What is the 1106th prime number?
The 1106th prime number is 8867. The next prime is 8887 (a gap of 20) and the one before is 8863.
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 1106th one is 8867.
- 2
8867 is prime because no prime up to ā8867 ā 94.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1106th prime is close to 1106 Ć ln(1106) ā 7751, and here it is 8867.
- 4
8867 has no twin: neither 8865 nor 8869 is prime.
Primes around the 1106th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1103 | 8849 | 10 |
| 1104 | 8861 | 12 |
| 1105 | 8863 | 2 |
| 1106 | 8867 | 4 |
| 1107 | 8887 | 20 |
| 1108 | 8893 | 6 |
| 1109 | 8923 | 30 |
Questions
What is the 1106th prime number?
8867.
Which prime number is 8867?
8867 is the 1106th prime number.
What is the sum of the first 1106 primes?
4,575,431.