Pair of Large Twin Primes

Theorem
The integers defined as:


 * $1\,159\,142\,985 \times 2^{2304} \pm 1$

are a pair of twin primes each with $703$ digits.

Proof
$1\,159\,142\,985 \times 2^{2304} - 1$:

$1\,159\,142\,985 \times 2^{2304} + 1$: