What is the 8134th prime number?
The 8134th prime number is 83311. The next prime is 83339 (a gap of 28) and the one before is 83299.
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 8134th one is 83311.
- 2
83311 is prime because no prime up to ā83311 ā 288.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8134th prime is close to 8134 Ć ln(8134) ā 73237, and here it is 83311.
- 4
83311 has no twin: neither 83309 nor 83313 is prime.
Primes around the 8134th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8131 | 83269 | 2 |
| 8132 | 83273 | 4 |
| 8133 | 83299 | 26 |
| 8134 | 83311 | 12 |
| 8135 | 83339 | 28 |
| 8136 | 83341 | 2 |
| 8137 | 83357 | 16 |
Questions
What is the 8134th prime number?
83311.
Which prime number is 83311?
83311 is the 8134th prime number.
What is the sum of the first 8134 primes?
320,737,949.