What is the 8116th prime number?
The 8116th prime number is 83093. The next prime is 83101 (a gap of 8) and the one before is 83089.
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 8116th one is 83093.
- 2
83093 is prime because no prime up to ā83093 ā 288.26 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8116th prime is close to 8116 Ć ln(8116) ā 73057, and here it is 83093.
- 4
83093 has no twin: neither 83091 nor 83095 is prime.
Primes around the 8116th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8113 | 83071 | 8 |
| 8114 | 83077 | 6 |
| 8115 | 83089 | 12 |
| 8116 | 83093 | 4 |
| 8117 | 83101 | 8 |
| 8118 | 83117 | 16 |
| 8119 | 83137 | 20 |
Questions
What is the 8116th prime number?
83093.
Which prime number is 83093?
83093 is the 8116th prime number.
What is the sum of the first 8116 primes?
319,239,957.