What is the 2313th prime number?
The 2313th prime number is 20483. The next prime is 20507 (a gap of 24) and the one before is 20479.
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 2313th one is 20483.
- 2
20483 is prime because no prime up to ā20483 ā 143.12 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2313th prime is close to 2313 Ć ln(2313) ā 17917, and here it is 20483.
- 4
20483 has no twin: neither 20481 nor 20485 is prime.
Primes around the 2313th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2310 | 20443 | 2 |
| 2311 | 20477 | 34 |
| 2312 | 20479 | 2 |
| 2313 | 20483 | 4 |
| 2314 | 20507 | 24 |
| 2315 | 20509 | 2 |
| 2316 | 20521 | 12 |
Questions
What is the 2313th prime number?
20483.
Which prime number is 20483?
20483 is the 2313th prime number.
What is the sum of the first 2313 primes?
22,203,528.