What is the 8108th prime number?
The 8108th prime number is 83009. The next prime is 83023 (a gap of 14) and the one before is 83003.
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 8108th one is 83009.
- 2
83009 is prime because no prime up to ā83009 ā 288.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8108th prime is close to 8108 Ć ln(8108) ā 72977, and here it is 83009.
- 4
83009 has no twin: neither 83007 nor 83011 is prime.
Primes around the 8108th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8105 | 82981 | 18 |
| 8106 | 82997 | 16 |
| 8107 | 83003 | 6 |
| 8108 | 83009 | 6 |
| 8109 | 83023 | 14 |
| 8110 | 83047 | 24 |
| 8111 | 83059 | 12 |
Questions
What is the 8108th prime number?
83009.
Which prime number is 83009?
83009 is the 8108th prime number.
What is the sum of the first 8108 primes?
318,575,435.