What is the 2598th prime number?
The 2598th prime number is 23297. The next prime is 23311 (a gap of 14) and the one before is 23293.
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 2598th one is 23297.
- 2
23297 is prime because no prime up to ā23297 ā 152.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2598th prime is close to 2598 Ć ln(2598) ā 20427, and here it is 23297.
- 4
23297 has no twin: neither 23295 nor 23299 is prime.
Primes around the 2598th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2595 | 23279 | 10 |
| 2596 | 23291 | 12 |
| 2597 | 23293 | 2 |
| 2598 | 23297 | 4 |
| 2599 | 23311 | 14 |
| 2600 | 23321 | 10 |
| 2601 | 23327 | 6 |
Questions
What is the 2598th prime number?
23297.
Which prime number is 23297?
23297 is the 2598th prime number.
What is the sum of the first 2598 primes?
28,448,013.