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Formula for primes and Prime number

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

Difference between Formula for primes and Prime number

Formula for primes vs. Prime number

In number theory, a formula for primes is a formula generating the prime numbers, exactly and without exception. A prime number (or a prime) is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers.

Similarities between Formula for primes and Prime number

Formula for primes and Prime number have 21 things in common (in Unionpedia): American Mathematical Monthly, American Mathematical Society, Composite number, Coprime integers, Diophantine equation, Dirichlet's theorem on arithmetic progressions, E. M. Wright, Green–Tao theorem, Heegner number, Leonhard Euler, Mills' constant, Natural number, Number theory, Polynomial, Prime number theorem, Quadratic function, Real number, Riemann hypothesis, The Mathematical Gazette, Ulam spiral, Wilson's theorem.

American Mathematical Monthly

The American Mathematical Monthly is a mathematical journal founded by Benjamin Finkel in 1894.

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American Mathematical Society

The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, advocacy and other programs.

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Composite number

A composite number is a positive integer that can be formed by multiplying together two smaller positive integers.

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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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Diophantine equation

In mathematics, a Diophantine equation is a polynomial equation, usually in two or more unknowns, such that only the integer solutions are sought or studied (an integer solution is a solution such that all the unknowns take integer values).

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Dirichlet's theorem on arithmetic progressions

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.

Dirichlet's theorem on arithmetic progressions and Formula for primes · Dirichlet's theorem on arithmetic progressions and Prime number · See more »

E. M. Wright

Sir Edward Maitland Wright, FRSE (13 February 1906, Farnley – 2 February 2005, Reading) was an English mathematician, best known for co-authoring An Introduction to the Theory of Numbers with G. H. Hardy.

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Green–Tao theorem

In number theory, the Green–Tao theorem, proved by Ben Green and Terence Tao in 2004, states that the sequence of prime numbers contains arbitrarily long arithmetic progressions.

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Heegner number

In number theory, a Heegner number (as termed by Conway and Guy) is a square-free positive integer d such that the imaginary quadratic field \mathbb has class number 1.

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Leonhard Euler

Leonhard Euler (Swiss Standard German:; German Standard German:; 15 April 170718 September 1783) was a Swiss mathematician, physicist, astronomer, logician and engineer, who made important and influential discoveries in many branches of mathematics, such as infinitesimal calculus and graph theory, while also making pioneering contributions to several branches such as topology and analytic number theory.

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Mills' constant

In number theory, Mills' constant is defined as the smallest positive real number A such that the floor function of the double exponential function is a prime number, for all natural numbers n. This constant is named after William H. Mills who proved in 1947 the existence of A based on results of Guido Hoheisel and Albert Ingham on the prime gaps.

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Natural number

In mathematics, the natural numbers are those used for counting (as in "there are six coins on the table") and ordering (as in "this is the third largest city in the country").

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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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Polynomial

In mathematics, a polynomial is an expression consisting of variables (also called indeterminates) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables.

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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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Quadratic function

In algebra, a quadratic function, a quadratic polynomial, a polynomial of degree 2, or simply a quadratic, is a polynomial function in one or more variables in which the highest-degree term is of the second degree.

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Real number

In mathematics, a real number is a value of a continuous quantity that can represent a distance along a line.

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Riemann hypothesis

In mathematics, the Riemann hypothesis is a conjecture that the Riemann zeta function has its zeros only at the negative even integers and complex numbers with real part.

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The Mathematical Gazette

The Mathematical Gazette is an academic journal of mathematics education, published three times yearly, that publishes "articles about the teaching and learning of mathematics with a focus on the 15–20 age range and expositions of attractive areas of mathematics." It was established in 1894 by Edward Mann Langley as the successor to the Reports of the Association for the Improvement of Geometrical Teaching.

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Ulam spiral

The Ulam spiral or prime spiral (in other languages also called the Ulam cloth) is a graphical depiction of the set of prime numbers, devised by mathematician Stanislaw Ulam in 1963 and popularized in Martin Gardner's Mathematical Games column in Scientific American a short time later.

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Wilson's theorem

In number theory, Wilson's theorem states that a natural number n > 1 is a prime number if and only if the product of all the positive integers less than n is one less than a multiple of n. That is (using the notations of modular arithmetic), one has that the factorial (n - 1)!.

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The list above answers the following questions

Formula for primes and Prime number Comparison

Formula for primes has 37 relations, while Prime number has 340. As they have in common 21, the Jaccard index is 5.57% = 21 / (37 + 340).

References

This article shows the relationship between Formula for primes and Prime number. To access each article from which the information was extracted, please visit:

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