What is the 8096th prime number?
The 8096th prime number is 82837. The next prime is 82847 (a gap of 10) and the one before is 82813.
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 8096th one is 82837.
- 2
82837 is prime because no prime up to ā82837 ā 287.81 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8096th prime is close to 8096 Ć ln(8096) ā 72857, and here it is 82837.
- 4
82837 has no twin: neither 82835 nor 82839 is prime.
Primes around the 8096th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8093 | 82799 | 6 |
| 8094 | 82811 | 12 |
| 8095 | 82813 | 2 |
| 8096 | 82837 | 24 |
| 8097 | 82847 | 10 |
| 8098 | 82883 | 36 |
| 8099 | 82889 | 6 |
Questions
What is the 8096th prime number?
82837.
Which prime number is 82837?
82837 is the 8096th prime number.
What is the sum of the first 8096 primes?
317,580,217.