What is the 8210th prime number?
The 8210th prime number is 84221. The next prime is 84223 (a gap of 2) and the one before is 84211.
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 8210th one is 84221.
- 2
84221 is prime because no prime up to ā84221 ā 290.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8210th prime is close to 8210 Ć ln(8210) ā 73998, and here it is 84221.
- 4
84221 is a twin prime: 84221 and 84223 are both prime.
Primes around the 8210th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8207 | 84191 | 10 |
| 8208 | 84199 | 8 |
| 8209 | 84211 | 12 |
| 8210 | 84221 | 10 |
| 8211 | 84223 | 2 |
| 8212 | 84229 | 6 |
| 8213 | 84239 | 10 |
Questions
What is the 8210th prime number?
84221.
Which prime number is 84221?
84221 is the 8210th prime number.
What is the sum of the first 8210 primes?
327,104,495.