What is the 2330th prime number?
The 2330th prime number is 20693. The next prime is 20707 (a gap of 14) and the one before is 20681.
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 2330th one is 20693.
- 2
20693 is prime because no prime up to ā20693 ā 143.85 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2330th prime is close to 2330 Ć ln(2330) ā 18066, and here it is 20693.
- 4
20693 has no twin: neither 20691 nor 20695 is prime.
Primes around the 2330th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2327 | 20641 | 2 |
| 2328 | 20663 | 22 |
| 2329 | 20681 | 18 |
| 2330 | 20693 | 12 |
| 2331 | 20707 | 14 |
| 2332 | 20717 | 10 |
| 2333 | 20719 | 2 |
Questions
What is the 2330th prime number?
20693.
Which prime number is 20693?
20693 is the 2330th prime number.
What is the sum of the first 2330 primes?
22,553,551.