What is the 8640th prime number?
The 8640th prime number is 89209. The next prime is 89213 (a gap of 4) and the one before is 89203.
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 8640th one is 89209.
- 2
89209 is prime because no prime up to ā89209 ā 298.68 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8640th prime is close to 8640 Ć ln(8640) ā 78314, and here it is 89209.
- 4
89209 has no twin: neither 89207 nor 89211 is prime.
Primes around the 8640th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8637 | 89153 | 16 |
| 8638 | 89189 | 36 |
| 8639 | 89203 | 14 |
| 8640 | 89209 | 6 |
| 8641 | 89213 | 4 |
| 8642 | 89227 | 14 |
| 8643 | 89231 | 4 |
Questions
What is the 8640th prime number?
89209.
Which prime number is 89209?
89209 is the 8640th prime number.
What is the sum of the first 8640 primes?
364,386,021.