The smallest two-digit number such that phi(n) + sigma(n) is prime. [Russo]
32! - 1 and (32 + 1)! - 1 are primes. [Gallot]
25 is the highest known power with all decimal digits being prime. [Kulsha]
M32 contains all known prime factors of form 2^2^k+1 in logical order, where k = 0 to 4. [Luhn]
It is not known if there exists a
mean gap of exactly 32 between the first n successive
primes.
232 - 1 is the product of the first Fermat primes which are known (3, 5, 17, 257, 65537). [Capelle]
The only even number formed from two consecutive
primes. [Silva]
Half of this reversal of a prime may be had by turning its first
digit (2nd prime) into a tetration superscript (32=16), while the index of that prime comes by turning the second
digit (1st prime) into an exponent (32=9, with 23=p9). [Merickel]
(There are 2 curios for this number that have not yet been approved by an editor.) To link to this page use http://primes.utm.edu/curios/page.php?number_id=399
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