What is the 8828th prime number?
The 8828th prime number is 91291. The next prime is 91297 (a gap of 6) and the one before is 91283.
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 8828th one is 91291.
- 2
91291 is prime because no prime up to ā91291 ā 302.14 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8828th prime is close to 8828 Ć ln(8828) ā 80208, and here it is 91291.
- 4
91291 has no twin: neither 91289 nor 91293 is prime.
Primes around the 8828th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8825 | 91249 | 6 |
| 8826 | 91253 | 4 |
| 8827 | 91283 | 30 |
| 8828 | 91291 | 8 |
| 8829 | 91297 | 6 |
| 8830 | 91303 | 6 |
| 8831 | 91309 | 6 |
Questions
What is the 8828th prime number?
91291.
Which prime number is 91291?
91291 is the 8828th prime number.
What is the sum of the first 8828 primes?
381,349,157.