What is the 2344th prime number?
The 2344th prime number is 20809. The next prime is 20849 (a gap of 40) and the one before is 20807.
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 2344th one is 20809.
- 2
20809 is prime because no prime up to ā20809 ā 144.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2344th prime is close to 2344 Ć ln(2344) ā 18189, and here it is 20809.
- 4
20809 is a twin prime: 20807 and 20809 are both prime.
Primes around the 2344th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2341 | 20773 | 2 |
| 2342 | 20789 | 16 |
| 2343 | 20807 | 18 |
| 2344 | 20809 | 2 |
| 2345 | 20849 | 40 |
| 2346 | 20857 | 8 |
| 2347 | 20873 | 16 |
Questions
What is the 2344th prime number?
20809.
Which prime number is 20809?
20809 is the 2344th prime number.
What is the sum of the first 2344 primes?
22,844,125.