What is the 2599th prime number?
The 2599th prime number is 23311. The next prime is 23321 (a gap of 10) and the one before is 23297.
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 2599th one is 23311.
- 2
23311 is prime because no prime up to ā23311 ā 152.68 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2599th prime is close to 2599 Ć ln(2599) ā 20436, and here it is 23311.
- 4
23311 has no twin: neither 23309 nor 23313 is prime.
Primes around the 2599th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2596 | 23291 | 12 |
| 2597 | 23293 | 2 |
| 2598 | 23297 | 4 |
| 2599 | 23311 | 14 |
| 2600 | 23321 | 10 |
| 2601 | 23327 | 6 |
| 2602 | 23333 | 6 |
Questions
What is the 2599th prime number?
23311.
Which prime number is 23311?
23311 is the 2599th prime number.
What is the sum of the first 2599 primes?
28,471,324.