The Largest Known Primes

Are you looking for the largest known primes? Lists of records? Information on who finds the biggest primes (and how?) You are at the right place! Here we keep the list of the 5000 largest known primes, updated hourly (hundreds of new primes are submitted every month). We are the world's primary source to the current prime number records.

The current list of primes
- One page summary (introduction and a few records)
- Downloading the list of the largest known primes
- Search the database of primes
- The Top 20 Primes of Selected Forms
Background information
- A short introduction to primes
- How do you prove large numbers are prime?
- How can I find a record prime? (current top programs)
- What projects might I join? current top projects
Tell me more!
- The Prime Glossary -- definitions of prime terms
- Answers to frequently asked questions
- Prime Curios! amazing and odd facts about prime numbers
- Who found these primes?

Note: these are the largest known primes--so they are very big (most have hundreds of thousands of digits!) If you want smaller primes, say the first ten thousand primes or first hundred million primes, see lists of small primes.

Table 'prime': 135589 entries, last updated: 7/9/2025 at 5:37 UTC.: Total data length 12596496 bytes (average prime entry length 92 Dynamic) This table stores the list of primes
Table 'person': 4385 entries, last updated: 7/9/2025 at 3:37 UTC.: Total data length 908200 bytes (average person entry length 207 Dynamic) This table stores the list of persons, programs and projects
Table 'log': 99326 entries, last updated: 7/9/2025 at 3:00 UTC.: Total data length 18692760 bytes (average log entry length 188 Dynamic) Logs changes to the database
Table 'code': 7544 entries, last updated: 7/9/2025 at 5:37 UTC.: Total data length 2554804 bytes (average code entry length 338 Dynamic) This table stores links from the codes to the provers
Table 'archival_tag': 28940 entries, last updated: 7/8/2025 at 12:37 UTC.: Total data length 1781712 bytes (average archival_tag entry length 61 Dynamic) Tags to indicate type of prime, class rank and weights...
Combined size:: 36,533,972 bytes