What is the 1100th prime number?
The 1100th prime number is 8831. The next prime is 8837 (a gap of 6) and the one before is 8821.
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 1100th one is 8831.
- 2
8831 is prime because no prime up to ā8831 ā 93.97 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1100th prime is close to 1100 Ć ln(1100) ā 7703, and here it is 8831.
- 4
8831 has no twin: neither 8829 nor 8833 is prime.
Primes around the 1100th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1097 | 8807 | 4 |
| 1098 | 8819 | 12 |
| 1099 | 8821 | 2 |
| 1100 | 8831 | 10 |
| 1101 | 8837 | 6 |
| 1102 | 8839 | 2 |
| 1103 | 8849 | 10 |
Questions
What is the 1100th prime number?
8831.
Which prime number is 8831?
8831 is the 1100th prime number.
What is the sum of the first 1100 primes?
4,522,315.