What is the 8180th prime number?
The 8180th prime number is 83869. The next prime is 83873 (a gap of 4) and the one before is 83857.
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 8180th one is 83869.
- 2
83869 is prime because no prime up to ā83869 ā 289.60 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8180th prime is close to 8180 Ć ln(8180) ā 73697, and here it is 83869.
- 4
83869 has no twin: neither 83867 nor 83871 is prime.
Primes around the 8180th
| Position | Prime | Gap from the previous |
|---|---|---|
| 8177 | 83833 | 20 |
| 8178 | 83843 | 10 |
| 8179 | 83857 | 14 |
| 8180 | 83869 | 12 |
| 8181 | 83873 | 4 |
| 8182 | 83891 | 18 |
| 8183 | 83903 | 12 |
Questions
What is the 8180th prime number?
83869.
Which prime number is 83869?
83869 is the 8180th prime number.
What is the sum of the first 8180 primes?
324,582,777.