What is the 2740th prime number?
The 2740th prime number is 24767. The next prime is 24781 (a gap of 14) and the one before is 24763.
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 2740th one is 24767.
- 2
24767 is prime because no prime up to ā24767 ā 157.38 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2740th prime is close to 2740 Ć ln(2740) ā 21689, and here it is 24767.
- 4
24767 has no twin: neither 24765 nor 24769 is prime.
Primes around the 2740th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2737 | 24733 | 24 |
| 2738 | 24749 | 16 |
| 2739 | 24763 | 14 |
| 2740 | 24767 | 4 |
| 2741 | 24781 | 14 |
| 2742 | 24793 | 12 |
| 2743 | 24799 | 6 |
Questions
What is the 2740th prime number?
24767.
Which prime number is 24767?
24767 is the 2740th prime number.
What is the sum of the first 2740 primes?
31,858,105.