Open.Numeric.Primes 3.1.0

dotnet add package Open.Numeric.Primes --version 3.1.0
NuGet\Install-Package Open.Numeric.Primes -Version 3.1.0
This command is intended to be used within the Package Manager Console in Visual Studio, as it uses the NuGet module's version of Install-Package.
<PackageReference Include="Open.Numeric.Primes" Version="3.1.0" />
For projects that support PackageReference, copy this XML node into the project file to reference the package.
paket add Open.Numeric.Primes --version 3.1.0
#r "nuget: Open.Numeric.Primes, 3.1.0"
#r directive can be used in F# Interactive and Polyglot Notebooks. Copy this into the interactive tool or source code of the script to reference the package.
// Install Open.Numeric.Primes as a Cake Addin
#addin nuget:?package=Open.Numeric.Primes&version=3.1.0

// Install Open.Numeric.Primes as a Cake Tool
#tool nuget:?package=Open.Numeric.Primes&version=3.1.0


Methods and extensions for prime number detection and discovery.




using Open.Numeric.Primes;

Primality Test

Number.IsPrime(8592868089022906369); // true


Prime.Factors(12); // 2, 2, 3

Common Factors

Prime.CommonFactors(84, 756, 108); // 2, 2, 3

Greatest Factor

Prime.GreatestFactor(84, 756, 108); // 12

Prime Discovery

// Will list the first 1000 primes.
foreach(var prime in Prime.Numbers.Take(1000))


// Will list the first 1000 primes greater than (or equal to) 10,000.
foreach(var prime in Prime.Numbers.StartingAt(10000).Take(100))


Extensions are also available for integer types.

using Open.Numeric.Primes.Extensions;

8592868089022906369.IsPrime(); // true
Product Compatible and additional computed target framework versions.
.NET net5.0 was computed.  net5.0-windows was computed.  net6.0 was computed.  net6.0-android was computed.  net6.0-ios was computed.  net6.0-maccatalyst was computed.  net6.0-macos was computed.  net6.0-tvos was computed.  net6.0-windows was computed.  net7.0 is compatible.  net7.0-android was computed.  net7.0-ios was computed.  net7.0-maccatalyst was computed.  net7.0-macos was computed.  net7.0-tvos was computed.  net7.0-windows was computed.  net8.0 was computed.  net8.0-android was computed.  net8.0-browser was computed.  net8.0-ios was computed.  net8.0-maccatalyst was computed.  net8.0-macos was computed.  net8.0-tvos was computed.  net8.0-windows was computed. 
.NET Core netcoreapp2.0 was computed.  netcoreapp2.1 was computed.  netcoreapp2.2 was computed.  netcoreapp3.0 was computed.  netcoreapp3.1 was computed. 
.NET Standard netstandard2.0 is compatible.  netstandard2.1 is compatible. 
.NET Framework net461 was computed.  net462 was computed.  net463 was computed.  net47 was computed.  net471 was computed.  net472 was computed.  net48 was computed.  net481 was computed. 
MonoAndroid monoandroid was computed. 
MonoMac monomac was computed. 
MonoTouch monotouch was computed. 
Tizen tizen40 was computed.  tizen60 was computed. 
Xamarin.iOS xamarinios was computed. 
Xamarin.Mac xamarinmac was computed. 
Xamarin.TVOS xamarintvos was computed. 
Xamarin.WatchOS xamarinwatchos was computed. 
Compatible target framework(s)
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NuGet packages (4)

Showing the top 4 NuGet packages that depend on Open.Numeric.Primes:

Package Downloads

A framework for evaluating complex formulas. Part of the "Open" set of libraries.


.NET implementation of radical expressions enabling radical expression arithmetic.


`Recyclable.Collections.TestData` project is a basic open source package for containing test data useful for testing collections like `RecyclableList<T>`, `RecyclableLongList<T>`, `List<T>`, `SortableList<T>`, `PriorityQueue<T>` & similar.


`Recyclable.Collections.TestData.xUnit` project is a basic open source package for working with repeatable xUnit test data useful for testing collections like `RecyclableList<T>`, `RecyclableLongList<T>`, `List<T>`, `SortableList<T>`, `PriorityQueue<T>` & similar.

GitHub repositories

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Version Downloads Last updated
3.1.0 293 12/15/2023
3.0.0 1,376 2/5/2023
2.0.2 2,309 4/16/2022
2.0.1 22,334 7/4/2021
2.0.0 747 8/23/2020
1.6.0 513 7/17/2020
1.5.5 945 1/4/2020
1.5.4 592 7/5/2019
1.5.3 502 7/4/2019
1.3.0 1,061 1/4/2018
1.2.2 1,068 11/4/2017
1.1.0 1,076 9/26/2017
1.0.1 1,056 9/25/2017
1.0.0 1,106 9/25/2017