List of Prime Numbers

Enter a limit to list every prime number up to it, with the count and twin prime pairs.

Examples:3050100200

There are 25 prime numbers up to 100.

Prime numbers from 1 to 100

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97

Quick facts

  • Largest prime up to 100: 97
  • Sum of these primes: 1,060
  • Twin prime pairs: 8

List of Prime Numbers

A prime number is a whole number greater than 1 whose only factors are 1 and itself. The first primes are 2, 3, 5, 7, 11, 13, 17, 19, 23 and 29. This tool lists every prime up to any limit you choose.

How to Use This Prime Number List

  1. Type a limit, such as 100, into the box.
  2. Press Calculate to see every prime up to that limit, the count, the largest prime, the sum and the twin prime pairs.

How to List Primes: the Sieve of Eratosthenes

  1. Write the numbers from 2 up to your limit.
  2. Circle 2, then cross out every multiple of 2.
  3. Circle the next number left, 3, and cross out its multiples.
  4. Repeat. The circled numbers are the primes.
Handwritten notebook page listing the 25 prime numbers up to 100
There are 25 primes up to 100, from 2 to 97.

Twin Primes

Twin primes are pairs of primes that differ by 2, like 11 and 13 or 29 and 31. Up to 100 there are 8 such pairs.

Handwritten notebook page listing the 15 prime numbers up to 50
There are 15 primes up to 50, from 2 to 47.

Worked Examples

Common mistakes

Prime Number List FAQs

What are the prime numbers up to 100?

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89 and 97. There are 25 of them.

How many prime numbers are there up to 50?

There are 15 primes up to 50: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43 and 47.

What is a prime number?

A prime number is a whole number greater than 1 with exactly two factors, 1 and itself.

Is 1 a prime number?

No. 1 has only one factor, itself, so it is neither prime nor composite.

Is 2 a prime number?

Yes. 2 is the smallest prime and the only even prime. Every other even number is divisible by 2.

How do you list prime numbers?

Use the Sieve of Eratosthenes. Write the numbers from 2 up to your limit, cross out every multiple of 2, then of 3, then of the next number left, and so on. The numbers not crossed out are the primes.

What are twin primes?

Twin primes are two primes that differ by 2, such as 11 and 13 or 29 and 31.

What is the largest limit I can use?

You can list the primes up to 100,000.

More Worked Examples

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