What is the 8207th prime number?
The 8207th prime number is 84191. The next prime is 84199 (a gap of 8) and the one before is 84181.
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 8207th one is 84191.
- 2
84191 is prime because no prime up to ā84191 ā 290.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8207th prime is close to 8207 Ć ln(8207) ā 73968, and here it is 84191.
- 4
84191 has no twin: neither 84189 nor 84193 is prime.
Primes around the 8207th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8204 | 84163 | 20 |
| 8205 | 84179 | 16 |
| 8206 | 84181 | 2 |
| 8207 | 84191 | 10 |
| 8208 | 84199 | 8 |
| 8209 | 84211 | 12 |
| 8210 | 84221 | 10 |
Questions
What is the 8207th prime number?
84191.
Which prime number is 84191?
84191 is the 8207th prime number.
What is the sum of the first 8207 primes?
326,851,864.