What is the 1105th prime number?
The 1105th prime number is 8863. The next prime is 8867 (a gap of 4) and the one before is 8861.
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 1105th one is 8863.
- 2
8863 is prime because no prime up to ā8863 ā 94.14 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1105th prime is close to 1105 Ć ln(1105) ā 7743, and here it is 8863.
- 4
8863 is a twin prime: 8861 and 8863 are both prime.
Primes around the 1105th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1102 | 8839 | 2 |
| 1103 | 8849 | 10 |
| 1104 | 8861 | 12 |
| 1105 | 8863 | 2 |
| 1106 | 8867 | 4 |
| 1107 | 8887 | 20 |
| 1108 | 8893 | 6 |
Questions
What is the 1105th prime number?
8863.
Which prime number is 8863?
8863 is the 1105th prime number.
What is the sum of the first 1105 primes?
4,566,564.