What is the 8298th prime number?
The 8298th prime number is 85223. The next prime is 85229 (a gap of 6) and the one before is 85213.
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 8298th one is 85223.
- 2
85223 is prime because no prime up to ā85223 ā 291.93 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8298th prime is close to 8298 Ć ln(8298) ā 74879, and here it is 85223.
- 4
85223 has no twin: neither 85221 nor 85225 is prime.
Primes around the 8298th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8295 | 85199 | 6 |
| 8296 | 85201 | 2 |
| 8297 | 85213 | 12 |
| 8298 | 85223 | 10 |
| 8299 | 85229 | 6 |
| 8300 | 85237 | 8 |
| 8301 | 85243 | 6 |
Questions
What is the 8298th prime number?
85223.
Which prime number is 85223?
85223 is the 8298th prime number.
What is the sum of the first 8298 primes?
334,559,637.