What is the 8094th prime number?
The 8094th prime number is 82811. The next prime is 82813 (a gap of 2) and the one before is 82799.
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 8094th one is 82811.
- 2
82811 is prime because no prime up to ā82811 ā 287.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8094th prime is close to 8094 Ć ln(8094) ā 72837, and here it is 82811.
- 4
82811 is a twin prime: 82811 and 82813 are both prime.
Primes around the 8094th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8091 | 82787 | 6 |
| 8092 | 82793 | 6 |
| 8093 | 82799 | 6 |
| 8094 | 82811 | 12 |
| 8095 | 82813 | 2 |
| 8096 | 82837 | 24 |
| 8097 | 82847 | 10 |
Questions
What is the 8094th prime number?
82811.
Which prime number is 82811?
82811 is the 8094th prime number.
What is the sum of the first 8094 primes?
317,414,567.