What is the 9271st prime number?
The 9271st prime number is 96233. The next prime is 96259 (a gap of 26) and the one before is 96223.
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 9271st one is 96233.
- 2
96233 is prime because no prime up to ā96233 ā 310.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9271st prime is close to 9271 Ć ln(9271) ā 84687, and here it is 96233.
- 4
96233 has no twin: neither 96231 nor 96235 is prime.
Primes around the 9271st
| Position | Prime | Gap from the previous |
|---|---|---|
| 9268 | 96211 | 12 |
| 9269 | 96221 | 10 |
| 9270 | 96223 | 2 |
| 9271 | 96233 | 10 |
| 9272 | 96259 | 26 |
| 9273 | 96263 | 4 |
| 9274 | 96269 | 6 |
Questions
What is the 9271st prime number?
96233.
Which prime number is 96233?
96233 is the 9271st prime number.
What is the sum of the first 9271 primes?
422,890,590.