What is the 8197th prime number?
The 8197th prime number is 84067. The next prime is 84089 (a gap of 22) and the one before is 84061.
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 8197th one is 84067.
- 2
84067 is prime because no prime up to ā84067 ā 289.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8197th prime is close to 8197 Ć ln(8197) ā 73867, and here it is 84067.
- 4
84067 has no twin: neither 84065 nor 84069 is prime.
Primes around the 8197th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8194 | 84053 | 6 |
| 8195 | 84059 | 6 |
| 8196 | 84061 | 2 |
| 8197 | 84067 | 6 |
| 8198 | 84089 | 22 |
| 8199 | 84121 | 32 |
| 8200 | 84127 | 6 |
Questions
What is the 8197th prime number?
84067.
Which prime number is 84067?
84067 is the 8197th prime number.
What is the sum of the first 8197 primes?
326,010,402.