What is the 2743rd prime number?
The 2743rd prime number is 24799. The next prime is 24809 (a gap of 10) and the one before is 24793.
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 2743rd one is 24799.
- 2
24799 is prime because no prime up to ā24799 ā 157.48 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2743rd prime is close to 2743 Ć ln(2743) ā 21716, and here it is 24799.
- 4
24799 has no twin: neither 24797 nor 24801 is prime.
Primes around the 2743rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2740 | 24767 | 4 |
| 2741 | 24781 | 14 |
| 2742 | 24793 | 12 |
| 2743 | 24799 | 6 |
| 2744 | 24809 | 10 |
| 2745 | 24821 | 12 |
| 2746 | 24841 | 20 |
Questions
What is the 2743rd prime number?
24799.
Which prime number is 24799?
24799 is the 2743rd prime number.
What is the sum of the first 2743 primes?
31,932,478.