What is the 8091st prime number?
The 8091st prime number is 82787. The next prime is 82793 (a gap of 6) and the one before is 82781.
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 8091st one is 82787.
- 2
82787 is prime because no prime up to ā82787 ā 287.73 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8091st prime is close to 8091 Ć ln(8091) ā 72807, and here it is 82787.
- 4
82787 has no twin: neither 82785 nor 82789 is prime.
Primes around the 8091st
| Position | Prime | Gap from the previous |
|---|---|---|
| 8088 | 82759 | 2 |
| 8089 | 82763 | 4 |
| 8090 | 82781 | 18 |
| 8091 | 82787 | 6 |
| 8092 | 82793 | 6 |
| 8093 | 82799 | 6 |
| 8094 | 82811 | 12 |
Questions
What is the 8091st prime number?
82787.
Which prime number is 82787?
82787 is the 8091st prime number.
What is the sum of the first 8091 primes?
317,166,164.