What is the 8293rd prime number?
The 8293rd prime number is 85159. The next prime is 85193 (a gap of 34) and the one before is 85147.
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 8293rd one is 85159.
- 2
85159 is prime because no prime up to ā85159 ā 291.82 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8293rd prime is close to 8293 Ć ln(8293) ā 74829, and here it is 85159.
- 4
85159 has no twin: neither 85157 nor 85161 is prime.
Primes around the 8293rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8290 | 85121 | 12 |
| 8291 | 85133 | 12 |
| 8292 | 85147 | 14 |
| 8293 | 85159 | 12 |
| 8294 | 85193 | 34 |
| 8295 | 85199 | 6 |
| 8296 | 85201 | 2 |
Questions
What is the 8293rd prime number?
85159.
Which prime number is 85159?
85159 is the 8293rd prime number.
What is the sum of the first 8293 primes?
334,133,608.