What is the 594th prime number?
The 594th prime number is 4349. The next prime is 4357 (a gap of 8) and the one before is 4339.
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 594th one is 4349.
- 2
4349 is prime because no prime up to ā4349 ā 65.95 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 594th prime is close to 594 Ć ln(594) ā 3794, and here it is 4349.
- 4
4349 has no twin: neither 4347 nor 4351 is prime.
Primes around the 594th
| Position | Prime | Gap from the previous |
|---|---|---|
| 591 | 4327 | 30 |
| 592 | 4337 | 10 |
| 593 | 4339 | 2 |
| 594 | 4349 | 10 |
| 595 | 4357 | 8 |
| 596 | 4363 | 6 |
| 597 | 4373 | 10 |
Questions
What is the 594th prime number?
4349.
Which prime number is 4349?
4349 is the 594th prime number.
What is the sum of the first 594 primes?
1,196,805.