Twin Primes/Examples/2,003,663,613 x 2^195,000 pm 1

Example of Pair of Twin Primes

The integers:

$2 \, 003 \, 663 \, 613 \times 2^{195 \, 000} \pm 1$

are twin primes.

Historical Note

According to Ian Stewart in his Taming the Infinite of $2008$, the numbers:

$2 \, 003 \, 663 \, 613 \times 2^{195 \, 000} \pm 1$

were the largest pair of twin primes known at the date of writing.

They were discovered in $2007$ by Eric Vautier, Patrick McKibbon and Dmitri Gribenko.

Sources

• 2008: Ian Stewart: Taming the Infinite ... (previous) ... (next): Chapter $7$: Patterns in Numbers: Fermat