Sequence of 8 Consecutive Primes with Same Pattern of Differences as from 11

Theorem

The $8$ prime numbers starting at $15 \, 760 \, 091$ have the same prime gaps as the $8$ primes starting at $11$.

Those $8$ primes are:

$15 \, 760 \, 091, 15 \, 760 \, 093, 15 \, 760 \, 097, 15 \, 760 \, 099, 15 \, 760 \, 103, 15 \, 760 \, 109, 15 \, 760 \, 111, 15 \, 760 \, 117$

Their prime gaps are:

$2, 4, 2, 4, 6, 2, 6$

The $8$ primes starting at $11$:

$11, 13, 17, 19, 23, 29, 31, 37$

Their prime gaps are:

$2, 4, 2, 4, 6, 2, 6$

Sources

• 1994: Richard K. Guy: Unsolved Problems in Number Theory (2nd ed.)

• 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $15,760,091$