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Water boils at approximately 373 Kelvin. [Croll]
Describing 373 and repeating the process with each new term produces three more primes, i.e., one 3, one 7, one 3, generates 131713, etc. [Honaker]
373 = 32 + 52 + 72 + 112 + 132, i.e., the sum of the squares of five consecutive primes. [De Geest]
373 is the largest palindromic prime with all substrings prime. [Bakker]
The smaller member of a Gridgeman pair. [Patterson]
373 = 2^1 + 3^1 + 5^2 + 7^3 is the sum of the
first four primes raised to the powers of the the first four
Fibonacci numbers. [Post]
The only three-digit prime with digits a, b, c, such that a, b, c, ab, and bc are all prime, i.e., 3, 7, 3, 37, and 73 are all prime. [Seidov]
The smaller prime in the smallest Gridgeman pair that
remains so when 0s are inserted between digits. [Punches]
The smallest "primemirp" having only prime digits. [Beedassy]
The sum of four consecutive semiprimes (91 + 93 + 94 + 95). [Silva]
The smallest balanced palindromic prime. [Silva]
Hyman Levy's conjecture from 1963 (first published 1894 by
Emile Lemoine) states that all odd numbers N > 5 are the sum
of a prime p plus 2*q with a prime q, N=p+2*q (#) (verified
for N < 10^10). Note this is stronger than
Goldbach's-Euler's conjecture from 1742. Representation of
7=3+2*2 is unique, 13=3+2*5=7+2*3 has two representations.
373 is first palprime with 13 different (p,q)
representations of this type: (11,181) (two palprimes),
(47,163), (59,157), (71,151) (emirp and palprime),
(167,103), (179,97) (emirps), (227,73), (239,67), (251,61),
(311,31) (emirps), (347,13) (emirps), (359,7), (367,3).
Infos: (a) 135 = 5 * 3^3 is smallest composite of type (#),
(b) next primes with 13 representations are 461, 463, 467
(a prime triple), (c) note that 373 is biggest prime where
all substrings are primes. [Zschorn]
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