What is the 2467th prime number?
The 2467th prime number is 22027. The next prime is 22031 (a gap of 4) and the one before is 22013.
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 2467th one is 22027.
- 2
22027 is prime because no prime up to ā22027 ā 148.41 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2467th prime is close to 2467 Ć ln(2467) ā 19269, and here it is 22027.
- 4
22027 has no twin: neither 22025 nor 22029 is prime.
Primes around the 2467th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2464 | 21997 | 6 |
| 2465 | 22003 | 6 |
| 2466 | 22013 | 10 |
| 2467 | 22027 | 14 |
| 2468 | 22031 | 4 |
| 2469 | 22037 | 6 |
| 2470 | 22039 | 2 |
Questions
What is the 2467th prime number?
22027.
Which prime number is 22027?
22027 is the 2467th prime number.
What is the sum of the first 2467 primes?
25,479,608.