What is the 2724th prime number?
The 2724th prime number is 24551. The next prime is 24571 (a gap of 20) and the one before is 24547.
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 2724th one is 24551.
- 2
24551 is prime because no prime up to ā24551 ā 156.69 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2724th prime is close to 2724 Ć ln(2724) ā 21546, and here it is 24551.
- 4
24551 has no twin: neither 24549 nor 24553 is prime.
Primes around the 2724th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2721 | 24527 | 10 |
| 2722 | 24533 | 6 |
| 2723 | 24547 | 14 |
| 2724 | 24551 | 4 |
| 2725 | 24571 | 20 |
| 2726 | 24593 | 22 |
| 2727 | 24611 | 18 |
Questions
What is the 2724th prime number?
24551.
Which prime number is 24551?
24551 is the 2724th prime number.
What is the sum of the first 2724 primes?
31,463,277.