# 23

This number is a prime.

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Kristen Eller ©2002 |

The smallest multidigit prime that is simultaneously a left-truncatable prime and right-truncatable prime. [Loungrides]

The smallest prime that yields another prime if the next prime is sandwiched between its digits, i.e., 2293. [Loungrides]

(23, 29) is the only pair of consecutive double-digit primes p, q, such that the sum of digits of p^5 is equal to q and the sum of digits of q^5 is equal to p, (23^5=6436343 (whose sum of digits is 29) and 29^5=20511149 (whose sum of digits is 23). [Loungrides]

(17, 19, 23) is the only known triplet of multidigit consecutive primes p < q < r such that r|pq-1. [Loungrides]

(23, 29) is the only pair (p, q), of two consecutive double-digit primes (p < q), such that p^2+q^3-/+1, is a twin prime pair, i.e., (24917, 24919). [Loungrides]