What is the 2350th prime number?
The 2350th prime number is 20897. The next prime is 20899 (a gap of 2) and the one before is 20887.
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 2350th one is 20897.
- 2
20897 is prime because no prime up to ā20897 ā 144.56 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2350th prime is close to 2350 Ć ln(2350) ā 18241, and here it is 20897.
- 4
20897 is a twin prime: 20897 and 20899 are both prime.
Primes around the 2350th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2347 | 20873 | 16 |
| 2348 | 20879 | 6 |
| 2349 | 20887 | 8 |
| 2350 | 20897 | 10 |
| 2351 | 20899 | 2 |
| 2352 | 20903 | 4 |
| 2353 | 20921 | 18 |
Questions
What is the 2350th prime number?
20897.
Which prime number is 20897?
20897 is the 2350th prime number.
What is the sum of the first 2350 primes?
22,969,367.