What is the 9281st prime number?
The 9281st prime number is 96337. The next prime is 96353 (a gap of 16) and the one before is 96331.
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 9281st one is 96337.
- 2
96337 is prime because no prime up to ā96337 ā 310.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 9281st prime is close to 9281 Ć ln(9281) ā 84789, and here it is 96337.
- 4
96337 has no twin: neither 96335 nor 96339 is prime.
Primes around the 9281st
| Position | Prime | Gap from the previous |
|---|---|---|
| 9278 | 96323 | 30 |
| 9279 | 96329 | 6 |
| 9280 | 96331 | 2 |
| 9281 | 96337 | 6 |
| 9282 | 96353 | 16 |
| 9283 | 96377 | 24 |
| 9284 | 96401 | 24 |
Questions
What is the 9281st prime number?
96337.
Which prime number is 96337?
96337 is the 9281st prime number.
What is the sum of the first 9281 primes?
423,853,564.