83
(another Prime Pages' Curiosity)
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+ The smallest prime with a digit sum of 83 is 3999998999. [Chua]

+ The TI-83 is a programmable graphing calculator.

+ There are over 1083 elementary particles with non-zero mass in the known universe.

+ Number theorist Paul Erdős lived to be 83 years old.

+ The number of permutations of the 10 distinct digits taken 9 at a time that are perfect squares. These range from 101242 = 102495376 to 303842 = 923187456. [Beiler]

+ The cube of 83 (571787) is the smallest case of the concatenation of a pair of 3-digit primes. [Trotter]

+ The only prime equal to the sum of the squares of the odd prime digits: 83 = 3^2 + 5^2 + 7^2. [Seidov]

+ 83 is the smallest prime number which is the sum of a prime number of consecutive prime numbers in a prime number of different ways, i.e., 23 + 29 + 31 = 11 + 13 + 17 + 19 + 23. [Bottomley]

+ The smallest prime whose square, 6889, is a strobogrammatic number. [Wu]

+ In the movie 83 Hours 'Til Dawn, an heiress is kidnapped for ransom and buried alive in a special capsule that within 83 hours will become her tomb. It is based on a true story.

+ The number of the French department Var is 83.

+ 83 is the sum of the squares of the first three consecutive odd primes (32 + 52 + 72). [Gallardo]

+ The smallest multidigit curved-digit prime. [Gupta]

+ The exact number of Johnson Solids with no hexagonal faces. [Hartley]

+ In W. H. Auden's famous poem, "Miss Gee" lived in Clevedon Terrace at number 83. [La Haye]

+ There are exactly 83 right-truncatable primes. [Angell and Godwin]

+ The first prime that can be written as a sum of composites in more ways than it can be written as a sum of primes. [Hartley]

+ The first prime in the decimal expansion of the Gauss's constant G, defined as the reciprocal of the arithmetic-geometric mean of 1 and sqrt(2). Note that G = 0.83462684167.... [Capelle]

+ 283-832 is the smallest prime of the form n83-83n. [Patterson]

+ 83 is the sum of the first three primes ending with the digit one. [Sladcik]

+ 83 is the only known number m greater than one such that both numbers (m-1)!*m!*(m+1)!*prime(m) - 1 & (m-1)!*m!*(m+1)!*prime(m) + 1 are primes. [Firoozbakht]

+ The United States Navy ship "Pueblo" had a crew of 83 men on board when it was seized by North Korea. [Dobb]

+ Find the average of all primes up to 83 and you'll get the reversal of 83.

+ The German "mental calculator" Rüdiger Gamm (1971- ) once demonstrated his ability on an Australian radio show by calculating consecutive powers of 83 in his head without making a mistake. The number 83 had been selected for him randomly.

+ Vanuatu is an archipelago of 83 islands lying between New Caledonia and Fiji in the Southwest Pacific.

+ Total number of vertices in all finite 6-dimensional regular polytopes (7 in the 6-simplex, 64 in the 6-hypercube, 12 in the 6-hyperoctahedron). [Post]

+ The Irish born figurative painter Francis Bacon died in 1992 at the age of 83. Note that 1992 hours is exactly 83 days.

+ The reversal of 83 is the arithmetic average of the first primes up to 83. [Silva]




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