What is the 8881st prime number?
The 8881st prime number is 91943. The next prime is 91951 (a gap of 8) and the one before is 91939.
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 8881st one is 91943.
- 2
91943 is prime because no prime up to ā91943 ā 303.22 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8881st prime is close to 8881 Ć ln(8881) ā 80743, and here it is 91943.
- 4
91943 has no twin: neither 91941 nor 91945 is prime.
Primes around the 8881st
| Position | Prime | Gap from the previous |
|---|---|---|
| 8878 | 91909 | 36 |
| 8879 | 91921 | 12 |
| 8880 | 91939 | 18 |
| 8881 | 91943 | 4 |
| 8882 | 91951 | 8 |
| 8883 | 91957 | 6 |
| 8884 | 91961 | 4 |
Questions
What is the 8881st prime number?
91943.
Which prime number is 91943?
91943 is the 8881st prime number.
What is the sum of the first 8881 primes?
386,204,282.