# 83

Gus Lascar © 2003 |

The TI-83 is a programmable graphing calculator.

There are over 10^{83} 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 10124^{2} = 102495376 to 30384^{2} = 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 (3^{2} + 5^{2} + 7^{2}). [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 2^{p} 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 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.

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]