Prime Gaps of 100

Theorem

The following pairs of consecutive prime numbers are those whose difference is $100$:

$\tuple {396 \, 733, 396 \, 833}, \ldots$

This article is complete as far as it goes, but it could do with expansion. In particular: Only know the first pair so far. Research needed to find the next one(s). You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by adding this information. 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 {{Expand}} from the code. If you would welcome a second opinion as to whether your work is correct, add a call to {{Proofread}} the page.

Proof

Demonstrated by listing the prime gaps.

$\blacksquare$

Sources

• 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $396,733$
• 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $396,733$