What is the 2480th prime number?
The 2480th prime number is 22123. The next prime is 22129 (a gap of 6) and the one before is 22111.
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 2480th one is 22123.
- 2
22123 is prime because no prime up to ā22123 ā 148.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2480th prime is close to 2480 Ć ln(2480) ā 19384, and here it is 22123.
- 4
22123 has no twin: neither 22121 nor 22125 is prime.
Primes around the 2480th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2477 | 22093 | 2 |
| 2478 | 22109 | 16 |
| 2479 | 22111 | 2 |
| 2480 | 22123 | 12 |
| 2481 | 22129 | 6 |
| 2482 | 22133 | 4 |
| 2483 | 22147 | 14 |
Questions
What is the 2480th prime number?
22123.
Which prime number is 22123?
22123 is the 2480th prime number.
What is the sum of the first 2480 primes?
25,766,575.