What is the 9275th prime number?
The 9275th prime number is 96281. The next prime is 96289 (a gap of 8) and the one before is 96269.
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 9275th one is 96281.
- 2
96281 is prime because no prime up to ā96281 ā 310.29 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9275th prime is close to 9275 Ć ln(9275) ā 84728, and here it is 96281.
- 4
96281 has no twin: neither 96279 nor 96283 is prime.
Primes around the 9275th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9272 | 96259 | 26 |
| 9273 | 96263 | 4 |
| 9274 | 96269 | 6 |
| 9275 | 96281 | 12 |
| 9276 | 96289 | 8 |
| 9277 | 96293 | 4 |
| 9278 | 96323 | 30 |
Questions
What is the 9275th prime number?
96281.
Which prime number is 96281?
96281 is the 9275th prime number.
What is the sum of the first 9275 primes?
423,275,662.