What is the 8295th prime number?
The 8295th prime number is 85199. The next prime is 85201 (a gap of 2) and the one before is 85193.
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 8295th one is 85199.
- 2
85199 is prime because no prime up to ā85199 ā 291.89 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8295th prime is close to 8295 Ć ln(8295) ā 74849, and here it is 85199.
- 4
85199 is a twin prime: 85199 and 85201 are both prime.
Primes around the 8295th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8292 | 85147 | 14 |
| 8293 | 85159 | 12 |
| 8294 | 85193 | 34 |
| 8295 | 85199 | 6 |
| 8296 | 85201 | 2 |
| 8297 | 85213 | 12 |
| 8298 | 85223 | 10 |
Questions
What is the 8295th prime number?
85199.
Which prime number is 85199?
85199 is the 8295th prime number.
What is the sum of the first 8295 primes?
334,304,000.