What is the 8179th prime number?
The 8179th prime number is 83857. The next prime is 83869 (a gap of 12) and the one before is 83843.
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 8179th one is 83857.
- 2
83857 is prime because no prime up to ā83857 ā 289.58 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8179th prime is close to 8179 Ć ln(8179) ā 73687, and here it is 83857.
- 4
83857 has no twin: neither 83855 nor 83859 is prime.
Primes around the 8179th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8176 | 83813 | 22 |
| 8177 | 83833 | 20 |
| 8178 | 83843 | 10 |
| 8179 | 83857 | 14 |
| 8180 | 83869 | 12 |
| 8181 | 83873 | 4 |
| 8182 | 83891 | 18 |
Questions
What is the 8179th prime number?
83857.
Which prime number is 83857?
83857 is the 8179th prime number.
What is the sum of the first 8179 primes?
324,498,908.