What is the 8118th prime number?
The 8118th prime number is 83117. The next prime is 83137 (a gap of 20) and the one before is 83101.
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 8118th one is 83117.
- 2
83117 is prime because no prime up to ā83117 ā 288.30 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8118th prime is close to 8118 Ć ln(8118) ā 73077, and here it is 83117.
- 4
83117 has no twin: neither 83115 nor 83119 is prime.
Primes around the 8118th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8115 | 83089 | 12 |
| 8116 | 83093 | 4 |
| 8117 | 83101 | 8 |
| 8118 | 83117 | 16 |
| 8119 | 83137 | 20 |
| 8120 | 83177 | 40 |
| 8121 | 83203 | 26 |
Questions
What is the 8118th prime number?
83117.
Which prime number is 83117?
83117 is the 8118th prime number.
What is the sum of the first 8118 primes?
319,406,175.