What is the 592nd prime number?
The 592nd prime number is 4337. The next prime is 4339 (a gap of 2) and the one before is 4327.
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 592nd one is 4337.
- 2
4337 is prime because no prime up to ā4337 ā 65.86 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 592nd prime is close to 592 Ć ln(592) ā 3779, and here it is 4337.
- 4
4337 is a twin prime: 4337 and 4339 are both prime.
Primes around the 592nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 589 | 4289 | 6 |
| 590 | 4297 | 8 |
| 591 | 4327 | 30 |
| 592 | 4337 | 10 |
| 593 | 4339 | 2 |
| 594 | 4349 | 10 |
| 595 | 4357 | 8 |
Questions
What is the 592nd prime number?
4337.
Which prime number is 4337?
4337 is the 592nd prime number.
What is the sum of the first 592 primes?
1,188,117.