What is the 2498th prime number?
The 2498th prime number is 22291. The next prime is 22303 (a gap of 12) and the one before is 22283.
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 2498th one is 22291.
- 2
22291 is prime because no prime up to ā22291 ā 149.30 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2498th prime is close to 2498 Ć ln(2498) ā 19542, and here it is 22291.
- 4
22291 has no twin: neither 22289 nor 22293 is prime.
Primes around the 2498th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2495 | 22277 | 4 |
| 2496 | 22279 | 2 |
| 2497 | 22283 | 4 |
| 2498 | 22291 | 8 |
| 2499 | 22303 | 12 |
| 2500 | 22307 | 4 |
| 2501 | 22343 | 36 |
Questions
What is the 2498th prime number?
22291.
Which prime number is 22291?
22291 is the 2498th prime number.
What is the sum of the first 2498 primes?
26,166,415.