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Tag: prime number

Factorizer

Factorizer

Scritto il May 5, 2021May 6, 2021
Pubblicato inNumber theory
This page allows performing the decomposition of a number into its prime factors, and computing the value of some arithmetic…
The Prime Number Theorem: history and statement

The Prime Number Theorem: history and statement

Scritto il July 11, 2020December 22, 2020
Pubblicato inFun facts , Number theory
Looking at a prime numbers table, it's very simple to notice how their distribution seems to escape any regularity; instead…
The factorial function and the Λ* function

The factorial function and the Λ* function

Scritto il April 10, 2020June 19, 2021
Pubblicato inNumber theory
Almost certainly you already know the factorial function, indicated by x!, which is read as "x factorial" and for an…
Our proof strategies: an overview

Our proof strategies: an overview

Scritto il December 18, 2019November 20, 2020
Pubblicato inDashed line theory , Goldbach's conjecture
Prerequisites: Goldbach’s conjecture From prime numbers to dashed lines Periodicity and symmetry in linear dashed lines As already stated, our…
Chebyshev’s Theorem (weak version)

Chebyshev’s Theorem (weak version)

Scritto il March 23, 2019December 22, 2020
Pubblicato inNumber theory
With this post we begin an analytical study of the function pi(x), that returns the number of primes less than…
The product of the first prime numbers: an underestimation

The product of the first prime numbers: an underestimation

Scritto il March 22, 2019February 4, 2021
Pubblicato inNumber theory
We saw that the product of the first prime numbers can be overestimated by a function of exponential kind with…
The least common multiple of the first positive integers

The least common multiple of the first positive integers

Scritto il January 25, 2019September 13, 2022
Pubblicato inNumber theory
We know that a way to compute the least common multiple between two or more integer numbers is based on…
1. From prime numbers to dashed lines

1. From prime numbers to dashed lines

Scritto il December 20, 2018March 29, 2020
Pubblicato inDashed line theory
A dashed line can be represented as a table having a fixed number of rows, and, potentially, infinite columns, numbered…
The product of the first prime numbers: an overestimation

The product of the first prime numbers: an overestimation

Scritto il December 15, 2018December 22, 2020
Pubblicato inNumber theory
A way to start investigating the sequence of prime numbers is to consider, starting from the beginning, portions of increasing…
The definition of prime number

The definition of prime number

Scritto il December 14, 2018May 7, 2021
Pubblicato inNumber theory
We'll start our study of prime numbers explaining the definition of prime number. It's commonly known that a prime number…
Some important results

Some important results

Scritto il December 13, 2018January 12, 2023
Pubblicato inGoldbach's conjecture , Number theory
The statement phrased by Christian Goldbach is a "conjecture", so, as a matter of principle, it is a hypothesis. This…

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  • order of magnitude
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  • dashed line
  • prime number
  • distance between spaces
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  • Möbius function
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      • Home
      • Goldbach’s conjecture
        • Origins of the two Goldbach’s conjectures
        • Some important results
        • Other conjectures related to sums of primes
        • Our proof strategies
        • Our readers’ contributions
          • Send us a contribution
      • Number theory
        • Foundations of number theory
        • Bertrand’s Postulate
        • Chebyshev’s Theorem (weak version)
        • Chebyshev’s Theorem (strong version)
        • The Prime Number Theorem: the “elementary” proof
        • Complementary material
        • Fun facts
      • Dashed line theory
      • Tools
        • Dashed line viewer
        • Goldbach pairs viewer
        • Bidimensional sieve of Eratosthenes
        • Factorizer
        • Maximum space distance calculator
      • Info and contacts
        • About us
        • The project
        • Donations
        • Prizes
        • Send us a contribution
      • ItalianoItaliano