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Proth's theorem - MaRDI portal

Proth's theorem (Q6481818)

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primality test for Proth numbers

Language	Label	Description	Also known as
English	Proth's theorem	primality test for Proth numbers

Statements

1 reference

imported from Wikimedia project

English Wikipedia

0 references

François Proth

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publication date

1878

0 references

François Proth

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copyright status

applies to jurisdiction

United States of America

determination method

published more than 95 years ago

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defining formula

(\forall p\in \mathbb {Z} ^{+})(\exists a,k,n)p=k\cdot 2^{n}+1\land k\nmid 2\land k<2^{n}\land a^{k2^{n-1}}\equiv -1{\pmod {p}}\Rightarrow p{\text{ is prime}}

0 references

(\exists a)a^{\frac {p-1}{2}}\equiv -1{\pmod {p}}\Rightarrow p{\text{ is prime}}

reason for preferred rank

generally used form

0 references

in defining formula

p

symbol represents

0 references

list of theorems

language of work or name

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Identifiers

/m/08_n3k

1 reference

Freebase Data Dumps

publication date

28 October 2013

ProthsTheorem

1 reference

imported from Wikimedia project

English Wikipedia

ProthsTheorem

subject named as

Proth's Theorem

1 reference

imported from Wikimedia project

English Wikipedia

Microsoft Academic ID

2777453196

0 references

0 references

Sitelinks

Mathematics(0 entries)

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