What is the 2493rd prime number?
The 2493rd prime number is 22271. The next prime is 22273 (a gap of 2) and the one before is 22259.
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 2493rd one is 22271.
- 2
22271 is prime because no prime up to ā22271 ā 149.23 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2493rd prime is close to 2493 Ć ln(2493) ā 19498, and here it is 22271.
- 4
22271 is a twin prime: 22271 and 22273 are both prime.
Primes around the 2493rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2490 | 22229 | 36 |
| 2491 | 22247 | 18 |
| 2492 | 22259 | 12 |
| 2493 | 22271 | 12 |
| 2494 | 22273 | 2 |
| 2495 | 22277 | 4 |
| 2496 | 22279 | 2 |
Questions
What is the 2493rd prime number?
22271.
Which prime number is 22271?
22271 is the 2493rd prime number.
What is the sum of the first 2493 primes?
26,055,012.