What is the 1102nd prime number?
The 1102nd prime number is 8839. The next prime is 8849 (a gap of 10) and the one before is 8837.
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 1102nd one is 8839.
- 2
8839 is prime because no prime up to ā8839 ā 94.02 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1102nd prime is close to 1102 Ć ln(1102) ā 7719, and here it is 8839.
- 4
8839 is a twin prime: 8837 and 8839 are both prime.
Primes around the 1102nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1099 | 8821 | 2 |
| 1100 | 8831 | 10 |
| 1101 | 8837 | 6 |
| 1102 | 8839 | 2 |
| 1103 | 8849 | 10 |
| 1104 | 8861 | 12 |
| 1105 | 8863 | 2 |
Questions
What is the 1102nd prime number?
8839.
Which prime number is 8839?
8839 is the 1102nd prime number.
What is the sum of the first 1102 primes?
4,539,991.