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The hardware and software on this system was updated September 4th.  Please let me know of any problem you encounter. <caldwell@utm.edu>

+ There is no prime in which the mean gap between the first n successive primes is exactly 22. [Dodson]

+ It is unknown if there is a relatively prime pair of amicable numbers. If there is such a pair, their product must be at least 22 distinct primes.

+ The smallest integer such that its sum of digits + 1 and the product of its digits is prime, together with the fact that the sum of digits is the same as the product. [Russo]

+ 22 is the smallest number which can be expressed as the sum of two primes in three ways. [Murthy]

+ 1pi(1) + 2pi(2) + 3pi(3) + 4pi(4) + ... + 22pi(22) is prime. [Poo Sung]

+ The smallest multi-digit square-free number such that all the digits are primes. [Russo]

+ The smallest multi-digit composite palindrome whose total number of prime factors (counting multiplicity) is square-free. [Russo]

+ The longest known arithmetic sequence of primes is currently 22, starting with the prime 11410337850553 and continuing with common difference 4609098694200 (found by Pritchard, Moran, and Thyssen in 1993).

+ 22 is the smallest multidigit composite palindrome such that the concatenation (211) as well as the sum (13) of its prime factors are prime. [De Geest]

+ It is possible for a Queen to attack all 22 prime numbered squares on 9x9 Knight's Tour solution (Jacques Tramu, 2004).

+ 22 is the smallest Hoax Number.

+ The smallest dihedral semiprime. Note that it contains the smallest dihedral prime. [Capelle]

+ The smallest sum of TWO primes with prime subscripts (PIPs) in TWO ways: 22 = 11 + 11 = 17 + 5. [Post]

(There are 6 curios for this number that have not yet been approved by an editor.)

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