What is the 8391st prime number?
The 8391st prime number is 86293. The next prime is 86297 (a gap of 4) and the one before is 86291.
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 8391st one is 86293.
- 2
86293 is prime because no prime up to ā86293 ā 293.76 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8391st prime is close to 8391 Ć ln(8391) ā 75812, and here it is 86293.
- 4
86293 is a twin prime: 86291 and 86293 are both prime.
Primes around the 8391st
| Position | Prime | Gap from the previous |
|---|---|---|
| 8388 | 86269 | 6 |
| 8389 | 86287 | 18 |
| 8390 | 86291 | 4 |
| 8391 | 86293 | 2 |
| 8392 | 86297 | 4 |
| 8393 | 86311 | 14 |
| 8394 | 86323 | 12 |
Questions
What is the 8391st prime number?
86293.
Which prime number is 86293?
86293 is the 8391st prime number.
What is the sum of the first 8391 primes?
342,536,516.