What is the 2310th prime number?
The 2310th prime number is 20443. The next prime is 20477 (a gap of 34) and the one before is 20441.
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 2310th one is 20443.
- 2
20443 is prime because no prime up to ā20443 ā 142.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2310th prime is close to 2310 Ć ln(2310) ā 17891, and here it is 20443.
- 4
20443 is a twin prime: 20441 and 20443 are both prime.
Primes around the 2310th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2307 | 20411 | 4 |
| 2308 | 20431 | 20 |
| 2309 | 20441 | 10 |
| 2310 | 20443 | 2 |
| 2311 | 20477 | 34 |
| 2312 | 20479 | 2 |
| 2313 | 20483 | 4 |
Questions
What is the 2310th prime number?
20443.
Which prime number is 20443?
20443 is the 2310th prime number.
What is the sum of the first 2310 primes?
22,142,089.