What is the 8224th prime number?
The 8224th prime number is 84389. The next prime is 84391 (a gap of 2) and the one before is 84377.
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 8224th one is 84389.
- 2
84389 is prime because no prime up to ā84389 ā 290.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8224th prime is close to 8224 Ć ln(8224) ā 74138, and here it is 84389.
- 4
84389 is a twin prime: 84389 and 84391 are both prime.
Primes around the 8224th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8221 | 84347 | 28 |
| 8222 | 84349 | 2 |
| 8223 | 84377 | 28 |
| 8224 | 84389 | 12 |
| 8225 | 84391 | 2 |
| 8226 | 84401 | 10 |
| 8227 | 84407 | 6 |
Questions
What is the 8224th prime number?
84389.
Which prime number is 84389?
84389 is the 8224th prime number.
What is the sum of the first 8224 primes?
328,284,713.