What is the 591st prime number?
The 591st prime number is 4327. The next prime is 4337 (a gap of 10) and the one before is 4297.
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 591st one is 4327.
- 2
4327 is prime because no prime up to ā4327 ā 65.78 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 591st prime is close to 591 Ć ln(591) ā 3772, and here it is 4327.
- 4
4327 has no twin: neither 4325 nor 4329 is prime.
Primes around the 591st
| Position | Prime | Gap from the previous |
|---|---|---|
| 588 | 4283 | 10 |
| 589 | 4289 | 6 |
| 590 | 4297 | 8 |
| 591 | 4327 | 30 |
| 592 | 4337 | 10 |
| 593 | 4339 | 2 |
| 594 | 4349 | 10 |
Questions
What is the 591st prime number?
4327.
Which prime number is 4327?
4327 is the 591st prime number.
What is the sum of the first 591 primes?
1,183,780.