Prime Gaps of 14

Theorem

The following pairs of consecutive prime numbers are those whose difference is $14$:

$\tuple {113, 127}, \tuple {293, 307}, \tuple {317, 331}, \ldots$

This sequence is A031932 in the On-Line Encyclopedia of Integer Sequences (N. J. A. Sloane (Ed.), 2008).

Proof

Demonstrated by listing the prime gaps.

Sources

• 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $113$