What is the 1099th prime number?
The 1099th prime number is 8821. The next prime is 8831 (a gap of 10) and the one before is 8819.
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 1099th one is 8821.
- 2
8821 is prime because no prime up to ā8821 ā 93.92 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1099th prime is close to 1099 Ć ln(1099) ā 7695, and here it is 8821.
- 4
8821 is a twin prime: 8819 and 8821 are both prime.
Primes around the 1099th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1096 | 8803 | 20 |
| 1097 | 8807 | 4 |
| 1098 | 8819 | 12 |
| 1099 | 8821 | 2 |
| 1100 | 8831 | 10 |
| 1101 | 8837 | 6 |
| 1102 | 8839 | 2 |
Questions
What is the 1099th prime number?
8821.
Which prime number is 8821?
8821 is the 1099th prime number.
What is the sum of the first 1099 primes?
4,513,484.