What is the 2345th prime number?
The 2345th prime number is 20849. The next prime is 20857 (a gap of 8) and the one before is 20809.
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 2345th one is 20849.
- 2
20849 is prime because no prime up to ā20849 ā 144.39 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2345th prime is close to 2345 Ć ln(2345) ā 18197, and here it is 20849.
- 4
20849 has no twin: neither 20847 nor 20851 is prime.
Primes around the 2345th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2342 | 20789 | 16 |
| 2343 | 20807 | 18 |
| 2344 | 20809 | 2 |
| 2345 | 20849 | 40 |
| 2346 | 20857 | 8 |
| 2347 | 20873 | 16 |
| 2348 | 20879 | 6 |
Questions
What is the 2345th prime number?
20849.
Which prime number is 20849?
20849 is the 2345th prime number.
What is the sum of the first 2345 primes?
22,864,974.