What is the 683rd prime number?
The 683rd prime number is 5107. The next prime is 5113 (a gap of 6) and the one before is 5101.
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 683rd one is 5107.
- 2
5107 is prime because no prime up to ā5107 ā 71.46 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 683rd prime is close to 683 Ć ln(683) ā 4458, and here it is 5107.
- 4
5107 has no twin: neither 5105 nor 5109 is prime.
Primes around the 683rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 680 | 5087 | 6 |
| 681 | 5099 | 12 |
| 682 | 5101 | 2 |
| 683 | 5107 | 6 |
| 684 | 5113 | 6 |
| 685 | 5119 | 6 |
| 686 | 5147 | 28 |
Questions
What is the 683rd prime number?
5107.
Which prime number is 5107?
5107 is the 683rd prime number.
What is the sum of the first 683 primes?
1,618,904.