What is the 2470th prime number?
The 2470th prime number is 22039. The next prime is 22051 (a gap of 12) and the one before is 22037.
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 2470th one is 22039.
- 2
22039 is prime because no prime up to ā22039 ā 148.46 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2470th prime is close to 2470 Ć ln(2470) ā 19296, and here it is 22039.
- 4
22039 is a twin prime: 22037 and 22039 are both prime.
Primes around the 2470th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2467 | 22027 | 14 |
| 2468 | 22031 | 4 |
| 2469 | 22037 | 6 |
| 2470 | 22039 | 2 |
| 2471 | 22051 | 12 |
| 2472 | 22063 | 12 |
| 2473 | 22067 | 4 |
Questions
What is the 2470th prime number?
22039.
Which prime number is 22039?
22039 is the 2470th prime number.
What is the sum of the first 2470 primes?
25,545,715.