Logo
Unionpedia
Communication
Get it on Google Play
New! Download Unionpedia on your Android™ device!
Download
Faster access than browser!
 

Proth number

Index Proth number

In number theory, a Proth number, named after the mathematician François Proth, is a number of the form where k is an odd positive integer and n is a positive integer such that 2^n > k. Without the latter condition, all odd integers greater than 1 would be Proth numbers. [1]

15 relations: Brady Haran, Cullen number, Distributed computing, Fermat number, François Proth, Integer, Mersenne prime, Number theory, Parity (mathematics), Pierpont prime, Prime number, Prime Pages, PrimeGrid, Proth's theorem, Sierpinski number.

Brady Haran

Brady John Haran (born 18 June 1976) is an Australian-born British independent filmmaker and video journalist who is known for his educational videos and documentary films produced for BBC News and his YouTube channels, the most notable being Periodic Videos and Numberphile.

New!!: Proth number and Brady Haran · See more »

Cullen number

In mathematics, a Cullen number is a natural number of the form n \cdot 2^n + 1 (written C_n).

New!!: Proth number and Cullen number · See more »

Distributed computing

Distributed computing is a field of computer science that studies distributed systems.

New!!: Proth number and Distributed computing · See more »

Fermat number

In mathematics a Fermat number, named after Pierre de Fermat who first studied them, is a positive integer of the form where n is a nonnegative integer.

New!!: Proth number and Fermat number · See more »

François Proth

François Proth (1852 – 1879) was a French self-taught mathematician farmer who lived in Vaux-devant-Damloup near Verdun, France.

New!!: Proth number and François Proth · See more »

Integer

An integer (from the Latin ''integer'' meaning "whole")Integer 's first literal meaning in Latin is "untouched", from in ("not") plus tangere ("to touch").

New!!: Proth number and Integer · See more »

Mersenne prime

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

New!!: Proth number and Mersenne prime · See more »

Number theory

Number theory, or in older usage arithmetic, is a branch of pure mathematics devoted primarily to the study of the integers.

New!!: Proth number and Number theory · See more »

Parity (mathematics)

In mathematics, parity is the property of an integer's inclusion in one of two categories: even or odd.

New!!: Proth number and Parity (mathematics) · See more »

Pierpont prime

A Pierpont prime is a prime number of the form for some nonnegative integers and.

New!!: Proth number and Pierpont prime · See more »

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.

New!!: Proth number and Prime number · See more »

Prime Pages

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

New!!: Proth number and Prime Pages · See more »

PrimeGrid

PrimeGrid is a volunteer distributed computing project searching for prime numbers of world-record size.

New!!: Proth number and PrimeGrid · See more »

Proth's theorem

In number theory, Proth's theorem is a primality test for Proth numbers.

New!!: Proth number and Proth's theorem · See more »

Sierpinski number

In number theory, a Sierpinski or Sierpiński number is an odd natural number k such that k \times 2^n + 1 is composite, for all natural numbers n. In 1960, Wacław Sierpiński proved that there are infinitely many odd integers k which have this property.

New!!: Proth number and Sierpinski number · See more »

Redirects here:

Proth numbers, Proth prime, Proth primes.

References

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

OutgoingIncoming
Hey! We are on Facebook now! »