What is the 8093rd prime number?
The 8093rd prime number is 82799. The next prime is 82811 (a gap of 12) and the one before is 82793.
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 8093rd one is 82799.
- 2
82799 is prime because no prime up to ā82799 ā 287.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8093rd prime is close to 8093 Ć ln(8093) ā 72827, and here it is 82799.
- 4
82799 has no twin: neither 82797 nor 82801 is prime.
Primes around the 8093rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8090 | 82781 | 18 |
| 8091 | 82787 | 6 |
| 8092 | 82793 | 6 |
| 8093 | 82799 | 6 |
| 8094 | 82811 | 12 |
| 8095 | 82813 | 2 |
| 8096 | 82837 | 24 |
Questions
What is the 8093rd prime number?
82799.
Which prime number is 82799?
82799 is the 8093rd prime number.
What is the sum of the first 8093 primes?
317,331,756.