What is the 2730th prime number?
The 2730th prime number is 24659. The next prime is 24671 (a gap of 12) and the one before is 24631.
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 2730th one is 24659.
- 2
24659 is prime because no prime up to ā24659 ā 157.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2730th prime is close to 2730 Ć ln(2730) ā 21600, and here it is 24659.
- 4
24659 has no twin: neither 24657 nor 24661 is prime.
Primes around the 2730th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2727 | 24611 | 18 |
| 2728 | 24623 | 12 |
| 2729 | 24631 | 8 |
| 2730 | 24659 | 28 |
| 2731 | 24671 | 12 |
| 2732 | 24677 | 6 |
| 2733 | 24683 | 6 |
Questions
What is the 2730th prime number?
24659.
Which prime number is 24659?
24659 is the 2730th prime number.
What is the sum of the first 2730 primes?
31,610,965.