What is the 2340th prime number?
The 2340th prime number is 20771. The next prime is 20773 (a gap of 2) and the one before is 20759.
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 2340th one is 20771.
- 2
20771 is prime because no prime up to ā20771 ā 144.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2340th prime is close to 2340 Ć ln(2340) ā 18154, and here it is 20771.
- 4
20771 is a twin prime: 20771 and 20773 are both prime.
Primes around the 2340th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2337 | 20749 | 2 |
| 2338 | 20753 | 4 |
| 2339 | 20759 | 6 |
| 2340 | 20771 | 12 |
| 2341 | 20773 | 2 |
| 2342 | 20789 | 16 |
| 2343 | 20807 | 18 |
Questions
What is the 2340th prime number?
20771.
Which prime number is 20771?
20771 is the 2340th prime number.
What is the sum of the first 2340 primes?
22,760,947.