1733

This number is a prime.

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A prime congruent to 5 (mod 12) followed by a gap of size 144 to the next prime congruent to 5 (mod 12) which is 1877. Note that a bigger gap between consecutive primes congruent to 5 (mod 12) does not occur until the gap of size 156 between 16673 and 16829. [Nie]