What is the 8299th prime number?
The 8299th prime number is 85229. The next prime is 85237 (a gap of 8) and the one before is 85223.
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 8299th one is 85229.
- 2
85229 is prime because no prime up to ā85229 ā 291.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8299th prime is close to 8299 Ć ln(8299) ā 74889, and here it is 85229.
- 4
85229 has no twin: neither 85227 nor 85231 is prime.
Primes around the 8299th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8296 | 85201 | 2 |
| 8297 | 85213 | 12 |
| 8298 | 85223 | 10 |
| 8299 | 85229 | 6 |
| 8300 | 85237 | 8 |
| 8301 | 85243 | 6 |
| 8302 | 85247 | 4 |
Questions
What is the 8299th prime number?
85229.
Which prime number is 85229?
85229 is the 8299th prime number.
What is the sum of the first 8299 primes?
334,644,866.