What is the 8221st prime number?
The 8221st prime number is 84347. The next prime is 84349 (a gap of 2) and the one before is 84319.
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 8221st one is 84347.
- 2
84347 is prime because no prime up to ā84347 ā 290.43 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8221st prime is close to 8221 Ć ln(8221) ā 74108, and here it is 84347.
- 4
84347 is a twin prime: 84347 and 84349 are both prime.
Primes around the 8221st
| Position | Prime | Gap from the previous |
|---|---|---|
| 8218 | 84313 | 6 |
| 8219 | 84317 | 4 |
| 8220 | 84319 | 2 |
| 8221 | 84347 | 28 |
| 8222 | 84349 | 2 |
| 8223 | 84377 | 28 |
| 8224 | 84389 | 12 |
Questions
What is the 8221st prime number?
84347.
Which prime number is 84347?
84347 is the 8221st prime number.
What is the sum of the first 8221 primes?
328,031,598.