Proth number and Sierpinski number

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Proth number and Sierpinski number

Proth number vs. Sierpinski 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. 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.

Similarities between Proth number and Sierpinski number

Proth number and Sierpinski number have 5 things in common (in Unionpedia): Brady Haran, Cullen number, Integer, Number theory, PrimeGrid.

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.

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Cullen number

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

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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").

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Number theory

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

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PrimeGrid

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

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The list above answers the following questions

What Proth number and Sierpinski number have in common
What are the similarities between Proth number and Sierpinski number

Proth number and Sierpinski number Comparison

Proth number has 15 relations, while Sierpinski number has 21. As they have in common 5, the Jaccard index is 13.89% = 5 / (15 + 21).

References

This article shows the relationship between Proth number and Sierpinski number. To access each article from which the information was extracted, please visit:

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