What is the 8879th prime number?
The 8879th prime number is 91921. The next prime is 91939 (a gap of 18) and the one before is 91909.
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 8879th one is 91921.
- 2
91921 is prime because no prime up to ā91921 ā 303.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8879th prime is close to 8879 Ć ln(8879) ā 80723, and here it is 91921.
- 4
91921 has no twin: neither 91919 nor 91923 is prime.
Primes around the 8879th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8876 | 91867 | 26 |
| 8877 | 91873 | 6 |
| 8878 | 91909 | 36 |
| 8879 | 91921 | 12 |
| 8880 | 91939 | 18 |
| 8881 | 91943 | 4 |
| 8882 | 91951 | 8 |
Questions
What is the 8879th prime number?
91921.
Which prime number is 91921?
91921 is the 8879th prime number.
What is the sum of the first 8879 primes?
386,020,400.