What is the 8120th prime number?
The 8120th prime number is 83177. The next prime is 83203 (a gap of 26) and the one before is 83137.
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 8120th one is 83177.
- 2
83177 is prime because no prime up to ā83177 ā 288.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8120th prime is close to 8120 Ć ln(8120) ā 73097, and here it is 83177.
- 4
83177 has no twin: neither 83175 nor 83179 is prime.
Primes around the 8120th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8117 | 83101 | 8 |
| 8118 | 83117 | 16 |
| 8119 | 83137 | 20 |
| 8120 | 83177 | 40 |
| 8121 | 83203 | 26 |
| 8122 | 83207 | 4 |
| 8123 | 83219 | 12 |
Questions
What is the 8120th prime number?
83177.
Which prime number is 83177?
83177 is the 8120th prime number.
What is the sum of the first 8120 primes?
319,572,489.