What is the 8208th prime number?
The 8208th prime number is 84199. The next prime is 84211 (a gap of 12) and the one before is 84191.
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 8208th one is 84199.
- 2
84199 is prime because no prime up to ā84199 ā 290.17 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8208th prime is close to 8208 Ć ln(8208) ā 73978, and here it is 84199.
- 4
84199 has no twin: neither 84197 nor 84201 is prime.
Primes around the 8208th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8205 | 84179 | 16 |
| 8206 | 84181 | 2 |
| 8207 | 84191 | 10 |
| 8208 | 84199 | 8 |
| 8209 | 84211 | 12 |
| 8210 | 84221 | 10 |
| 8211 | 84223 | 2 |
Questions
What is the 8208th prime number?
84199.
Which prime number is 84199?
84199 is the 8208th prime number.
What is the sum of the first 8208 primes?
326,936,063.