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83 (another Prime Pages' Curiosity) |
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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 Erdös 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 which is a sum of three primes squared: 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. The state of Michigan has 83 counties. [Dobb] 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] 83 is the first prime which may be written as a sum of composite numbers in more ways (12964 ways) than it may be written as a sum of prime numbers (12488 ways). [Hartley] 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 and including 83 and you'll get the reversal of 83. The German "mental calculator" Rüdiger Gamm 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. It is said that he can also find the quotient of two primes to tens of decimal places with incredible accuracy. 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]
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