83

This number is a prime.

Gus Lascar © 2003
+ 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 largest of only two double-digit primes whose cube, (571787), is the concatenation of a pair of 3-digit primes. [Trotter]

+ 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]

+ The only prime of the form p^4 + 2, where p is prime. [Firoozbakht]

+ 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]

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

+ 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.

+ The mean of all primes less than or equal to 83 equals the reversal of 83. [Honaker]

+ 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.

+ Bismuth, number 83 on the periodic chart, is the heaviest element that is not radioactive. [Conway]

+ If you write all primes up to 83, then you can see nine digits 1, ..., 9. [Poo Sung]

+ The largest known prime number p such that 2p does not contain the prime digit 2. [Capelle]

+ The optimum temperature (in degrees Celsius) for preparing custards made of one egg, one cup of milk, and one tablespoon of sugar. [Beedassy]

+ The only two-digit prime that is the arithmetic average of three consecutive emirps (73, 79, and 97). [Silva]

+ The largest known prime number that can be expressed as the sum of three positive triangular numbers in exactly one way. [Capelle]

+ The smallest prime exponent in the size of the free cartesian closed category over 3 objects. 3^83 is thus an upper bound on the number of left-associated formulas in Michael O'Connor's "An Interesting Puzzle in Propositional Logic." [Post]

+ Robert Peary estimated "Crocker Land" to be at about 83 degrees latitude.

+ The dot product of the vector whose components are the 4th row of Pascal's Triangle and the vector whose components are the first 5 primes in order. [Green]

+ The largest prime on the front cover of "Primes and Programming" by Peter J. Giblin.

+ Why 83 is prime.

+ 83 episodes of the sci-fi television series Lost in Space were aired.

+ The smallest prime p such that p plus the reversal of the next prime after p is a palindromic prime. [Silva]

+ Heath Miller wears jersey number 83 for the Pittsburg Steelers. (He was number 11 in high school and number 89 in college!)

+ "And Moses was fourscore years old, and Aaron fourscore and three years old, when they spake unto Pharaoh." (Exodus 7:7, KJV)

+ The only prime of form 3^x+5^x+7^x, where x is prime, (case x=2). Note that every other number of the same form, for x a prime, ends with 5. [Loungrides]

+ Indian Mathematician and prodigy mental calculator Shakuntala Devi died at age 83.

+ The "Code & Go Robot Mouse Activity Set" by Learning Resources contains 83 pieces. [Vanhook]

+ The only non-titanic prime of form p^(p+1)+2, where p is a prime, i.e., 3^4+2 = 83. [Loungrides]

+ (83, 89, 97) is the larger of only three known cases of successive primes p < q < r such that p|(qr-1), i.e., the smallest prime divides the product of the other two minus 1, (83 divides 89*97-1). The previous two cases are (2, 3, 5) and (11, 13, 17). [Loungrides]

+ "Car Number 83" won the Prime City 250.

+ The number of Mexican soldiers that died in the Battle of Puebla. [Green]

+ The 83rd palindromic number, 747, is divisible by 83. Is there a prime greater than 83 for which this is true? [Gaydos]

+ Prime numbers that end with the prime "83" occur more often than any of the possible two-digit endings of primes less than a thousand. These are 83, 283, 383, 683, 883, and 983. [Loungrides]

+ 83 plus the order of the Monster group is prime. [Honaker]

+ 83 can be expressed as the sum of three primes in 24 ways. Note that 24 is equal to 8*3. [Silva]

+ 83 is the smallest solution for the sum of six triangular integers equal to a prime: 83 = 3+6+10+15+21+28. [Rivera]

+ There are 83 cases in the Twisty Corners of Last Layer (TCLL) or 'Twisty' Method for speed-solving the Mini Cube. [Yau and Olson]

+ Persian mathematician, astronomer, philosopher, and poet Omar Khayyam (1048-1131) died at the age of 83.

+ As of 2013, the largest prime factor found using the Elliptic Curve Factorization Method (ECM) had 83 decimal digits. [Propper]

+ "83" is an upcoming Indian sports drama film directed by Kabir Khan.

+ 83 Diner is a family owned restaurant in York, Pennsylvania.

+ There are currently 83 species in a family of viruses known as poxviridae. [Howard]

+ 83-year-old Marshalene Greer Honaker can recite from memory the first 83 digits of π.

(There are 27 curios for this number that have not yet been approved by an editor.)

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