Prime Gaps of 8
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Theorem
The following pairs of consecutive prime numbers are those whose difference is $8$:
- $\tuple {89, 97}, \tuple {359, 367}, \tuple {389, 397}, \tuple {401, 409}, \ldots$
This sequence is A031926 in the On-Line Encyclopedia of Integer Sequences (N. J. A. Sloane (Ed.), 2008).
Proof
Demonstrated by listing the prime gaps.
Sources
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $89$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $89$