What is the 8183rd prime number?
The 8183rd prime number is 83903. The next prime is 83911 (a gap of 8) and the one before is 83891.
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 8183rd one is 83903.
- 2
83903 is prime because no prime up to ā83903 ā 289.66 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 8183rd prime is close to 8183 Ć ln(8183) ā 73727, and here it is 83903.
- 4
83903 has no twin: neither 83901 nor 83905 is prime.
Primes around the 8183rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 8180 | 83869 | 12 |
| 8181 | 83873 | 4 |
| 8182 | 83891 | 18 |
| 8183 | 83903 | 12 |
| 8184 | 83911 | 8 |
| 8185 | 83921 | 10 |
| 8186 | 83933 | 12 |
Questions
What is the 8183rd prime number?
83903.
Which prime number is 83903?
83903 is the 8183rd prime number.
What is the sum of the first 8183 primes?
324,834,444.