Prime Numbers Between Integers Calculator

Find all prime numbers between two integers. Prime Numbers Between Integers Calculator can be used to identify prime numbers in a specified range.

Input Parameters

Calculation Results

Prime Numbers Found

Total Prime Numbers: 0

Calculation Formula

Prime numbers between and are those numbers greater than 1 that have no positive divisors other than 1 and themselves.

Where:
- A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers.
- The Sieve of Eratosthenes algorithm is used to efficiently find prime numbers in a range.

Prime Numbers Between Integers Calculator Usage Guide

Learn how to use the Prime Numbers Between Integers Calculator and its working principles

How to Use

  1. Enter the start number in the "Start Number" field.
  2. Enter the end number in the "End Number" field.
  3. Click the "Calculate" button to find all prime numbers between the two specified integers.
  4. The results will display all prime numbers found and the total count.

Working Principle

This calculator uses the Sieve of Eratosthenes algorithm to efficiently find prime numbers in a specified range. The algorithm works by:

  1. Creating a list of consecutive integers from 2 to the specified end number.
  2. Starting from the first prime number (2), eliminating all its multiples.
  3. Moving to the next available number and repeating the process until reaching the square root of the end number.
  4. Any numbers remaining in the list are prime numbers.

Example

If you enter 10 as the start number and 50 as the end number, the calculator will find and display all prime numbers between 10 and 50, which are: 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47.

Notes

  • The calculator assumes that the start number is less than or equal to the end number.
  • The calculator includes the start number in the range if it is prime.
  • For very large ranges, the calculation may take some time to complete.