What is the 2725th prime number?
The 2725th prime number is 24571. The next prime is 24593 (a gap of 22) and the one before is 24551.
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 2725th one is 24571.
- 2
24571 is prime because no prime up to ā24571 ā 156.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2725th prime is close to 2725 Ć ln(2725) ā 21555, and here it is 24571.
- 4
24571 has no twin: neither 24569 nor 24573 is prime.
Primes around the 2725th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2722 | 24533 | 6 |
| 2723 | 24547 | 14 |
| 2724 | 24551 | 4 |
| 2725 | 24571 | 20 |
| 2726 | 24593 | 22 |
| 2727 | 24611 | 18 |
| 2728 | 24623 | 12 |
Questions
What is the 2725th prime number?
24571.
Which prime number is 24571?
24571 is the 2725th prime number.
What is the sum of the first 2725 primes?
31,487,848.