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A natural number is divisible by three if the sum of its digits in base 10 is divisible by 3. For example, the number 21 is divisible by three (3 times 7) and the sum of its digits is 2 + 1 = 3. Because of this, the reverse of any number that is divisible by three (or indeed, any permutation of its digits) is also divisible by three. For ...
A list of articles about numbers (not about numerals). Topics include powers of ten, notable integers, prime and cardinal numbers, and the myriad system.
The Penguin Dictionary of Curious and Interesting Numbers is a reference book for recreational mathematics and elementary number theory written by David Wells. The first edition was published in paperback by Penguin Books in 1986 in the UK, and a revised edition appeared in 1997 ( ISBN 0-14-026149-4 ).
Famously, in a discussion between the mathematicians G. H. Hardy and Srinivasa Ramanujan about interesting and uninteresting numbers, Hardy remarked that the number 1729 of the taxicab he had ridden seemed "rather a dull one", and Ramanujan immediately answered that it is interesting, being the smallest number that is the sum of two cubes in ...
Such a number is algebraic and can be expressed as the sum of a rational number and the square root of a rational number. Constructible number: A number representing a length that can be constructed using a compass and straightedge. Constructible numbers form a subfield of the field of algebraic numbers, and include the quadratic surds.
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A notorious attempt to legislate the value of pi as 3.2. Infinite monkey theorem: An infinite number of monkeys typing on an infinite number of typewriters will (almost surely) produce all possible written texts. Interesting number paradox: Either all natural numbers are interesting or else none of them are. Kruskal's tree theorem
the 23rd prime number, following 79 (of which it is also a cousin prime) and preceding 89. a Sophie Germain prime. [1] a safe prime. [2] a Chen prime. [3] an Eisenstein prime with no imaginary part and real part of the form 3n − 1. a highly cototient number. [4] the number of primes that are right-truncatable. [5] a super-prime, because 23 is ...
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