What is the 8097th prime number?
The 8097th prime number is 82847. The next prime is 82883 (a gap of 36) and the one before is 82837.
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 8097th one is 82847.
- 2
82847 is prime because no prime up to ā82847 ā 287.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8097th prime is close to 8097 Ć ln(8097) ā 72867, and here it is 82847.
- 4
82847 has no twin: neither 82845 nor 82849 is prime.
Primes around the 8097th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8094 | 82811 | 12 |
| 8095 | 82813 | 2 |
| 8096 | 82837 | 24 |
| 8097 | 82847 | 10 |
| 8098 | 82883 | 36 |
| 8099 | 82889 | 6 |
| 8100 | 82891 | 2 |
Questions
What is the 8097th prime number?
82847.
Which prime number is 82847?
82847 is the 8097th prime number.
What is the sum of the first 8097 primes?
317,663,064.