What is the 8225th prime number?
The 8225th prime number is 84391. The next prime is 84401 (a gap of 10) and the one before is 84389.
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 8225th one is 84391.
- 2
84391 is prime because no prime up to ā84391 ā 290.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8225th prime is close to 8225 Ć ln(8225) ā 74148, and here it is 84391.
- 4
84391 is a twin prime: 84389 and 84391 are both prime.
Primes around the 8225th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8222 | 84349 | 2 |
| 8223 | 84377 | 28 |
| 8224 | 84389 | 12 |
| 8225 | 84391 | 2 |
| 8226 | 84401 | 10 |
| 8227 | 84407 | 6 |
| 8228 | 84421 | 14 |
Questions
What is the 8225th prime number?
84391.
Which prime number is 84391?
84391 is the 8225th prime number.
What is the sum of the first 8225 primes?
328,369,104.