What is the 8211th prime number?
The 8211th prime number is 84223. The next prime is 84229 (a gap of 6) and the one before is 84221.
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 8211th one is 84223.
- 2
84223 is prime because no prime up to ā84223 ā 290.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8211th prime is close to 8211 Ć ln(8211) ā 74008, and here it is 84223.
- 4
84223 is a twin prime: 84221 and 84223 are both prime.
Primes around the 8211th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8208 | 84199 | 8 |
| 8209 | 84211 | 12 |
| 8210 | 84221 | 10 |
| 8211 | 84223 | 2 |
| 8212 | 84229 | 6 |
| 8213 | 84239 | 10 |
| 8214 | 84247 | 8 |
Questions
What is the 8211th prime number?
84223.
Which prime number is 84223?
84223 is the 8211th prime number.
What is the sum of the first 8211 primes?
327,188,718.