What is the 2488th prime number?
The 2488th prime number is 22189. The next prime is 22193 (a gap of 4) and the one before is 22171.
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 2488th one is 22189.
- 2
22189 is prime because no prime up to ā22189 ā 148.96 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2488th prime is close to 2488 Ć ln(2488) ā 19454, and here it is 22189.
- 4
22189 has no twin: neither 22187 nor 22191 is prime.
Primes around the 2488th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2485 | 22157 | 4 |
| 2486 | 22159 | 2 |
| 2487 | 22171 | 12 |
| 2488 | 22189 | 18 |
| 2489 | 22193 | 4 |
| 2490 | 22229 | 36 |
| 2491 | 22247 | 18 |
Questions
What is the 2488th prime number?
22189.
Which prime number is 22189?
22189 is the 2488th prime number.
What is the sum of the first 2488 primes?
25,943,813.