What is the 2349th prime number?
The 2349th prime number is 20887. The next prime is 20897 (a gap of 10) and the one before is 20879.
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 2349th one is 20887.
- 2
20887 is prime because no prime up to ā20887 ā 144.52 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2349th prime is close to 2349 Ć ln(2349) ā 18232, and here it is 20887.
- 4
20887 has no twin: neither 20885 nor 20889 is prime.
Primes around the 2349th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2346 | 20857 | 8 |
| 2347 | 20873 | 16 |
| 2348 | 20879 | 6 |
| 2349 | 20887 | 8 |
| 2350 | 20897 | 10 |
| 2351 | 20899 | 2 |
| 2352 | 20903 | 4 |
Questions
What is the 2349th prime number?
20887.
Which prime number is 20887?
20887 is the 2349th prime number.
What is the sum of the first 2349 primes?
22,948,470.