What is the 9278th prime number?
The 9278th prime number is 96323. The next prime is 96329 (a gap of 6) and the one before is 96293.
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 9278th one is 96323.
- 2
96323 is prime because no prime up to ā96323 ā 310.36 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9278th prime is close to 9278 Ć ln(9278) ā 84758, and here it is 96323.
- 4
96323 has no twin: neither 96321 nor 96325 is prime.
Primes around the 9278th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9275 | 96281 | 12 |
| 9276 | 96289 | 8 |
| 9277 | 96293 | 4 |
| 9278 | 96323 | 30 |
| 9279 | 96329 | 6 |
| 9280 | 96331 | 2 |
| 9281 | 96337 | 6 |
Questions
What is the 9278th prime number?
96323.
Which prime number is 96323?
96323 is the 9278th prime number.
What is the sum of the first 9278 primes?
423,564,567.