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A very large number raised to a very large power is "approximately" equal to the larger of the following two values: the first value and 10 to the power the second. For example, for very large n {\displaystyle n} there is n n ≈ 10 n {\displaystyle n^{n}\approx 10^{n}} (see e.g. the computation of mega ) and also 2 n ≈ 10 n {\displaystyle 2 ...
Arbitrary precision is used in applications where the speed of arithmetic is not a limiting factor, or where precise results with very large numbers are required. It should not be confused with the symbolic computation provided by many computer algebra systems , which represent numbers by expressions such as π ·sin(2) , and can thus represent ...
The second generation Little Professor was designed by Mark Bailey, now a full life-sized professor, whilst working for Raffo and Pape, an award-winning toy design consultancy based in the UK. In a brief interview in 2013 Bailey stated 'I've designed everything from private jets to pregnancy tests but Little Professor remains the highlight of ...
Names of larger numbers, however, have a tenuous, artificial existence, rarely found outside definitions, lists, and discussions of how large numbers are named. Even well-established names like sextillion are rarely used, since in the context of science, including astronomy, where such large numbers often occur, they are nearly always written ...
In mathematics, Knuth's up-arrow notation is a method of notation for very large integers, introduced by Donald Knuth in 1976. [1]In his 1947 paper, [2] R. L. Goodstein introduced the specific sequence of operations that are now called hyperoperations.
The system consists of a number of readily memorized operations that allow one to perform arithmetic computations very quickly. It was developed by the Russian engineer Jakow Trachtenberg in order to keep his mind occupied while being in a Nazi concentration camp. The rest of this article presents some methods devised by Trachtenberg.
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2008 Proofs that various Mersenne numbers with around ten million digits are prime. Calculations of large numbers of digits of π. 2010 Showing that the Rubik's Cube can be solved in 20 moves. 2012 Showing that Sudoku needs at least 17 clues. 2013 Ternary Goldbach conjecture: Every odd number greater than 5 can be expressed as the sum of three ...