What is the 8296th prime number?
The 8296th prime number is 85201. The next prime is 85213 (a gap of 12) and the one before is 85199.
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 8296th one is 85201.
- 2
85201 is prime because no prime up to ā85201 ā 291.89 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8296th prime is close to 8296 Ć ln(8296) ā 74859, and here it is 85201.
- 4
85201 is a twin prime: 85199 and 85201 are both prime.
Primes around the 8296th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8293 | 85159 | 12 |
| 8294 | 85193 | 34 |
| 8295 | 85199 | 6 |
| 8296 | 85201 | 2 |
| 8297 | 85213 | 12 |
| 8298 | 85223 | 10 |
| 8299 | 85229 | 6 |
Questions
What is the 8296th prime number?
85201.
Which prime number is 85201?
85201 is the 8296th prime number.
What is the sum of the first 8296 primes?
334,389,201.