What is the 8222nd prime number?
The 8222nd prime number is 84349. The next prime is 84377 (a gap of 28) and the one before is 84347.
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 8222nd one is 84349.
- 2
84349 is prime because no prime up to ā84349 ā 290.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8222nd prime is close to 8222 Ć ln(8222) ā 74118, and here it is 84349.
- 4
84349 is a twin prime: 84347 and 84349 are both prime.
Primes around the 8222nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8219 | 84317 | 4 |
| 8220 | 84319 | 2 |
| 8221 | 84347 | 28 |
| 8222 | 84349 | 2 |
| 8223 | 84377 | 28 |
| 8224 | 84389 | 12 |
| 8225 | 84391 | 2 |
Questions
What is the 8222nd prime number?
84349.
Which prime number is 84349?
84349 is the 8222nd prime number.
What is the sum of the first 8222 primes?
328,115,947.