What is the 2329th prime number?
The 2329th prime number is 20681. The next prime is 20693 (a gap of 12) and the one before is 20663.
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 2329th one is 20681.
- 2
20681 is prime because no prime up to ā20681 ā 143.81 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2329th prime is close to 2329 Ć ln(2329) ā 18057, and here it is 20681.
- 4
20681 has no twin: neither 20679 nor 20683 is prime.
Primes around the 2329th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2326 | 20639 | 12 |
| 2327 | 20641 | 2 |
| 2328 | 20663 | 22 |
| 2329 | 20681 | 18 |
| 2330 | 20693 | 12 |
| 2331 | 20707 | 14 |
| 2332 | 20717 | 10 |
Questions
What is the 2329th prime number?
20681.
Which prime number is 20681?
20681 is the 2329th prime number.
What is the sum of the first 2329 primes?
22,532,858.