What is the 595th prime number?
The 595th prime number is 4357. The next prime is 4363 (a gap of 6) and the one before is 4349.
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 595th one is 4357.
- 2
4357 is prime because no prime up to ā4357 ā 66.01 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 595th prime is close to 595 Ć ln(595) ā 3801, and here it is 4357.
- 4
4357 has no twin: neither 4355 nor 4359 is prime.
Primes around the 595th
| Position | Prime | Gap from the previous |
|---|---|---|
| 592 | 4337 | 10 |
| 593 | 4339 | 2 |
| 594 | 4349 | 10 |
| 595 | 4357 | 8 |
| 596 | 4363 | 6 |
| 597 | 4373 | 10 |
| 598 | 4391 | 18 |
Questions
What is the 595th prime number?
4357.
Which prime number is 4357?
4357 is the 595th prime number.
What is the sum of the first 595 primes?
1,201,162.