What is the 8195th prime number?
The 8195th prime number is 84059. The next prime is 84061 (a gap of 2) and the one before is 84053.
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 8195th one is 84059.
- 2
84059 is prime because no prime up to ā84059 ā 289.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8195th prime is close to 8195 Ć ln(8195) ā 73847, and here it is 84059.
- 4
84059 is a twin prime: 84059 and 84061 are both prime.
Primes around the 8195th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8192 | 84017 | 6 |
| 8193 | 84047 | 30 |
| 8194 | 84053 | 6 |
| 8195 | 84059 | 6 |
| 8196 | 84061 | 2 |
| 8197 | 84067 | 6 |
| 8198 | 84089 | 22 |
Questions
What is the 8195th prime number?
84059.
Which prime number is 84059?
84059 is the 8195th prime number.
What is the sum of the first 8195 primes?
325,842,274.