What is the 8240th prime number?
The 8240th prime number is 84521. The next prime is 84523 (a gap of 2) and the one before is 84509.
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 8240th one is 84521.
- 2
84521 is prime because no prime up to ā84521 ā 290.72 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8240th prime is close to 8240 Ć ln(8240) ā 74298, and here it is 84521.
- 4
84521 is a twin prime: 84521 and 84523 are both prime.
Primes around the 8240th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8237 | 84499 | 18 |
| 8238 | 84503 | 4 |
| 8239 | 84509 | 6 |
| 8240 | 84521 | 12 |
| 8241 | 84523 | 2 |
| 8242 | 84533 | 10 |
| 8243 | 84551 | 18 |
Questions
What is the 8240th prime number?
84521.
Which prime number is 84521?
84521 is the 8240th prime number.
What is the sum of the first 8240 primes?
329,635,993.