What is the 8098th prime number?
The 8098th prime number is 82883. The next prime is 82889 (a gap of 6) and the one before is 82847.
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 8098th one is 82883.
- 2
82883 is prime because no prime up to ā82883 ā 287.89 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8098th prime is close to 8098 Ć ln(8098) ā 72877, and here it is 82883.
- 4
82883 has no twin: neither 82881 nor 82885 is prime.
Primes around the 8098th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8095 | 82813 | 2 |
| 8096 | 82837 | 24 |
| 8097 | 82847 | 10 |
| 8098 | 82883 | 36 |
| 8099 | 82889 | 6 |
| 8100 | 82891 | 2 |
| 8101 | 82903 | 12 |
Questions
What is the 8098th prime number?
82883.
Which prime number is 82883?
82883 is the 8098th prime number.
What is the sum of the first 8098 primes?
317,745,947.