What is the 2484th prime number?
The 2484th prime number is 22153. The next prime is 22157 (a gap of 4) and the one before is 22147.
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 2484th one is 22153.
- 2
22153 is prime because no prime up to ā22153 ā 148.84 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2484th prime is close to 2484 Ć ln(2484) ā 19419, and here it is 22153.
- 4
22153 has no twin: neither 22151 nor 22155 is prime.
Primes around the 2484th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2481 | 22129 | 6 |
| 2482 | 22133 | 4 |
| 2483 | 22147 | 14 |
| 2484 | 22153 | 6 |
| 2485 | 22157 | 4 |
| 2486 | 22159 | 2 |
| 2487 | 22171 | 12 |
Questions
What is the 2484th prime number?
22153.
Which prime number is 22153?
22153 is the 2484th prime number.
What is the sum of the first 2484 primes?
25,855,137.