What is the 2468th prime number?
The 2468th prime number is 22031. The next prime is 22037 (a gap of 6) and the one before is 22027.
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 2468th one is 22031.
- 2
22031 is prime because no prime up to ā22031 ā 148.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2468th prime is close to 2468 Ć ln(2468) ā 19278, and here it is 22031.
- 4
22031 has no twin: neither 22029 nor 22033 is prime.
Primes around the 2468th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2465 | 22003 | 6 |
| 2466 | 22013 | 10 |
| 2467 | 22027 | 14 |
| 2468 | 22031 | 4 |
| 2469 | 22037 | 6 |
| 2470 | 22039 | 2 |
| 2471 | 22051 | 12 |
Questions
What is the 2468th prime number?
22031.
Which prime number is 22031?
22031 is the 2468th prime number.
What is the sum of the first 2468 primes?
25,501,639.