What is the 593rd prime number?
The 593rd prime number is 4339. The next prime is 4349 (a gap of 10) and the one before is 4337.
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 593rd one is 4339.
- 2
4339 is prime because no prime up to ā4339 ā 65.87 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 593rd prime is close to 593 Ć ln(593) ā 3786, and here it is 4339.
- 4
4339 is a twin prime: 4337 and 4339 are both prime.
Primes around the 593rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 590 | 4297 | 8 |
| 591 | 4327 | 30 |
| 592 | 4337 | 10 |
| 593 | 4339 | 2 |
| 594 | 4349 | 10 |
| 595 | 4357 | 8 |
| 596 | 4363 | 6 |
Questions
What is the 593rd prime number?
4339.
Which prime number is 4339?
4339 is the 593rd prime number.
What is the sum of the first 593 primes?
1,192,456.