What is the 596th prime number?
The 596th prime number is 4363. The next prime is 4373 (a gap of 10) and the one before is 4357.
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 596th one is 4363.
- 2
4363 is prime because no prime up to ā4363 ā 66.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 596th prime is close to 596 Ć ln(596) ā 3809, and here it is 4363.
- 4
4363 has no twin: neither 4361 nor 4365 is prime.
Primes around the 596th
| Position | Prime | Gap from the previous |
|---|---|---|
| 593 | 4339 | 2 |
| 594 | 4349 | 10 |
| 595 | 4357 | 8 |
| 596 | 4363 | 6 |
| 597 | 4373 | 10 |
| 598 | 4391 | 18 |
| 599 | 4397 | 6 |
Questions
What is the 596th prime number?
4363.
Which prime number is 4363?
4363 is the 596th prime number.
What is the sum of the first 596 primes?
1,205,525.