What is the 2311th prime number?
The 2311th prime number is 20477. The next prime is 20479 (a gap of 2) and the one before is 20443.
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 2311th one is 20477.
- 2
20477 is prime because no prime up to ā20477 ā 143.10 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2311th prime is close to 2311 Ć ln(2311) ā 17900, and here it is 20477.
- 4
20477 is a twin prime: 20477 and 20479 are both prime.
Primes around the 2311th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2308 | 20431 | 20 |
| 2309 | 20441 | 10 |
| 2310 | 20443 | 2 |
| 2311 | 20477 | 34 |
| 2312 | 20479 | 2 |
| 2313 | 20483 | 4 |
| 2314 | 20507 | 24 |
Questions
What is the 2311th prime number?
20477.
Which prime number is 20477?
20477 is the 2311th prime number.
What is the sum of the first 2311 primes?
22,162,566.