Two-Sided Prime/Sequence

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Theorem

The complete sequence of two-sided primes is:

$2, 3, 5, 7, 23, 37, 53, 73, 313, 317, 373, 797, 3137, 3797, 739 \, 397$

This sequence is A020994 in the On-Line Encyclopedia of Integer Sequences (N. J. A. Sloane (Ed.), 2008).


Proof