What is the 8219th prime number?
The 8219th prime number is 84317. The next prime is 84319 (a gap of 2) and the one before is 84313.
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 8219th one is 84317.
- 2
84317 is prime because no prime up to ā84317 ā 290.37 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8219th prime is close to 8219 Ć ln(8219) ā 74088, and here it is 84317.
- 4
84317 is a twin prime: 84317 and 84319 are both prime.
Primes around the 8219th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8216 | 84299 | 36 |
| 8217 | 84307 | 8 |
| 8218 | 84313 | 6 |
| 8219 | 84317 | 4 |
| 8220 | 84319 | 2 |
| 8221 | 84347 | 28 |
| 8222 | 84349 | 2 |
Questions
What is the 8219th prime number?
84317.
Which prime number is 84317?
84317 is the 8219th prime number.
What is the sum of the first 8219 primes?
327,862,932.