Question: what is the formula for finding prime numbers?
Answer: Consider a polynomial F(x) = x^{2} + x + 41. \, Let's check its values for a few first integers: F(1) = 43\, which is prime. F(2) = 47\, which is also prime. Furthermore, F(3) = 53,\, F(4) = 61,\, F(5) = 71,\, F(6) = 83,\, F(7) = 97,\, F(8) = 113,\, F(9) = 131,\, all of which are prime.