What is the 8839th prime number?
The 8839th prime number is 91397. The next prime is 91411 (a gap of 14) and the one before is 91393.
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 8839th one is 91397.
- 2
91397 is prime because no prime up to ā91397 ā 302.32 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8839th prime is close to 8839 Ć ln(8839) ā 80319, and here it is 91397.
- 4
91397 has no twin: neither 91395 nor 91399 is prime.
Primes around the 8839th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8836 | 91381 | 8 |
| 8837 | 91387 | 6 |
| 8838 | 91393 | 6 |
| 8839 | 91397 | 4 |
| 8840 | 91411 | 14 |
| 8841 | 91423 | 12 |
| 8842 | 91433 | 10 |
Questions
What is the 8839th prime number?
91397.
Which prime number is 91397?
91397 is the 8839th prime number.
What is the sum of the first 8839 primes?
382,354,064.