What is the 2333rd prime number?
The 2333rd prime number is 20719. The next prime is 20731 (a gap of 12) and the one before is 20717.
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 2333rd one is 20719.
- 2
20719 is prime because no prime up to ā20719 ā 143.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2333rd prime is close to 2333 Ć ln(2333) ā 18092, and here it is 20719.
- 4
20719 is a twin prime: 20717 and 20719 are both prime.
Primes around the 2333rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2330 | 20693 | 12 |
| 2331 | 20707 | 14 |
| 2332 | 20717 | 10 |
| 2333 | 20719 | 2 |
| 2334 | 20731 | 12 |
| 2335 | 20743 | 12 |
| 2336 | 20747 | 4 |
Questions
What is the 2333rd prime number?
20719.
Which prime number is 20719?
20719 is the 2333rd prime number.
What is the sum of the first 2333 primes?
22,615,694.