What is the 1098th prime number?
The 1098th prime number is 8819. The next prime is 8821 (a gap of 2) and the one before is 8807.
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 1098th one is 8819.
- 2
8819 is prime because no prime up to ā8819 ā 93.91 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1098th prime is close to 1098 Ć ln(1098) ā 7687, and here it is 8819.
- 4
8819 is a twin prime: 8819 and 8821 are both prime.
Primes around the 1098th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1095 | 8783 | 4 |
| 1096 | 8803 | 20 |
| 1097 | 8807 | 4 |
| 1098 | 8819 | 12 |
| 1099 | 8821 | 2 |
| 1100 | 8831 | 10 |
| 1101 | 8837 | 6 |
Questions
What is the 1098th prime number?
8819.
Which prime number is 8819?
8819 is the 1098th prime number.
What is the sum of the first 1098 primes?
4,504,663.