What is the 2332nd prime number?
The 2332nd prime number is 20717. The next prime is 20719 (a gap of 2) and the one before is 20707.
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 2332nd one is 20717.
- 2
20717 is prime because no prime up to ā20717 ā 143.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2332nd prime is close to 2332 Ć ln(2332) ā 18083, and here it is 20717.
- 4
20717 is a twin prime: 20717 and 20719 are both prime.
Primes around the 2332nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2329 | 20681 | 18 |
| 2330 | 20693 | 12 |
| 2331 | 20707 | 14 |
| 2332 | 20717 | 10 |
| 2333 | 20719 | 2 |
| 2334 | 20731 | 12 |
| 2335 | 20743 | 12 |
Questions
What is the 2332nd prime number?
20717.
Which prime number is 20717?
20717 is the 2332nd prime number.
What is the sum of the first 2332 primes?
22,594,975.