What is the 2496th prime number?
The 2496th prime number is 22279. The next prime is 22283 (a gap of 4) and the one before is 22277.
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 2496th one is 22279.
- 2
22279 is prime because no prime up to ā22279 ā 149.26 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2496th prime is close to 2496 Ć ln(2496) ā 19525, and here it is 22279.
- 4
22279 is a twin prime: 22277 and 22279 are both prime.
Primes around the 2496th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2493 | 22271 | 12 |
| 2494 | 22273 | 2 |
| 2495 | 22277 | 4 |
| 2496 | 22279 | 2 |
| 2497 | 22283 | 4 |
| 2498 | 22291 | 8 |
| 2499 | 22303 | 12 |
Questions
What is the 2496th prime number?
22279.
Which prime number is 22279?
22279 is the 2496th prime number.
What is the sum of the first 2496 primes?
26,121,841.