What is the 8294th prime number?
The 8294th prime number is 85193. The next prime is 85199 (a gap of 6) and the one before is 85159.
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 8294th one is 85193.
- 2
85193 is prime because no prime up to ā85193 ā 291.88 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8294th prime is close to 8294 Ć ln(8294) ā 74839, and here it is 85193.
- 4
85193 has no twin: neither 85191 nor 85195 is prime.
Primes around the 8294th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8291 | 85133 | 12 |
| 8292 | 85147 | 14 |
| 8293 | 85159 | 12 |
| 8294 | 85193 | 34 |
| 8295 | 85199 | 6 |
| 8296 | 85201 | 2 |
| 8297 | 85213 | 12 |
Questions
What is the 8294th prime number?
85193.
Which prime number is 85193?
85193 is the 8294th prime number.
What is the sum of the first 8294 primes?
334,218,801.