What is the 2479th prime number?
The 2479th prime number is 22111. The next prime is 22123 (a gap of 12) and the one before is 22109.
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 2479th one is 22111.
- 2
22111 is prime because no prime up to ā22111 ā 148.70 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2479th prime is close to 2479 Ć ln(2479) ā 19375, and here it is 22111.
- 4
22111 is a twin prime: 22109 and 22111 are both prime.
Primes around the 2479th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2476 | 22091 | 12 |
| 2477 | 22093 | 2 |
| 2478 | 22109 | 16 |
| 2479 | 22111 | 2 |
| 2480 | 22123 | 12 |
| 2481 | 22129 | 6 |
| 2482 | 22133 | 4 |
Questions
What is the 2479th prime number?
22111.
Which prime number is 22111?
22111 is the 2479th prime number.
What is the sum of the first 2479 primes?
25,744,452.