What is the 8115th prime number?
The 8115th prime number is 83089. The next prime is 83093 (a gap of 4) and the one before is 83077.
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 8115th one is 83089.
- 2
83089 is prime because no prime up to ā83089 ā 288.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8115th prime is close to 8115 Ć ln(8115) ā 73047, and here it is 83089.
- 4
83089 has no twin: neither 83087 nor 83091 is prime.
Primes around the 8115th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8112 | 83063 | 4 |
| 8113 | 83071 | 8 |
| 8114 | 83077 | 6 |
| 8115 | 83089 | 12 |
| 8116 | 83093 | 4 |
| 8117 | 83101 | 8 |
| 8118 | 83117 | 16 |
Questions
What is the 8115th prime number?
83089.
Which prime number is 83089?
83089 is the 8115th prime number.
What is the sum of the first 8115 primes?
319,156,864.