Prime Numbers Fit in a Quadratic

I think I have made a discovery. All prime numbers (that I have graphed so far) approximately fit in a quadratic equation. I’m saying that if we graph certian points that have primes in them, this graph matches accordingly to it. This equation is rough. The more points added, the equation will become different. The equation is:

y=0.000028112x^2+10.18783x-191.83731

I found this equation in Desmos.

I did this by graphing the primes in this form: n, p_n, where n in the number of prime and p_n is prime number. Example: the first prime number is 2, so (1, 2) is a point on the quadratic.

Published December 1st, 2025