What is the 2334th prime number?
The 2334th prime number is 20731. The next prime is 20743 (a gap of 12) and the one before is 20719.
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 2334th one is 20731.
- 2
20731 is prime because no prime up to ā20731 ā 143.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2334th prime is close to 2334 Ć ln(2334) ā 18101, and here it is 20731.
- 4
20731 has no twin: neither 20729 nor 20733 is prime.
Primes around the 2334th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2331 | 20707 | 14 |
| 2332 | 20717 | 10 |
| 2333 | 20719 | 2 |
| 2334 | 20731 | 12 |
| 2335 | 20743 | 12 |
| 2336 | 20747 | 4 |
| 2337 | 20749 | 2 |
Questions
What is the 2334th prime number?
20731.
Which prime number is 20731?
20731 is the 2334th prime number.
What is the sum of the first 2334 primes?
22,636,425.