What is the 8099th prime number?
The 8099th prime number is 82889. The next prime is 82891 (a gap of 2) and the one before is 82883.
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 8099th one is 82889.
- 2
82889 is prime because no prime up to ā82889 ā 287.90 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8099th prime is close to 8099 Ć ln(8099) ā 72887, and here it is 82889.
- 4
82889 is a twin prime: 82889 and 82891 are both prime.
Primes around the 8099th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8096 | 82837 | 24 |
| 8097 | 82847 | 10 |
| 8098 | 82883 | 36 |
| 8099 | 82889 | 6 |
| 8100 | 82891 | 2 |
| 8101 | 82903 | 12 |
| 8102 | 82913 | 10 |
Questions
What is the 8099th prime number?
82889.
Which prime number is 82889?
82889 is the 8099th prime number.
What is the sum of the first 8099 primes?
317,828,836.