What is the 9282nd prime number?
The 9282nd prime number is 96353. The next prime is 96377 (a gap of 24) and the one before is 96337.
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 9282nd one is 96353.
- 2
96353 is prime because no prime up to ā96353 ā 310.41 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9282nd prime is close to 9282 Ć ln(9282) ā 84799, and here it is 96353.
- 4
96353 has no twin: neither 96351 nor 96355 is prime.
Primes around the 9282nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 9279 | 96329 | 6 |
| 9280 | 96331 | 2 |
| 9281 | 96337 | 6 |
| 9282 | 96353 | 16 |
| 9283 | 96377 | 24 |
| 9284 | 96401 | 24 |
| 9285 | 96419 | 18 |
Questions
What is the 9282nd prime number?
96353.
Which prime number is 96353?
96353 is the 9282nd prime number.
What is the sum of the first 9282 primes?
423,949,917.