Prime-Generating Quadratic of form 2 x squared minus 1000 x minus 2609

Theorem

The quadratic function:

$2 x^2 - 1000 x - 2609$

has $602$ prime values among its first $1000$ values.

Some of those prime numbers are negative.

Proof

This theorem requires a proof. In particular: Lots of tedious calculations needed to prove this. You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by crafting such a proof. To discuss this page in more detail, feel free to use the talk page. When this work has been completed, you may remove this instance of {{ProofWanted}} from the code. If you would welcome a second opinion as to whether your work is correct, add a call to {{Proofread}} the page.

Sources

• 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $41$