What is the 1103rd prime number?
The 1103rd prime number is 8849. The next prime is 8861 (a gap of 12) and the one before is 8839.
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 1103rd one is 8849.
- 2
8849 is prime because no prime up to ā8849 ā 94.07 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1103rd prime is close to 1103 Ć ln(1103) ā 7727, and here it is 8849.
- 4
8849 has no twin: neither 8847 nor 8851 is prime.
Primes around the 1103rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1100 | 8831 | 10 |
| 1101 | 8837 | 6 |
| 1102 | 8839 | 2 |
| 1103 | 8849 | 10 |
| 1104 | 8861 | 12 |
| 1105 | 8863 | 2 |
| 1106 | 8867 | 4 |
Questions
What is the 1103rd prime number?
8849.
Which prime number is 8849?
8849 is the 1103rd prime number.
What is the sum of the first 1103 primes?
4,548,840.