One of 4 Consecutive Numbers Greater than 11 is Divisible by Prime Greater than 11
Jump to navigation
Jump to search
Theorem
Let $n \in \Z$ such that $n > 11$.
Then at least one of the set:
- $\set {n, n + 1, n + 2, n + 3}$
is divisible by a prime number greater than $11$.
Proof
This theorem requires a proof. 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
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $11$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $11$