What is the 2497th prime number?
The 2497th prime number is 22283. The next prime is 22291 (a gap of 8) and the one before is 22279.
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 2497th one is 22283.
- 2
22283 is prime because no prime up to ā22283 ā 149.27 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2497th prime is close to 2497 Ć ln(2497) ā 19534, and here it is 22283.
- 4
22283 has no twin: neither 22281 nor 22285 is prime.
Primes around the 2497th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2494 | 22273 | 2 |
| 2495 | 22277 | 4 |
| 2496 | 22279 | 2 |
| 2497 | 22283 | 4 |
| 2498 | 22291 | 8 |
| 2499 | 22303 | 12 |
| 2500 | 22307 | 4 |
Questions
What is the 2497th prime number?
22283.
Which prime number is 22283?
22283 is the 2497th prime number.
What is the sum of the first 2497 primes?
26,144,124.