What is the 2337th prime number?
The 2337th prime number is 20749. The next prime is 20753 (a gap of 4) and the one before is 20747.
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 2337th one is 20749.
- 2
20749 is prime because no prime up to ā20749 ā 144.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2337th prime is close to 2337 Ć ln(2337) ā 18127, and here it is 20749.
- 4
20749 is a twin prime: 20747 and 20749 are both prime.
Primes around the 2337th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2334 | 20731 | 12 |
| 2335 | 20743 | 12 |
| 2336 | 20747 | 4 |
| 2337 | 20749 | 2 |
| 2338 | 20753 | 4 |
| 2339 | 20759 | 6 |
| 2340 | 20771 | 12 |
Questions
What is the 2337th prime number?
20749.
Which prime number is 20749?
20749 is the 2337th prime number.
What is the sum of the first 2337 primes?
22,698,664.