What is the 8181st prime number?
The 8181st prime number is 83873. The next prime is 83891 (a gap of 18) and the one before is 83869.
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 8181st one is 83873.
- 2
83873 is prime because no prime up to ā83873 ā 289.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8181st prime is close to 8181 Ć ln(8181) ā 73707, and here it is 83873.
- 4
83873 has no twin: neither 83871 nor 83875 is prime.
Primes around the 8181st
| Position | Prime | Gap from the previous |
|---|---|---|
| 8178 | 83843 | 10 |
| 8179 | 83857 | 14 |
| 8180 | 83869 | 12 |
| 8181 | 83873 | 4 |
| 8182 | 83891 | 18 |
| 8183 | 83903 | 12 |
| 8184 | 83911 | 8 |
Questions
What is the 8181st prime number?
83873.
Which prime number is 83873?
83873 is the 8181st prime number.
What is the sum of the first 8181 primes?
324,666,650.