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examples of recursively-definable objects include factorials, natural numbers, Fibonacci numbers, and the Cantor ternary set. A recursive definition of... |
important category of definitions is the class of ostensive definitions, which convey the meaning of a term by pointing out examples. A term may have many... |
2 (redirect from Smallest known prime number) (two) is a number, numeral and digit. It is the natural number following 1 and preceding 3. It is the smallest and only even prime number. Because it... |
ln(x) or loge(x). In mathematics, the prime number theorem (PNT) describes the asymptotic distribution of the prime numbers among the positive integers... |
articles about prime numbers. A prime number (or prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself. By Euclid's... |
Coprime integers (redirect from Relatively prime number) In number theory, two integers a and b are coprime, relatively prime or mutually prime if the only positive integer that is a divisor of both of them... |
A natural number greater than 1 that is not prime is called a composite number. For example, 5 is prime because the only ways of writing it as a product... |
regular primes, and if so, is their relative density e − 1 / 2 {\displaystyle e^{-1/2}} ? (more unsolved problems in mathematics) In number theory, a... |
1 (redirect from 1 (the number)) definition of a prime number, being evenly divisible only by 1 and itself (also 1), by convention 1 is neither a prime number nor a composite number.... |
If n is a composite number then so is 2n − 1. Therefore, an equivalent definition of the Mersenne primes is that they are the prime numbers of the form... |
12005034444292997294. A b {\displaystyle b} -happy prime is a number that is both b {\displaystyle b} -happy and prime. Unlike happy numbers, rearranging the digits... |
integer n is a prime number if and only if n Z {\displaystyle n\mathbb {Z} } is a prime ideal in Z . {\displaystyle \mathbb {Z} .} A simple example: In the ring... |
community institutions and religious facilities." Accompanying the working definition, but of disputed status, are 11 illustrative examples whose purpose is... |
definition of gn every prime can be written as p n + 1 = 2 + ∑ i = 1 n g i . {\displaystyle p_{n+1}=2+\sum _{i=1}^{n}g_{i}.} The first, smallest, and... |
number is a fundamental property of number theory and is therefore not dependent on legal definitions of any particular jurisdiction. The large prime... |
prime if it is not the zero element or a unit and whenever p divides ab for some a and b in R, then p divides a or p divides b. With this definition,... |
A number is a mathematical object used to count, measure, and label. The most basic examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers... |
either 1 or a prime number. However, it is strictly weaker. For example, −2 is not a prime number because it is negative, but it is a prime element. If... |
Such definitions are not circular as long as they terminate. Dictionary entries are often given as examples of apparent circular definitions. Dictionary... |
Arithmetic function (redirect from Number-theoretic function) not fit this definition, for example, the prime-counting functions. This article provides links to functions of both classes. An example of an arithmetic... |