What is the 8830th prime number?
The 8830th prime number is 91303. The next prime is 91309 (a gap of 6) and the one before is 91297.
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 8830th one is 91303.
- 2
91303 is prime because no prime up to ā91303 ā 302.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8830th prime is close to 8830 Ć ln(8830) ā 80229, and here it is 91303.
- 4
91303 has no twin: neither 91301 nor 91305 is prime.
Primes around the 8830th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8827 | 91283 | 30 |
| 8828 | 91291 | 8 |
| 8829 | 91297 | 6 |
| 8830 | 91303 | 6 |
| 8831 | 91309 | 6 |
| 8832 | 91331 | 22 |
| 8833 | 91367 | 36 |
Questions
What is the 8830th prime number?
91303.
Which prime number is 91303?
91303 is the 8830th prime number.
What is the sum of the first 8830 primes?
381,531,757.