What is the 8292nd prime number?
The 8292nd prime number is 85147. The next prime is 85159 (a gap of 12) and the one before is 85133.
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 8292nd one is 85147.
- 2
85147 is prime because no prime up to ā85147 ā 291.80 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8292nd prime is close to 8292 Ć ln(8292) ā 74819, and here it is 85147.
- 4
85147 has no twin: neither 85145 nor 85149 is prime.
Primes around the 8292nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8289 | 85109 | 6 |
| 8290 | 85121 | 12 |
| 8291 | 85133 | 12 |
| 8292 | 85147 | 14 |
| 8293 | 85159 | 12 |
| 8294 | 85193 | 34 |
| 8295 | 85199 | 6 |
Questions
What is the 8292nd prime number?
85147.
Which prime number is 85147?
85147 is the 8292nd prime number.
What is the sum of the first 8292 primes?
334,048,449.