What is the 8092nd prime number?
The 8092nd prime number is 82793. The next prime is 82799 (a gap of 6) and the one before is 82787.
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 8092nd one is 82793.
- 2
82793 is prime because no prime up to ā82793 ā 287.74 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8092nd prime is close to 8092 Ć ln(8092) ā 72817, and here it is 82793.
- 4
82793 has no twin: neither 82791 nor 82795 is prime.
Primes around the 8092nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8089 | 82763 | 4 |
| 8090 | 82781 | 18 |
| 8091 | 82787 | 6 |
| 8092 | 82793 | 6 |
| 8093 | 82799 | 6 |
| 8094 | 82811 | 12 |
| 8095 | 82813 | 2 |
Questions
What is the 8092nd prime number?
82793.
Which prime number is 82793?
82793 is the 8092nd prime number.
What is the sum of the first 8092 primes?
317,248,957.