Search results
Results From The WOW.Com Content Network
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.
A factorial x! is the product of all numbers from 1 to x. The first: 1, 2, 6, 24, 120, 720, 5040, 40320, 362880, 3628800, 39916800, 479001600 (sequence A000142 in the OEIS). 0! = 1 is sometimes included. A k-smooth number (for a natural number k) has its prime factors ≤ k (so it is also j-smooth for any j > k).
A cluster prime is a prime p such that every even natural number k ≤ p − 3 is the ... 109, 193, 433, 769 ... This means all digits except the middle digit are ...
The first ordinal number that is not a natural number is expressed as ω; this is also the ordinal number of the set of natural numbers itself. The least ordinal of cardinality ℵ 0 (that is, the initial ordinal of ℵ 0 ) is ω but many well-ordered sets with cardinal number ℵ 0 have an ordinal number greater than ω .
An emirp (an anadrome of prime) is a prime number that results in a different prime when its decimal digits are reversed. [1] This definition excludes the related palindromic primes . The term reversible prime is used to mean the same as emirp, but may also, ambiguously, include the palindromic primes.
The natural numbers < are trivial narcissistic numbers for all , all other narcissistic numbers are nontrivial narcissistic numbers. For example, the number 153 in base b = 10 {\displaystyle b=10} is a narcissistic number, because k = 3 {\displaystyle k=3} and 153 = 1 3 + 5 3 + 3 3 {\displaystyle 153=1^{3}+5^{3}+3^{3}} .
In a positional base b numeral system (with b a natural number greater than 1 known as the radix or base of the system), b basic symbols (or digits) corresponding to the first b natural numbers including zero are used. To generate the rest of the numerals, the position of the symbol in the figure is used.
Continue removing the nth remaining numbers, where n is the next number in the list after the last surviving number. Next in this example is 9. One way that the application of the procedure differs from that of the Sieve of Eratosthenes is that for n being the number being multiplied on a specific pass, the first number eliminated on the pass is the n-th remaining number that has not yet been ...