What is the 1109th prime number?
The 1109th prime number is 8923. The next prime is 8929 (a gap of 6) and the one before is 8893.
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 1109th one is 8923.
- 2
8923 is prime because no prime up to ā8923 ā 94.46 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1109th prime is close to 1109 Ć ln(1109) ā 7775, and here it is 8923.
- 4
8923 has no twin: neither 8921 nor 8925 is prime.
Primes around the 1109th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1106 | 8867 | 4 |
| 1107 | 8887 | 20 |
| 1108 | 8893 | 6 |
| 1109 | 8923 | 30 |
| 1110 | 8929 | 6 |
| 1111 | 8933 | 4 |
| 1112 | 8941 | 8 |
Questions
What is the 1109th prime number?
8923.
Which prime number is 8923?
8923 is the 1109th prime number.
What is the sum of the first 1109 primes?
4,602,134.