2309

This number is a prime.

+ The only known primorial prime of a palindromic prime. Note that (2309, 2311) is the third twin primorial prime pair. [Loungrides]

+ The first occurrence of a prime number of integers between the smaller and larger terms of an amicable pair.

+ The smallest number which leave remainders p-1 in each case when divided by the primes p up to 11. [Perrenoud]

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