5897

This number is a prime.

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5897 is prime. Keller, Buell, and Young found that

5897 * 2²²⁶¹⁹ + 1 is prime, but
5897 * 2ⁿ + 1 is composite for 0 < n < 22619.

Yura found that

5897 * 2¹¹¹⁴⁹¹ + 1 is prime.

Note that both 22619 and 111491 are the smaller members of twin prime pairs. [Melo]