What is the 9274th prime number?
The 9274th prime number is 96269. The next prime is 96281 (a gap of 12) and the one before is 96263.
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 9274th one is 96269.
- 2
96269 is prime because no prime up to ā96269 ā 310.27 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9274th prime is close to 9274 Ć ln(9274) ā 84718, and here it is 96269.
- 4
96269 has no twin: neither 96267 nor 96271 is prime.
Primes around the 9274th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9271 | 96233 | 10 |
| 9272 | 96259 | 26 |
| 9273 | 96263 | 4 |
| 9274 | 96269 | 6 |
| 9275 | 96281 | 12 |
| 9276 | 96289 | 8 |
| 9277 | 96293 | 4 |
Questions
What is the 9274th prime number?
96269.
Which prime number is 96269?
96269 is the 9274th prime number.
What is the sum of the first 9274 primes?
423,179,381.