What is the 599th prime number?
The 599th prime number is 4397. The next prime is 4409 (a gap of 12) and the one before is 4391.
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 599th one is 4397.
- 2
4397 is prime because no prime up to ā4397 ā 66.31 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 599th prime is close to 599 Ć ln(599) ā 3831, and here it is 4397.
- 4
4397 has no twin: neither 4395 nor 4399 is prime.
Primes around the 599th
| Position | Prime | Gap from the previous |
|---|---|---|
| 596 | 4363 | 6 |
| 597 | 4373 | 10 |
| 598 | 4391 | 18 |
| 599 | 4397 | 6 |
| 600 | 4409 | 12 |
| 601 | 4421 | 12 |
| 602 | 4423 | 2 |
Questions
What is the 599th prime number?
4397.
Which prime number is 4397?
4397 is the 599th prime number.
What is the sum of the first 599 primes?
1,218,686.