What is the 2499th prime number?
The 2499th prime number is 22303. The next prime is 22307 (a gap of 4) and the one before is 22291.
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 2499th one is 22303.
- 2
22303 is prime because no prime up to ā22303 ā 149.34 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2499th prime is close to 2499 Ć ln(2499) ā 19551, and here it is 22303.
- 4
22303 has no twin: neither 22301 nor 22305 is prime.
Primes around the 2499th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2496 | 22279 | 2 |
| 2497 | 22283 | 4 |
| 2498 | 22291 | 8 |
| 2499 | 22303 | 12 |
| 2500 | 22307 | 4 |
| 2501 | 22343 | 36 |
| 2502 | 22349 | 6 |
Questions
What is the 2499th prime number?
22303.
Which prime number is 22303?
22303 is the 2499th prime number.
What is the sum of the first 2499 primes?
26,188,718.