# 859

$t_title is "859"

$t_adjust_path is "/~caldwell/curios/"

$t_class is "prime"

$short is "859"

$nunber_id is "498"

$t_meta['description'] is "One of many pages of prime number
curiosities and trivia. This page discusses 859
Come explore a new prime today!"

The largest prime that cannot be the central number in a 3-by-3 prime magic square. [Rivera]

*Théorie des Nombres* by Adrien-Marie Legendre
contained 859 large quarto pages and was the first text to
*record* the observation that there seemed to be a curious
connection between the prime counting function and the
logarithm function.

The largest 3-digit distinct-digit prime p such that replacing any of its digits with the digit 3, the result is always a prime, i.e., 359, 839, 853. Note that a concatenation of these three primes, i.e., 359853839 is also prime. [Loungrides]

(There are 3 curios for this number that have not yet been approved by an editor.)

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