 'most' (i.e. more than 50%) of the natural numbers less than any given number have an odd number of prime factors. The conjecture was posited by the Hungarian mathematician George Pólya in 1919, and proven false in 1958.

Pólya's conjecture was disproven by C. B. Haselgrove in 1958. He showed that the conjecture has a counterexample, which he estimated to be around 1.845 × 10³⁶¹.

The size of the smallest counter-example is often used to show how a conjecture can be true for many numbers, and still be false.

source: wikipedia