What is the 2490th prime number?
The 2490th prime number is 22229. The next prime is 22247 (a gap of 18) and the one before is 22193.
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 2490th one is 22229.
- 2
22229 is prime because no prime up to ā22229 ā 149.09 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2490th prime is close to 2490 Ć ln(2490) ā 19472, and here it is 22229.
- 4
22229 has no twin: neither 22227 nor 22231 is prime.
Primes around the 2490th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2487 | 22171 | 12 |
| 2488 | 22189 | 18 |
| 2489 | 22193 | 4 |
| 2490 | 22229 | 36 |
| 2491 | 22247 | 18 |
| 2492 | 22259 | 12 |
| 2493 | 22271 | 12 |
Questions
What is the 2490th prime number?
22229.
Which prime number is 22229?
22229 is the 2490th prime number.
What is the sum of the first 2490 primes?
25,988,235.