What is the 8885th prime number?
The 8885th prime number is 91967. The next prime is 91969 (a gap of 2) and the one before is 91961.
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 8885th one is 91967.
- 2
91967 is prime because no prime up to ā91967 ā 303.26 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8885th prime is close to 8885 Ć ln(8885) ā 80783, and here it is 91967.
- 4
91967 is a twin prime: 91967 and 91969 are both prime.
Primes around the 8885th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8882 | 91951 | 8 |
| 8883 | 91957 | 6 |
| 8884 | 91961 | 4 |
| 8885 | 91967 | 6 |
| 8886 | 91969 | 2 |
| 8887 | 91997 | 28 |
| 8888 | 92003 | 6 |
Questions
What is the 8885th prime number?
91967.
Which prime number is 91967?
91967 is the 8885th prime number.
What is the sum of the first 8885 primes?
386,572,118.