One of 4 Consecutive Numbers Greater than 11 is Divisible by Prime Greater than 11
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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
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Sources
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $11$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $11$