What is the 5665th prime number?
The 5665th prime number is 55819. The next prime is 55823 (a gap of 4) and the one before is 55817.
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 5665th one is 55819.
- 2
55819 is prime because no prime up to ā55819 ā 236.26 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 5665th prime is close to 5665 Ć ln(5665) ā 48957, and here it is 55819.
- 4
55819 is a twin prime: 55817 and 55819 are both prime.
Primes around the 5665th
| Position | Prime | Gap from the previous |
|---|---|---|
| 5662 | 55807 | 8 |
| 5663 | 55813 | 6 |
| 5664 | 55817 | 4 |
| 5665 | 55819 | 2 |
| 5666 | 55823 | 4 |
| 5667 | 55829 | 6 |
| 5668 | 55837 | 8 |
Questions
What is the 5665th prime number?
55819.
Which prime number is 55819?
55819 is the 5665th prime number.
What is the sum of the first 5665 primes?
149,161,130.