32423
This number is a prime.
The sum of the first 32423 prime numbers is pandigital. No other palindromic number shares this property. [Honaker]
32423 (March 24, 2023) will be a palindromic prime prime day in m/dd/yy format. It will be a very special day for residents of Bascom, FL 32423, birthplace of actress Faye Dunaway.
The sum of ten numbers such that each one gives a prime for the property sigma(x)-x , i.e., 32423 = 2^2 + 2^3 + 3^3 + 2^5 + 5^3 + 2^7 + 3^7 + 17^3 + 2^13 + 7^5. Note that each of these numbers and theirs exponents are either a power of 2, a Mersenne or Fermat prime. [Sariyar]
There are 32423 distinct-digit prime numbers with distinct-digit prime Collatz trajectory lengths. [Gaydos]
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