Sequence of 9 Primes of form 4n+1

Theorem
The following sequence of consecutive prime numbers are all of the form $4 n + 1$:
 * $11 \, 593, 11 \, 597, 11 \, 617, 11 \, 621, 11 \, 633, 11 \, 657, 11 \, 677, 11 \, 681, 11 \, 689$