This number is a prime.

+ Comet Hale-Bopp is predicted to return in the year 4397. The Heaven's Gate cult claimed there was an alien spaceship following behind it.

+ The smallest prime such that it and the next two primes (4409 and 4421) are all congruent to 5 (mod 12). [Nie]

(There are 2 curios for this number that have not yet been approved by an editor.)

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