What is the 8136th prime number?
The 8136th prime number is 83341. The next prime is 83357 (a gap of 16) and the one before is 83339.
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 8136th one is 83341.
- 2
83341 is prime because no prime up to ā83341 ā 288.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8136th prime is close to 8136 Ć ln(8136) ā 73257, and here it is 83341.
- 4
83341 is a twin prime: 83339 and 83341 are both prime.
Primes around the 8136th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8133 | 83299 | 26 |
| 8134 | 83311 | 12 |
| 8135 | 83339 | 28 |
| 8136 | 83341 | 2 |
| 8137 | 83357 | 16 |
| 8138 | 83383 | 26 |
| 8139 | 83389 | 6 |
Questions
What is the 8136th prime number?
83341.
Which prime number is 83341?
83341 is the 8136th prime number.
What is the sum of the first 8136 primes?
320,904,629.