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Prime number and Prime-counting function

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

Difference between Prime number and Prime-counting function

Prime number vs. Prime-counting function

A prime number (or a prime) is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers. In mathematics, the prime-counting function is the function counting the number of prime numbers less than or equal to some real number x. It is denoted by (x) (unrelated to the number pi).

Similarities between Prime number and Prime-counting function

Prime number and Prime-counting function have 16 things in common (in Unionpedia): Asymptotic analysis, Big O notation, Charles Jean de la Vallée Poussin, Explicit formulae (L-function), Floor and ceiling functions, Jacques Hadamard, Logarithmic integral function, Mathematics of Computation, Number theory, Oppermann's conjecture, Prime number theorem, Prime Pages, Real number, Riemann hypothesis, Riemann zeta function, Sieve of Eratosthenes.

Asymptotic analysis

In mathematical analysis, asymptotic analysis, also known as asymptotics, is a method of describing limiting behavior.

Asymptotic analysis and Prime number · Asymptotic analysis and Prime-counting function · See more »

Big O notation

Big O notation is a mathematical notation that describes the limiting behaviour of a function when the argument tends towards a particular value or infinity.

Big O notation and Prime number · Big O notation and Prime-counting function · See more »

Charles Jean de la Vallée Poussin

Charles-Jean Étienne Gustave Nicolas Le Vieux, Baron de la Vallée Poussin (14 August 1866 – 2 March 1962) was a Belgian mathematician.

Charles Jean de la Vallée Poussin and Prime number · Charles Jean de la Vallée Poussin and Prime-counting function · See more »

Explicit formulae (L-function)

In mathematics, the explicit formulae for L-functions are relations between sums over the complex number zeroes of an L-function and sums over prime powers, introduced by for the Riemann zeta function.

Explicit formulae (L-function) and Prime number · Explicit formulae (L-function) and Prime-counting function · See more »

Floor and ceiling functions

In mathematics and computer science, the floor function is the function that takes as input a real number x and gives as output the greatest integer less than or equal to x, denoted \operatorname(x).

Floor and ceiling functions and Prime number · Floor and ceiling functions and Prime-counting function · See more »

Jacques Hadamard

Jacques Salomon Hadamard ForMemRS (8 December 1865 – 17 October 1963) was a French mathematician who made major contributions in number theory, complex function theory, differential geometry and partial differential equations.

Jacques Hadamard and Prime number · Jacques Hadamard and Prime-counting function · See more »

Logarithmic integral function

In mathematics, the logarithmic integral function or integral logarithm li(x) is a special function.

Logarithmic integral function and Prime number · Logarithmic integral function and Prime-counting function · See more »

Mathematics of Computation

Mathematics of Computation is a bimonthly mathematics journal focused on computational mathematics.

Mathematics of Computation and Prime number · Mathematics of Computation and Prime-counting function · 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.

Number theory and Prime number · Number theory and Prime-counting function · See more »

Oppermann's conjecture

Oppermann's conjecture is an unsolved problem in mathematics on the distribution of prime numbers.

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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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Prime Pages

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

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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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Riemann zeta function

The Riemann zeta function or Euler–Riemann zeta function,, is a function of a complex variable s that analytically continues the sum of the Dirichlet series which converges when the real part of is greater than 1.

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Sieve of Eratosthenes

In mathematics, the sieve of Eratosthenes is a simple, ancient algorithm for finding all prime numbers up to any given limit.

Prime number and Sieve of Eratosthenes · Prime-counting function and Sieve of Eratosthenes · See more »

The list above answers the following questions

Prime number and Prime-counting function Comparison

Prime number has 340 relations, while Prime-counting function has 49. As they have in common 16, the Jaccard index is 4.11% = 16 / (340 + 49).

References

This article shows the relationship between Prime number and Prime-counting function. To access each article from which the information was extracted, please visit:

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