What is the 8109th prime number?
The 8109th prime number is 83023. The next prime is 83047 (a gap of 24) and the one before is 83009.
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 8109th one is 83023.
- 2
83023 is prime because no prime up to ā83023 ā 288.14 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8109th prime is close to 8109 Ć ln(8109) ā 72987, and here it is 83023.
- 4
83023 has no twin: neither 83021 nor 83025 is prime.
Primes around the 8109th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8106 | 82997 | 16 |
| 8107 | 83003 | 6 |
| 8108 | 83009 | 6 |
| 8109 | 83023 | 14 |
| 8110 | 83047 | 24 |
| 8111 | 83059 | 12 |
| 8112 | 83063 | 4 |
Questions
What is the 8109th prime number?
83023.
Which prime number is 83023?
83023 is the 8109th prime number.
What is the sum of the first 8109 primes?
318,658,458.