What is the 2745th prime number?
The 2745th prime number is 24821. The next prime is 24841 (a gap of 20) and the one before is 24809.
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 2745th one is 24821.
- 2
24821 is prime because no prime up to ā24821 ā 157.55 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2745th prime is close to 2745 Ć ln(2745) ā 21734, and here it is 24821.
- 4
24821 has no twin: neither 24819 nor 24823 is prime.
Primes around the 2745th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2742 | 24793 | 12 |
| 2743 | 24799 | 6 |
| 2744 | 24809 | 10 |
| 2745 | 24821 | 12 |
| 2746 | 24841 | 20 |
| 2747 | 24847 | 6 |
| 2748 | 24851 | 4 |
Questions
What is the 2745th prime number?
24821.
Which prime number is 24821?
24821 is the 2745th prime number.
What is the sum of the first 2745 primes?
31,982,108.