What is the 8182nd prime number?
The 8182nd prime number is 83891. The next prime is 83903 (a gap of 12) and the one before is 83873.
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 8182nd one is 83891.
- 2
83891 is prime because no prime up to ā83891 ā 289.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8182nd prime is close to 8182 Ć ln(8182) ā 73717, and here it is 83891.
- 4
83891 has no twin: neither 83889 nor 83893 is prime.
Primes around the 8182nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8179 | 83857 | 14 |
| 8180 | 83869 | 12 |
| 8181 | 83873 | 4 |
| 8182 | 83891 | 18 |
| 8183 | 83903 | 12 |
| 8184 | 83911 | 8 |
| 8185 | 83921 | 10 |
Questions
What is the 8182nd prime number?
83891.
Which prime number is 83891?
83891 is the 8182nd prime number.
What is the sum of the first 8182 primes?
324,750,541.