What is the 2476th prime number?
The 2476th prime number is 22091. The next prime is 22093 (a gap of 2) and the one before is 22079.
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 2476th one is 22091.
- 2
22091 is prime because no prime up to ā22091 ā 148.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2476th prime is close to 2476 Ć ln(2476) ā 19348, and here it is 22091.
- 4
22091 is a twin prime: 22091 and 22093 are both prime.
Primes around the 2476th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2473 | 22067 | 4 |
| 2474 | 22073 | 6 |
| 2475 | 22079 | 6 |
| 2476 | 22091 | 12 |
| 2477 | 22093 | 2 |
| 2478 | 22109 | 16 |
| 2479 | 22111 | 2 |
Questions
What is the 2476th prime number?
22091.
Which prime number is 22091?
22091 is the 2476th prime number.
What is the sum of the first 2476 primes?
25,678,139.