What is the 8135th prime number?
The 8135th prime number is 83339. The next prime is 83341 (a gap of 2) and the one before is 83311.
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 8135th one is 83339.
- 2
83339 is prime because no prime up to ā83339 ā 288.68 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8135th prime is close to 8135 Ć ln(8135) ā 73247, and here it is 83339.
- 4
83339 is a twin prime: 83339 and 83341 are both prime.
Primes around the 8135th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8132 | 83273 | 4 |
| 8133 | 83299 | 26 |
| 8134 | 83311 | 12 |
| 8135 | 83339 | 28 |
| 8136 | 83341 | 2 |
| 8137 | 83357 | 16 |
| 8138 | 83383 | 26 |
Questions
What is the 8135th prime number?
83339.
Which prime number is 83339?
83339 is the 8135th prime number.
What is the sum of the first 8135 primes?
320,821,288.