What is the 8114th prime number?
The 8114th prime number is 83077. The next prime is 83089 (a gap of 12) and the one before is 83071.
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 8114th one is 83077.
- 2
83077 is prime because no prime up to ā83077 ā 288.23 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8114th prime is close to 8114 Ć ln(8114) ā 73037, and here it is 83077.
- 4
83077 has no twin: neither 83075 nor 83079 is prime.
Primes around the 8114th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8111 | 83059 | 12 |
| 8112 | 83063 | 4 |
| 8113 | 83071 | 8 |
| 8114 | 83077 | 6 |
| 8115 | 83089 | 12 |
| 8116 | 83093 | 4 |
| 8117 | 83101 | 8 |
Questions
What is the 8114th prime number?
83077.
Which prime number is 83077?
83077 is the 8114th prime number.
What is the sum of the first 8114 primes?
319,073,775.