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A list of articles about numbers (not about numerals). Topics include powers of ten, notable integers, prime and cardinal numbers, and the myriad system.
Fourth powers are also formed by multiplying a number by its cube. Furthermore, they are squares of squares. Some people refer to n 4 as n “ tesseracted ”, “ hypercubed ”, “ zenzizenzic ”, “ biquadrate ” or “ supercubed ” instead of “to the power of 4”.
The cube of a number or any other mathematical expression is denoted by a superscript 3, for example 2 3 = 8 or (x + 1) 3. The cube is also the number multiplied by its square: n 3 = n × n 2 = n × n × n. The cube function is the function x ↦ x 3 (often denoted y = x 3) that maps a number to its cube. It is an odd function, as
The number of free polyominoes ... where the primorial p n # is the product of the first n prime numbers. A005235: Semiperfect numbers ... Cube numbers n 3: 0, 1, 8 ...
The first row has been interpreted as the prime numbers between 10 and 20 (i.e., 19, 17, 13, and 11), while a second row appears to add and subtract 1 from 10 and 20 (i.e., 9, 19, 21, and 11); the third row contains amounts that might be halves and doubles, though these are inconsistent. [14]
As cuboctahedral numbers, they represent points arranged in the shape of a cuboctahedron, and are a magic number for the face-centered cubic lattice. The centered icosahedral number for a specific n {\displaystyle n} is given by ( 2 n + 1 ) ( 5 n 2 + 5 n + 3 ) 3 . {\displaystyle {\frac {(2n+1)\left(5n^{2}+5n+3\right)}{3}}.}
A Chinese hack compromised even more U.S. telecoms than previously known, including Charter Communications, Consolidated Communications and Windstream, the Wall Street Journal reported late on ...
Numbers n such that the binomial coefficient C(2n, n) is not divisible by the square of an odd prime. Jan 1, 2001: A060001: Fibonacci(n)!. Mar 14, 2001: A066288: Number of 3-dimensional polyominoes (or polycubes) with n cells and symmetry group of order exactly 24. Jan 1, 2002: A075000: Smallest number such that n · a(n) is a concatenation of ...