Math & Algebra Tool

1000 Prime Numbers

A complete list of the first 1,000 prime numbers.

Calculating primes...

Σ The Formula

A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.

Real World Examples

First 10 Primes
2, 3, 5, 7, 11, 13, 17, 19, 23, 29
1000th Prime
7919

# About This Calculator

A prime number is a fundamental building block of number theory. It is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers. In other words, its only factors are 1 and itself.

The number 2 is the smallest prime number and the only even prime number. All other primes are odd. The distribution of primes has been a subject of intense study for centuries, including the famous Riemann Hypothesis.

The first 1,000 prime numbers range from 2 to 7,919. These numbers are essential in cryptography (like RSA encryption), computer science, and many areas of pure mathematics.

This list provides a quick reference for students and researchers. Whether you're working on a math project, verifying a factorization, or just curious about the sequence of primes, this comprehensive list is here to help.

How To Use

  1. The list of the first 1,000 prime numbers is displayed below.
  2. Use the grid to find specific primes in the sequence.

Frequently Asked Questions

What is the 1000th prime number?+

The 1,000th prime number is 7,919.

Why is 1 not a prime number?+

By definition, a prime number must have exactly two distinct factors (1 and itself). 1 only has one factor, so it is neither prime nor composite.

How many primes are there?+

Euclid proved that there are infinitely many prime numbers. There is no largest prime number.

What is the only even prime number?+

2 is the only even prime number. Any other even number is divisible by 2 and thus cannot be prime.

Is 1000 Prime Numbers free to use?+

Yes, 1000 Prime Numbers on Matheric is completely free to use. We believe in accessible education and utility for everyone.

How accurate is 1000 Prime Numbers?+

We use standard mathematical formulas and high-precision computing algorithms to ensure results for 1000 Prime Numbers are accurate for academic and professional use.

About

A prime number is a fundamental building block of number theory. It is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers. In other words, its only factors are 1 and itself.

The number 2 is the smallest prime number and the only even prime number. All other primes are odd. The distribution of primes has been a subject of intense study for centuries, including the famous Riemann Hypothesis.

The first 1,000 prime numbers range from 2 to 7,919. These numbers are essential in cryptography (like RSA encryption), computer science, and many areas of pure mathematics.

This list provides a quick reference for students and researchers. Whether you're working on a math project, verifying a factorization, or just curious about the sequence of primes, this comprehensive list is here to help.

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