Prime Gaps of 18
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Theorem
After the prime gap of $14$ between the pairs of consecutive prime numbers:
- $\left({113, 127}\right), \left({293, 307}\right), \left({317, 331}\right), \ldots$
the next prime gap which is greater than $14$ is between the pair of consecutive prime numbers:
- $\left({523, 541}\right)$
for a prime gap of $18$.
Proof
Demonstrated by listing the prime gaps.
Sources
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $113$