What is the 8095th prime number?
The 8095th prime number is 82813. The next prime is 82837 (a gap of 24) and the one before is 82811.
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 8095th one is 82813.
- 2
82813 is prime because no prime up to ā82813 ā 287.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8095th prime is close to 8095 Ć ln(8095) ā 72847, and here it is 82813.
- 4
82813 is a twin prime: 82811 and 82813 are both prime.
Primes around the 8095th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8092 | 82793 | 6 |
| 8093 | 82799 | 6 |
| 8094 | 82811 | 12 |
| 8095 | 82813 | 2 |
| 8096 | 82837 | 24 |
| 8097 | 82847 | 10 |
| 8098 | 82883 | 36 |
Questions
What is the 8095th prime number?
82813.
Which prime number is 82813?
82813 is the 8095th prime number.
What is the sum of the first 8095 primes?
317,497,380.