What is the 2492nd prime number?
The 2492nd prime number is 22259. The next prime is 22271 (a gap of 12) and the one before is 22247.
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 2492nd one is 22259.
- 2
22259 is prime because no prime up to ā22259 ā 149.19 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2492nd prime is close to 2492 Ć ln(2492) ā 19490, and here it is 22259.
- 4
22259 has no twin: neither 22257 nor 22261 is prime.
Primes around the 2492nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2489 | 22193 | 4 |
| 2490 | 22229 | 36 |
| 2491 | 22247 | 18 |
| 2492 | 22259 | 12 |
| 2493 | 22271 | 12 |
| 2494 | 22273 | 2 |
| 2495 | 22277 | 4 |
Questions
What is the 2492nd prime number?
22259.
Which prime number is 22259?
22259 is the 2492nd prime number.
What is the sum of the first 2492 primes?
26,032,741.