What is the 8884th prime number?
The 8884th prime number is 91961. The next prime is 91967 (a gap of 6) and the one before is 91957.
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 8884th one is 91961.
- 2
91961 is prime because no prime up to ā91961 ā 303.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8884th prime is close to 8884 Ć ln(8884) ā 80773, and here it is 91961.
- 4
91961 has no twin: neither 91959 nor 91963 is prime.
Primes around the 8884th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8881 | 91943 | 4 |
| 8882 | 91951 | 8 |
| 8883 | 91957 | 6 |
| 8884 | 91961 | 4 |
| 8885 | 91967 | 6 |
| 8886 | 91969 | 2 |
| 8887 | 91997 | 28 |
Questions
What is the 8884th prime number?
91961.
Which prime number is 91961?
91961 is the 8884th prime number.
What is the sum of the first 8884 primes?
386,480,151.