What is the 2744th prime number?
The 2744th prime number is 24809. The next prime is 24821 (a gap of 12) and the one before is 24799.
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 2744th one is 24809.
- 2
24809 is prime because no prime up to ā24809 ā 157.51 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2744th prime is close to 2744 Ć ln(2744) ā 21725, and here it is 24809.
- 4
24809 has no twin: neither 24807 nor 24811 is prime.
Primes around the 2744th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2741 | 24781 | 14 |
| 2742 | 24793 | 12 |
| 2743 | 24799 | 6 |
| 2744 | 24809 | 10 |
| 2745 | 24821 | 12 |
| 2746 | 24841 | 20 |
| 2747 | 24847 | 6 |
Questions
What is the 2744th prime number?
24809.
Which prime number is 24809?
24809 is the 2744th prime number.
What is the sum of the first 2744 primes?
31,957,287.