What is the 2469th prime number?
The 2469th prime number is 22037. The next prime is 22039 (a gap of 2) and the one before is 22031.
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 2469th one is 22037.
- 2
22037 is prime because no prime up to ā22037 ā 148.45 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2469th prime is close to 2469 Ć ln(2469) ā 19287, and here it is 22037.
- 4
22037 is a twin prime: 22037 and 22039 are both prime.
Primes around the 2469th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2466 | 22013 | 10 |
| 2467 | 22027 | 14 |
| 2468 | 22031 | 4 |
| 2469 | 22037 | 6 |
| 2470 | 22039 | 2 |
| 2471 | 22051 | 12 |
| 2472 | 22063 | 12 |
Questions
What is the 2469th prime number?
22037.
Which prime number is 22037?
22037 is the 2469th prime number.
What is the sum of the first 2469 primes?
25,523,676.