What is the 2728th prime number?
The 2728th prime number is 24623. The next prime is 24631 (a gap of 8) and the one before is 24611.
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 2728th one is 24623.
- 2
24623 is prime because no prime up to ā24623 ā 156.92 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2728th prime is close to 2728 Ć ln(2728) ā 21582, and here it is 24623.
- 4
24623 has no twin: neither 24621 nor 24625 is prime.
Primes around the 2728th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2725 | 24571 | 20 |
| 2726 | 24593 | 22 |
| 2727 | 24611 | 18 |
| 2728 | 24623 | 12 |
| 2729 | 24631 | 8 |
| 2730 | 24659 | 28 |
| 2731 | 24671 | 12 |
Questions
What is the 2728th prime number?
24623.
Which prime number is 24623?
24623 is the 2728th prime number.
What is the sum of the first 2728 primes?
31,561,675.