What is the 1104th prime number?
The 1104th prime number is 8861. The next prime is 8863 (a gap of 2) and the one before is 8849.
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 1104th one is 8861.
- 2
8861 is prime because no prime up to ā8861 ā 94.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1104th prime is close to 1104 Ć ln(1104) ā 7735, and here it is 8861.
- 4
8861 is a twin prime: 8861 and 8863 are both prime.
Primes around the 1104th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1101 | 8837 | 6 |
| 1102 | 8839 | 2 |
| 1103 | 8849 | 10 |
| 1104 | 8861 | 12 |
| 1105 | 8863 | 2 |
| 1106 | 8867 | 4 |
| 1107 | 8887 | 20 |
Questions
What is the 1104th prime number?
8861.
Which prime number is 8861?
8861 is the 1104th prime number.
What is the sum of the first 1104 primes?
4,557,701.