What is the 2346th prime number?
The 2346th prime number is 20857. The next prime is 20873 (a gap of 16) and the one before is 20849.
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 2346th one is 20857.
- 2
20857 is prime because no prime up to ā20857 ā 144.42 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2346th prime is close to 2346 Ć ln(2346) ā 18206, and here it is 20857.
- 4
20857 has no twin: neither 20855 nor 20859 is prime.
Primes around the 2346th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2343 | 20807 | 18 |
| 2344 | 20809 | 2 |
| 2345 | 20849 | 40 |
| 2346 | 20857 | 8 |
| 2347 | 20873 | 16 |
| 2348 | 20879 | 6 |
| 2349 | 20887 | 8 |
Questions
What is the 2346th prime number?
20857.
Which prime number is 20857?
20857 is the 2346th prime number.
What is the sum of the first 2346 primes?
22,885,831.