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Repunit

Index Repunit

In recreational mathematics, a repunit is a number like 11, 111, or 1111 that contains only the digit 1 — a more specific type of repdigit. [1]

41 relations: All one polynomial, Aurifeuillean factorization, Édouard Lucas, Base (exponentiation), Binary number, Coprime integers, Cunningham project, Cyclotomic polynomial, Decimal, E (mathematical constant), Euclidean algorithm, Euler–Mascheroni constant, Feit–Thompson conjecture, Goormaghtigh conjecture, Great Indian Peninsula Railway, Harvey Dubner, Integer factorization, Logarithm, Mersenne prime, Negative base, Nth root, Number, On-Line Encyclopedia of Integer Sequences, Perfect power, Permutable prime, Permutation, Pigeonhole principle, Prime number, Prime number theorem, Prime Pages, Prime power, Probable prime, Recreational mathematics, Repdigit, Repeating decimal, Wagstaff prime, 1, 11 (number), 111 (number), 19 (number), 73 (number).

All one polynomial

An all one polynomial (AOP) is a polynomial in which all coefficients are one.

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Aurifeuillean factorization

In number theory, an aurifeuillean factorization, or aurifeuillian factorization, named after Léon-François-Antoine Aurifeuille, is a special type of algebraic factorization that comes from non-trivial factorizations of cyclotomic polynomials over the integers.

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Édouard Lucas

François Édouard Anatole Lucas (4 April 1842 – 3 October 1891) was a French mathematician.

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Base (exponentiation)

In exponentiation, the base is the number b in an expression of the form bn.

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Binary number

In mathematics and digital electronics, a binary number is a number expressed in the base-2 numeral system or binary numeral system, which uses only two symbols: typically 0 (zero) and 1 (one).

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Coprime integers

In number theory, two integers and are said to be relatively prime, mutually prime, or coprime (also written co-prime) if the only positive integer (factor) that divides both of them is 1.

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Cunningham project

The Cunningham project is a project, started in 1925, to factor numbers of the form bn ± 1 for b.

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Cyclotomic polynomial

In mathematics, more specifically in algebra, the nth cyclotomic polynomial, for any positive integer n, is the unique irreducible polynomial with integer coefficients that is a divisor of x^n-1 and is not a divisor of x^k-1 for any.

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Decimal

The decimal numeral system (also called base-ten positional numeral system, and occasionally called denary) is the standard system for denoting integer and non-integer numbers.

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E (mathematical constant)

The number is a mathematical constant, approximately equal to 2.71828, which appears in many different settings throughout mathematics.

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Euclidean algorithm

. EXAMPLES CAN BE FOUND BELOW, E.G., IN THE "Matrix method" SECTION.

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Euler–Mascheroni constant

The Euler–Mascheroni constant (also called Euler's constant) is a mathematical constant recurring in analysis and number theory, usually denoted by the lowercase Greek letter gamma.

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Feit–Thompson conjecture

In mathematics, the Feit–Thompson conjecture is a conjecture in number theory, suggested by.

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Goormaghtigh conjecture

In mathematics, the Goormaghtigh conjecture is a conjecture in number theory named for the Belgian mathematician René Goormaghtigh.

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Great Indian Peninsula Railway

The Great Indian Peninsula Railway was a predecessor of the Central Railway, whose headquarters was at the Boree Bunder in Mumbai (later, the Victoria Terminus and presently the Chhatrapati Shivaji Terminus).

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Harvey Dubner

Harvey Dubner is a retired engineer and mathematician living in New Jersey, noted for his contributions to finding large prime numbers.

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Integer factorization

In number theory, integer factorization is the decomposition of a composite number into a product of smaller integers.

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Logarithm

In mathematics, the logarithm is the inverse function to exponentiation.

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Mersenne prime

In mathematics, a Mersenne prime is a prime number that is one less than a power of two.

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Negative base

A negative base (or negative radix) may be used to construct a non-standard positional numeral system.

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Nth root

In mathematics, an nth root of a number x, where n is usually assumed to be a positive integer, is a number r which, when raised to the power n yields x: where n is the degree of the root.

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Number

A number is a mathematical object used to count, measure and also label.

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On-Line Encyclopedia of Integer Sequences

The On-Line Encyclopedia of Integer Sequences (OEIS), also cited simply as Sloane's, is an online database of integer sequences.

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Perfect power

In mathematics, a perfect power is a positive integer that can be expressed as an integer power of another positive integer.

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Permutable prime

A permutable prime, also known as anagrammatic prime, is a prime number which, in a given base, can have its digits' positions switched through any permutation and still be a prime number.

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Permutation

In mathematics, the notion of permutation relates to the act of arranging all the members of a set into some sequence or order, or if the set is already ordered, rearranging (reordering) its elements, a process called permuting.

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Pigeonhole principle

In mathematics, the pigeonhole principle states that if items are put into containers, with, then at least one container must contain more than one item.

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Prime number

A prime number (or a prime) is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers.

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Prime number theorem

In number theory, the prime number theorem (PNT) describes the asymptotic distribution of the prime numbers among the positive integers.

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Prime Pages

The Prime Pages is a website about prime numbers maintained by Chris Caldwell at the University of Tennessee at Martin.

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Prime power

In mathematics, a prime power is a positive integer power of a single prime number.

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Probable prime

In number theory, a probable prime (PRP) is an integer that satisfies a specific condition that is satisfied by all prime numbers, but which is not satisfied by most composite numbers.

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Recreational mathematics

Recreational mathematics is mathematics carried out for recreation (entertainment) rather than as a strictly research and application-based professional activity.

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Repdigit

In recreational mathematics, a repdigit or sometimes monodigit is a natural number composed of repeated instances of the same digit in a positional number system (often implicitly decimal).

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Repeating decimal

A repeating or recurring decimal is decimal representation of a number whose digits are periodic (repeating its values at regular intervals) and the infinitely-repeated portion is not zero.

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Wagstaff prime

In number theory, a Wagstaff prime is a prime number p of the form where q is an odd prime.

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1

1 (one, also called unit, unity, and (multiplicative) identity) is a number, numeral, and glyph.

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11 (number)

11 (eleven) is the natural number following 10 and preceding 12.

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111 (number)

111 (One hundred eleven) is the natural number following 110 and preceding 112.

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19 (number)

19 (nineteen) is the natural number following 18 and preceding 20.

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73 (number)

73 (seventy-three) is the natural number following 72 and preceding 74.

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Redirects here:

Demlo number, Repeated unit, Repunit prime.

References

[1] https://en.wikipedia.org/wiki/Repunit

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