What is the 8291st prime number?
The 8291st prime number is 85133. The next prime is 85147 (a gap of 14) and the one before is 85121.
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 8291st one is 85133.
- 2
85133 is prime because no prime up to ā85133 ā 291.78 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8291st prime is close to 8291 Ć ln(8291) ā 74809, and here it is 85133.
- 4
85133 has no twin: neither 85131 nor 85135 is prime.
Primes around the 8291st
| Position | Prime | Gap from the previous |
|---|---|---|
| 8288 | 85103 | 10 |
| 8289 | 85109 | 6 |
| 8290 | 85121 | 12 |
| 8291 | 85133 | 12 |
| 8292 | 85147 | 14 |
| 8293 | 85159 | 12 |
| 8294 | 85193 | 34 |
Questions
What is the 8291st prime number?
85133.
Which prime number is 85133?
85133 is the 8291st prime number.
What is the sum of the first 8291 primes?
333,963,302.