What is the 1108th prime number?
The 1108th prime number is 8893. The next prime is 8923 (a gap of 30) and the one before is 8887.
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 1108th one is 8893.
- 2
8893 is prime because no prime up to ā8893 ā 94.30 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1108th prime is close to 1108 Ć ln(1108) ā 7767, and here it is 8893.
- 4
8893 has no twin: neither 8891 nor 8895 is prime.
Primes around the 1108th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1105 | 8863 | 2 |
| 1106 | 8867 | 4 |
| 1107 | 8887 | 20 |
| 1108 | 8893 | 6 |
| 1109 | 8923 | 30 |
| 1110 | 8929 | 6 |
| 1111 | 8933 | 4 |
Questions
What is the 1108th prime number?
8893.
Which prime number is 8893?
8893 is the 1108th prime number.
What is the sum of the first 1108 primes?
4,593,211.