What is the 2494th prime number?
The 2494th prime number is 22273. The next prime is 22277 (a gap of 4) and the one before is 22271.
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 2494th one is 22273.
- 2
22273 is prime because no prime up to ā22273 ā 149.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2494th prime is close to 2494 Ć ln(2494) ā 19507, and here it is 22273.
- 4
22273 is a twin prime: 22271 and 22273 are both prime.
Primes around the 2494th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2491 | 22247 | 18 |
| 2492 | 22259 | 12 |
| 2493 | 22271 | 12 |
| 2494 | 22273 | 2 |
| 2495 | 22277 | 4 |
| 2496 | 22279 | 2 |
| 2497 | 22283 | 4 |
Questions
What is the 2494th prime number?
22273.
Which prime number is 22273?
22273 is the 2494th prime number.
What is the sum of the first 2494 primes?
26,077,285.