What is the 2482nd prime number?
The 2482nd prime number is 22133. The next prime is 22147 (a gap of 14) and the one before is 22129.
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 2482nd one is 22133.
- 2
22133 is prime because no prime up to ā22133 ā 148.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2482nd prime is close to 2482 Ć ln(2482) ā 19401, and here it is 22133.
- 4
22133 has no twin: neither 22131 nor 22135 is prime.
Primes around the 2482nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2479 | 22111 | 2 |
| 2480 | 22123 | 12 |
| 2481 | 22129 | 6 |
| 2482 | 22133 | 4 |
| 2483 | 22147 | 14 |
| 2484 | 22153 | 6 |
| 2485 | 22157 | 4 |
Questions
What is the 2482nd prime number?
22133.
Which prime number is 22133?
22133 is the 2482nd prime number.
What is the sum of the first 2482 primes?
25,810,837.