What is the 2491st prime number?
The 2491st prime number is 22247. The next prime is 22259 (a gap of 12) and the one before is 22229.
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 2491st one is 22247.
- 2
22247 is prime because no prime up to ā22247 ā 149.15 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2491st prime is close to 2491 Ć ln(2491) ā 19481, and here it is 22247.
- 4
22247 has no twin: neither 22245 nor 22249 is prime.
Primes around the 2491st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2488 | 22189 | 18 |
| 2489 | 22193 | 4 |
| 2490 | 22229 | 36 |
| 2491 | 22247 | 18 |
| 2492 | 22259 | 12 |
| 2493 | 22271 | 12 |
| 2494 | 22273 | 2 |
Questions
What is the 2491st prime number?
22247.
Which prime number is 22247?
22247 is the 2491st prime number.
What is the sum of the first 2491 primes?
26,010,482.