What is the 8875th prime number?
The 8875th prime number is 91841. The next prime is 91867 (a gap of 26) and the one before is 91837.
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 8875th one is 91841.
- 2
91841 is prime because no prime up to ā91841 ā 303.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8875th prime is close to 8875 Ć ln(8875) ā 80683, and here it is 91841.
- 4
91841 has no twin: neither 91839 nor 91843 is prime.
Primes around the 8875th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8872 | 91813 | 2 |
| 8873 | 91823 | 10 |
| 8874 | 91837 | 14 |
| 8875 | 91841 | 4 |
| 8876 | 91867 | 26 |
| 8877 | 91873 | 6 |
| 8878 | 91909 | 36 |
Questions
What is the 8875th prime number?
91841.
Which prime number is 91841?
91841 is the 8875th prime number.
What is the sum of the first 8875 primes?
385,652,830.