What is the 9276th prime number?
The 9276th prime number is 96289. The next prime is 96293 (a gap of 4) and the one before is 96281.
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 9276th one is 96289.
- 2
96289 is prime because no prime up to ā96289 ā 310.30 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9276th prime is close to 9276 Ć ln(9276) ā 84738, and here it is 96289.
- 4
96289 has no twin: neither 96287 nor 96291 is prime.
Primes around the 9276th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9273 | 96263 | 4 |
| 9274 | 96269 | 6 |
| 9275 | 96281 | 12 |
| 9276 | 96289 | 8 |
| 9277 | 96293 | 4 |
| 9278 | 96323 | 30 |
| 9279 | 96329 | 6 |
Questions
What is the 9276th prime number?
96289.
Which prime number is 96289?
96289 is the 9276th prime number.
What is the sum of the first 9276 primes?
423,371,951.