What is the 2729th prime number?
The 2729th prime number is 24631. The next prime is 24659 (a gap of 28) and the one before is 24623.
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 2729th one is 24631.
- 2
24631 is prime because no prime up to ā24631 ā 156.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2729th prime is close to 2729 Ć ln(2729) ā 21591, and here it is 24631.
- 4
24631 has no twin: neither 24629 nor 24633 is prime.
Primes around the 2729th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2726 | 24593 | 22 |
| 2727 | 24611 | 18 |
| 2728 | 24623 | 12 |
| 2729 | 24631 | 8 |
| 2730 | 24659 | 28 |
| 2731 | 24671 | 12 |
| 2732 | 24677 | 6 |
Questions
What is the 2729th prime number?
24631.
Which prime number is 24631?
24631 is the 2729th prime number.
What is the sum of the first 2729 primes?
31,586,306.