What is the 2726th prime number?
The 2726th prime number is 24593. The next prime is 24611 (a gap of 18) and the one before is 24571.
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 2726th one is 24593.
- 2
24593 is prime because no prime up to ā24593 ā 156.82 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2726th prime is close to 2726 Ć ln(2726) ā 21564, and here it is 24593.
- 4
24593 has no twin: neither 24591 nor 24595 is prime.
Primes around the 2726th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2723 | 24547 | 14 |
| 2724 | 24551 | 4 |
| 2725 | 24571 | 20 |
| 2726 | 24593 | 22 |
| 2727 | 24611 | 18 |
| 2728 | 24623 | 12 |
| 2729 | 24631 | 8 |
Questions
What is the 2726th prime number?
24593.
Which prime number is 24593?
24593 is the 2726th prime number.
What is the sum of the first 2726 primes?
31,512,441.