What is the 8107th prime number?
The 8107th prime number is 83003. The next prime is 83009 (a gap of 6) and the one before is 82997.
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 8107th one is 83003.
- 2
83003 is prime because no prime up to ā83003 ā 288.10 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8107th prime is close to 8107 Ć ln(8107) ā 72967, and here it is 83003.
- 4
83003 has no twin: neither 83001 nor 83005 is prime.
Primes around the 8107th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8104 | 82963 | 24 |
| 8105 | 82981 | 18 |
| 8106 | 82997 | 16 |
| 8107 | 83003 | 6 |
| 8108 | 83009 | 6 |
| 8109 | 83023 | 14 |
| 8110 | 83047 | 24 |
Questions
What is the 8107th prime number?
83003.
Which prime number is 83003?
83003 is the 8107th prime number.
What is the sum of the first 8107 primes?
318,492,426.