What is the 2723rd prime number?
The 2723rd prime number is 24547. The next prime is 24551 (a gap of 4) and the one before is 24533.
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 2723rd one is 24547.
- 2
24547 is prime because no prime up to ā24547 ā 156.67 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2723rd prime is close to 2723 Ć ln(2723) ā 21538, and here it is 24547.
- 4
24547 has no twin: neither 24545 nor 24549 is prime.
Primes around the 2723rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2720 | 24517 | 8 |
| 2721 | 24527 | 10 |
| 2722 | 24533 | 6 |
| 2723 | 24547 | 14 |
| 2724 | 24551 | 4 |
| 2725 | 24571 | 20 |
| 2726 | 24593 | 22 |
Questions
What is the 2723rd prime number?
24547.
Which prime number is 24547?
24547 is the 2723rd prime number.
What is the sum of the first 2723 primes?
31,438,726.