What is the 2312th prime number?
The 2312th prime number is 20479. The next prime is 20483 (a gap of 4) and the one before is 20477.
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 2312th one is 20479.
- 2
20479 is prime because no prime up to ā20479 ā 143.10 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2312th prime is close to 2312 Ć ln(2312) ā 17908, and here it is 20479.
- 4
20479 is a twin prime: 20477 and 20479 are both prime.
Primes around the 2312th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2309 | 20441 | 10 |
| 2310 | 20443 | 2 |
| 2311 | 20477 | 34 |
| 2312 | 20479 | 2 |
| 2313 | 20483 | 4 |
| 2314 | 20507 | 24 |
| 2315 | 20509 | 2 |
Questions
What is the 2312th prime number?
20479.
Which prime number is 20479?
20479 is the 2312th prime number.
What is the sum of the first 2312 primes?
22,183,045.