What is the 8297th prime number?
The 8297th prime number is 85213. The next prime is 85223 (a gap of 10) and the one before is 85201.
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 8297th one is 85213.
- 2
85213 is prime because no prime up to ā85213 ā 291.91 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8297th prime is close to 8297 Ć ln(8297) ā 74869, and here it is 85213.
- 4
85213 has no twin: neither 85211 nor 85215 is prime.
Primes around the 8297th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8294 | 85193 | 34 |
| 8295 | 85199 | 6 |
| 8296 | 85201 | 2 |
| 8297 | 85213 | 12 |
| 8298 | 85223 | 10 |
| 8299 | 85229 | 6 |
| 8300 | 85237 | 8 |
Questions
What is the 8297th prime number?
85213.
Which prime number is 85213?
85213 is the 8297th prime number.
What is the sum of the first 8297 primes?
334,474,414.