What is the 2478th prime number?
The 2478th prime number is 22109. The next prime is 22111 (a gap of 2) and the one before is 22093.
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 2478th one is 22109.
- 2
22109 is prime because no prime up to ā22109 ā 148.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2478th prime is close to 2478 Ć ln(2478) ā 19366, and here it is 22109.
- 4
22109 is a twin prime: 22109 and 22111 are both prime.
Primes around the 2478th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2475 | 22079 | 6 |
| 2476 | 22091 | 12 |
| 2477 | 22093 | 2 |
| 2478 | 22109 | 16 |
| 2479 | 22111 | 2 |
| 2480 | 22123 | 12 |
| 2481 | 22129 | 6 |
Questions
What is the 2478th prime number?
22109.
Which prime number is 22109?
22109 is the 2478th prime number.
What is the sum of the first 2478 primes?
25,722,341.