|Gus Lascar © 2003|
The TI-83 is a programmable graphing calculator.
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 sum of the squares of the first three consecutive odd primes (32 + 52 + 72). [Gallardo]
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]
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]
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 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]
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.
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]
(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.
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]