What is the 2343rd prime number?
The 2343rd prime number is 20807. The next prime is 20809 (a gap of 2) and the one before is 20789.
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 2343rd one is 20807.
- 2
20807 is prime because no prime up to ā20807 ā 144.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2343rd prime is close to 2343 Ć ln(2343) ā 18180, and here it is 20807.
- 4
20807 is a twin prime: 20807 and 20809 are both prime.
Primes around the 2343rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2340 | 20771 | 12 |
| 2341 | 20773 | 2 |
| 2342 | 20789 | 16 |
| 2343 | 20807 | 18 |
| 2344 | 20809 | 2 |
| 2345 | 20849 | 40 |
| 2346 | 20857 | 8 |
Questions
What is the 2343rd prime number?
20807.
Which prime number is 20807?
20807 is the 2343rd prime number.
What is the sum of the first 2343 primes?
22,823,316.