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): $396,733$
This article is issued from ProofWiki. The text is available under Creative Commons Attribution-ShareAlike License unless otherwise noted. Additional terms may apply for the media files.