What is the 8392nd prime number?
The 8392nd prime number is 86297. The next prime is 86311 (a gap of 14) and the one before is 86293.
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 8392nd one is 86297.
- 2
86297 is prime because no prime up to ā86297 ā 293.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8392nd prime is close to 8392 Ć ln(8392) ā 75822, and here it is 86297.
- 4
86297 has no twin: neither 86295 nor 86299 is prime.
Primes around the 8392nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8389 | 86287 | 18 |
| 8390 | 86291 | 4 |
| 8391 | 86293 | 2 |
| 8392 | 86297 | 4 |
| 8393 | 86311 | 14 |
| 8394 | 86323 | 12 |
| 8395 | 86341 | 18 |
Questions
What is the 8392nd prime number?
86297.
Which prime number is 86297?
86297 is the 8392nd prime number.
What is the sum of the first 8392 primes?
342,622,813.