What is the 598th prime number?
The 598th prime number is 4391. The next prime is 4397 (a gap of 6) and the one before is 4373.
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 598th one is 4391.
- 2
4391 is prime because no prime up to ā4391 ā 66.26 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 598th prime is close to 598 Ć ln(598) ā 3823, and here it is 4391.
- 4
4391 has no twin: neither 4389 nor 4393 is prime.
Primes around the 598th
| Position | Prime | Gap from the previous |
|---|---|---|
| 595 | 4357 | 8 |
| 596 | 4363 | 6 |
| 597 | 4373 | 10 |
| 598 | 4391 | 18 |
| 599 | 4397 | 6 |
| 600 | 4409 | 12 |
| 601 | 4421 | 12 |
Questions
What is the 598th prime number?
4391.
Which prime number is 4391?
4391 is the 598th prime number.
What is the sum of the first 598 primes?
1,214,289.