What is the 9272nd prime number?
The 9272nd prime number is 96259. The next prime is 96263 (a gap of 4) and the one before is 96233.
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 9272nd one is 96259.
- 2
96259 is prime because no prime up to ā96259 ā 310.26 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9272nd prime is close to 9272 Ć ln(9272) ā 84697, and here it is 96259.
- 4
96259 has no twin: neither 96257 nor 96261 is prime.
Primes around the 9272nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9269 | 96221 | 10 |
| 9270 | 96223 | 2 |
| 9271 | 96233 | 10 |
| 9272 | 96259 | 26 |
| 9273 | 96263 | 4 |
| 9274 | 96269 | 6 |
| 9275 | 96281 | 12 |
Questions
What is the 9272nd prime number?
96259.
Which prime number is 96259?
96259 is the 9272nd prime number.
What is the sum of the first 9272 primes?
422,986,849.