What is the 8838th prime number?
The 8838th prime number is 91393. The next prime is 91397 (a gap of 4) and the one before is 91387.
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 8838th one is 91393.
- 2
91393 is prime because no prime up to ā91393 ā 302.31 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8838th prime is close to 8838 Ć ln(8838) ā 80309, and here it is 91393.
- 4
91393 has no twin: neither 91391 nor 91395 is prime.
Primes around the 8838th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8835 | 91373 | 4 |
| 8836 | 91381 | 8 |
| 8837 | 91387 | 6 |
| 8838 | 91393 | 6 |
| 8839 | 91397 | 4 |
| 8840 | 91411 | 14 |
| 8841 | 91423 | 12 |
Questions
What is the 8838th prime number?
91393.
Which prime number is 91393?
91393 is the 8838th prime number.
What is the sum of the first 8838 primes?
382,262,667.