What is the 2348th prime number?
The 2348th prime number is 20879. The next prime is 20887 (a gap of 8) and the one before is 20873.
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 2348th one is 20879.
- 2
20879 is prime because no prime up to ā20879 ā 144.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2348th prime is close to 2348 Ć ln(2348) ā 18224, and here it is 20879.
- 4
20879 has no twin: neither 20877 nor 20881 is prime.
Primes around the 2348th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2345 | 20849 | 40 |
| 2346 | 20857 | 8 |
| 2347 | 20873 | 16 |
| 2348 | 20879 | 6 |
| 2349 | 20887 | 8 |
| 2350 | 20897 | 10 |
| 2351 | 20899 | 2 |
Questions
What is the 2348th prime number?
20879.
Which prime number is 20879?
20879 is the 2348th prime number.
What is the sum of the first 2348 primes?
22,927,583.