What is the 5664th prime number?
The 5664th prime number is 55817. The next prime is 55819 (a gap of 2) and the one before is 55813.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 5664th one is 55817.
- 2
55817 is prime because no prime up to ā55817 ā 236.26 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5664th prime is close to 5664 Ć ln(5664) ā 48948, and here it is 55817.
- 4
55817 is a twin prime: 55817 and 55819 are both prime.
Primes around the 5664th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5661 | 55799 | 6 |
| 5662 | 55807 | 8 |
| 5663 | 55813 | 6 |
| 5664 | 55817 | 4 |
| 5665 | 55819 | 2 |
| 5666 | 55823 | 4 |
| 5667 | 55829 | 6 |
Questions
What is the 5664th prime number?
55817.
Which prime number is 55817?
55817 is the 5664th prime number.
What is the sum of the first 5664 primes?
149,105,311.