What is the 597th prime number?
The 597th prime number is 4373. The next prime is 4391 (a gap of 18) and the one before is 4363.
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 597th one is 4373.
- 2
4373 is prime because no prime up to ā4373 ā 66.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 597th prime is close to 597 Ć ln(597) ā 3816, and here it is 4373.
- 4
4373 has no twin: neither 4371 nor 4375 is prime.
Primes around the 597th
| Position | Prime | Gap from the previous |
|---|---|---|
| 594 | 4349 | 10 |
| 595 | 4357 | 8 |
| 596 | 4363 | 6 |
| 597 | 4373 | 10 |
| 598 | 4391 | 18 |
| 599 | 4397 | 6 |
| 600 | 4409 | 12 |
Questions
What is the 597th prime number?
4373.
Which prime number is 4373?
4373 is the 597th prime number.
What is the sum of the first 597 primes?
1,209,898.