What is the 1107th prime number?
The 1107th prime number is 8887. The next prime is 8893 (a gap of 6) and the one before is 8867.
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 1107th one is 8887.
- 2
8887 is prime because no prime up to ā8887 ā 94.27 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1107th prime is close to 1107 Ć ln(1107) ā 7759, and here it is 8887.
- 4
8887 has no twin: neither 8885 nor 8889 is prime.
Primes around the 1107th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1104 | 8861 | 12 |
| 1105 | 8863 | 2 |
| 1106 | 8867 | 4 |
| 1107 | 8887 | 20 |
| 1108 | 8893 | 6 |
| 1109 | 8923 | 30 |
| 1110 | 8929 | 6 |
Questions
What is the 1107th prime number?
8887.
Which prime number is 8887?
8887 is the 1107th prime number.
What is the sum of the first 1107 primes?
4,584,318.