What is the 8220th prime number?
The 8220th prime number is 84319. The next prime is 84347 (a gap of 28) and the one before is 84317.
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 8220th one is 84319.
- 2
84319 is prime because no prime up to ā84319 ā 290.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8220th prime is close to 8220 Ć ln(8220) ā 74098, and here it is 84319.
- 4
84319 is a twin prime: 84317 and 84319 are both prime.
Primes around the 8220th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8217 | 84307 | 8 |
| 8218 | 84313 | 6 |
| 8219 | 84317 | 4 |
| 8220 | 84319 | 2 |
| 8221 | 84347 | 28 |
| 8222 | 84349 | 2 |
| 8223 | 84377 | 28 |
Questions
What is the 8220th prime number?
84319.
Which prime number is 84319?
84319 is the 8220th prime number.
What is the sum of the first 8220 primes?
327,947,251.