What is the 8883rd prime number?
The 8883rd prime number is 91957. The next prime is 91961 (a gap of 4) and the one before is 91951.
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 8883rd one is 91957.
- 2
91957 is prime because no prime up to ā91957 ā 303.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8883rd prime is close to 8883 Ć ln(8883) ā 80763, and here it is 91957.
- 4
91957 has no twin: neither 91955 nor 91959 is prime.
Primes around the 8883rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8880 | 91939 | 18 |
| 8881 | 91943 | 4 |
| 8882 | 91951 | 8 |
| 8883 | 91957 | 6 |
| 8884 | 91961 | 4 |
| 8885 | 91967 | 6 |
| 8886 | 91969 | 2 |
Questions
What is the 8883rd prime number?
91957.
Which prime number is 91957?
91957 is the 8883rd prime number.
What is the sum of the first 8883 primes?
386,388,190.