What is the 2489th prime number?
The 2489th prime number is 22193. The next prime is 22229 (a gap of 36) and the one before is 22189.
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 2489th one is 22193.
- 2
22193 is prime because no prime up to ā22193 ā 148.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2489th prime is close to 2489 Ć ln(2489) ā 19463, and here it is 22193.
- 4
22193 has no twin: neither 22191 nor 22195 is prime.
Primes around the 2489th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2486 | 22159 | 2 |
| 2487 | 22171 | 12 |
| 2488 | 22189 | 18 |
| 2489 | 22193 | 4 |
| 2490 | 22229 | 36 |
| 2491 | 22247 | 18 |
| 2492 | 22259 | 12 |
Questions
What is the 2489th prime number?
22193.
Which prime number is 22193?
22193 is the 2489th prime number.
What is the sum of the first 2489 primes?
25,966,006.