Dirichlet's theorem on arithmetic progressions and Euclid's theorem

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

Difference between Dirichlet's theorem on arithmetic progressions and Euclid's theorem

Dirichlet's theorem on arithmetic progressions vs. Euclid's theorem

In number theory, Dirichlet's theorem, also called the Dirichlet prime number theorem, states that for any two positive coprime integers a and d, there are infinitely many primes of the form a + nd, where n is a non-negative integer. Euclid's theorem is a fundamental statement in number theory that asserts that there are infinitely many prime numbers.

Similarities between Dirichlet's theorem on arithmetic progressions and Euclid's theorem

Dirichlet's theorem on arithmetic progressions and Euclid's theorem have 4 things in common (in Unionpedia): Adrien-Marie Legendre, Number theory, Prime number, Prime number theorem.

Adrien-Marie Legendre

Adrien-Marie Legendre (18 September 1752 – 10 January 1833) was a French mathematician.

Adrien-Marie Legendre and Dirichlet's theorem on arithmetic progressions · Adrien-Marie Legendre and Euclid's theorem · 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.

Dirichlet's theorem on arithmetic progressions and Number theory · Euclid's theorem and Number theory · 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.

Dirichlet's theorem on arithmetic progressions and Prime number · Euclid's theorem and Prime number · See more »

Prime number theorem

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

Dirichlet's theorem on arithmetic progressions and Prime number theorem · Euclid's theorem and Prime number theorem · See more »

The list above answers the following questions

What Dirichlet's theorem on arithmetic progressions and Euclid's theorem have in common
What are the similarities between Dirichlet's theorem on arithmetic progressions and Euclid's theorem

Dirichlet's theorem on arithmetic progressions and Euclid's theorem Comparison

Dirichlet's theorem on arithmetic progressions has 42 relations, while Euclid's theorem has 37. As they have in common 4, the Jaccard index is 5.06% = 4 / (42 + 37).

References

This article shows the relationship between Dirichlet's theorem on arithmetic progressions and Euclid's theorem. To access each article from which the information was extracted, please visit:

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