What is the 9284th prime number?
The 9284th prime number is 96401. The next prime is 96419 (a gap of 18) and the one before is 96377.
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 9284th one is 96401.
- 2
96401 is prime because no prime up to ā96401 ā 310.49 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9284th prime is close to 9284 Ć ln(9284) ā 84819, and here it is 96401.
- 4
96401 has no twin: neither 96399 nor 96403 is prime.
Primes around the 9284th
| Position | Prime | Gap from the previous |
|---|---|---|
| 9281 | 96337 | 6 |
| 9282 | 96353 | 16 |
| 9283 | 96377 | 24 |
| 9284 | 96401 | 24 |
| 9285 | 96419 | 18 |
| 9286 | 96431 | 12 |
| 9287 | 96443 | 12 |
Questions
What is the 9284th prime number?
96401.
Which prime number is 96401?
96401 is the 9284th prime number.
What is the sum of the first 9284 primes?
424,142,695.