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# 373

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 = 3^{2} + 5^{2} + 7^{2} + 11^{2} + 13^{2}, i.e., the sum of the squares of five consecutive primes. [De Geest]

373 is the largest prime such that each substring is 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 first four Fibonacci numbers. [Post]

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]

12*34-5-6-7-8-9 = 373. [Homewood]

The sum of four consecutive semiprimes (91 + 93 + 94 + 95). [Silva]

The smallest balanced palindromic prime. [Silva]

The smallest multidigit palindromic prime of distinct prime factors of elements of Lucas sequence v(P=3,Q=5) of the second kind. [Post]

The smallest 3-digit prime that is an absolute, prime-digit, left and right-truncatable (ambi-truncatable?) prime. [Green]

The largest strange number.

The first palindromic prime formed from the enddigits of consecutive primes (43, 47, 53). [Silva]

Hall of Fame pitchers Grover Cleveland "Old Pete" Alexander and Christy Mathewson each won 373 games in their professional baseball careers.

One hundred grams of brown sugar contains 373 calories.

A gear ratio of "three-seventy-three" indicates 3.73 drive axle turns for every engine revolution. [Woodby]

The smallest prime (p) which is palindromic in three consecutive bases (b), b < p. [Petrov]

2*3*5*7*11*13*17*19*23*29*31*37*41*43*47*53*59*61*67*71*73*79*83*89*97*101*103*107*109*113*127*131*137*139*149*151*157*163*167*173*179*181*191*193*197*199*211*223*227*229*233*239*241*251*257*263*269*271*277*281*283*293*307*311*313*317*331*337*347*349*353*359*367 +/- 373 are both prime. 373 is perhaps the largest prime p such that (previous prime(p))# +/- p are both prime [Antonious]

Smallest palindromic prime such that sum of its digits is equal to the number of palindromic primes up to it. [Gupta]

373 is the only base 10 palindromic prime that remains a palindrome in three more bases less than 10: 9, 8 and 4 (454, 565 and 11311, respectively). [Rivera]