What is the 8878th prime number?
The 8878th prime number is 91909. The next prime is 91921 (a gap of 12) and the one before is 91873.
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 8878th one is 91909.
- 2
91909 is prime because no prime up to ā91909 ā 303.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8878th prime is close to 8878 Ć ln(8878) ā 80713, and here it is 91909.
- 4
91909 has no twin: neither 91907 nor 91911 is prime.
Primes around the 8878th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8875 | 91841 | 4 |
| 8876 | 91867 | 26 |
| 8877 | 91873 | 6 |
| 8878 | 91909 | 36 |
| 8879 | 91921 | 12 |
| 8880 | 91939 | 18 |
| 8881 | 91943 | 4 |
Questions
What is the 8878th prime number?
91909.
Which prime number is 91909?
91909 is the 8878th prime number.
What is the sum of the first 8878 primes?
385,928,479.