What is the 2683rd prime number?
The 2683rd prime number is 24107. The next prime is 24109 (a gap of 2) and the one before is 24103.
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 2683rd one is 24107.
- 2
24107 is prime because no prime up to ā24107 ā 155.26 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2683rd prime is close to 2683 Ć ln(2683) ā 21181, and here it is 24107.
- 4
24107 is a twin prime: 24107 and 24109 are both prime.
Primes around the 2683rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2680 | 24091 | 8 |
| 2681 | 24097 | 6 |
| 2682 | 24103 | 6 |
| 2683 | 24107 | 4 |
| 2684 | 24109 | 2 |
| 2685 | 24113 | 4 |
| 2686 | 24121 | 8 |
Questions
What is the 2683rd prime number?
24107.
Which prime number is 24107?
24107 is the 2683rd prime number.
What is the sum of the first 2683 primes?
30,465,610.