What is the 8196th prime number?
The 8196th prime number is 84061. The next prime is 84067 (a gap of 6) and the one before is 84059.
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 8196th one is 84061.
- 2
84061 is prime because no prime up to ā84061 ā 289.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8196th prime is close to 8196 Ć ln(8196) ā 73857, and here it is 84061.
- 4
84061 is a twin prime: 84059 and 84061 are both prime.
Primes around the 8196th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8193 | 84047 | 30 |
| 8194 | 84053 | 6 |
| 8195 | 84059 | 6 |
| 8196 | 84061 | 2 |
| 8197 | 84067 | 6 |
| 8198 | 84089 | 22 |
| 8199 | 84121 | 32 |
Questions
What is the 8196th prime number?
84061.
Which prime number is 84061?
84061 is the 8196th prime number.
What is the sum of the first 8196 primes?
325,926,335.