What is the 2347th prime number?
The 2347th prime number is 20873. The next prime is 20879 (a gap of 6) and the one before is 20857.
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 2347th one is 20873.
- 2
20873 is prime because no prime up to ā20873 ā 144.47 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2347th prime is close to 2347 Ć ln(2347) ā 18215, and here it is 20873.
- 4
20873 has no twin: neither 20871 nor 20875 is prime.
Primes around the 2347th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2344 | 20809 | 2 |
| 2345 | 20849 | 40 |
| 2346 | 20857 | 8 |
| 2347 | 20873 | 16 |
| 2348 | 20879 | 6 |
| 2349 | 20887 | 8 |
| 2350 | 20897 | 10 |
Questions
What is the 2347th prime number?
20873.
Which prime number is 20873?
20873 is the 2347th prime number.
What is the sum of the first 2347 primes?
22,906,704.