What is the 2640th prime number?
The 2640th prime number is 23743. The next prime is 23747 (a gap of 4) and the one before is 23741.
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 2640th one is 23743.
- 2
23743 is prime because no prime up to ā23743 ā 154.09 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2640th prime is close to 2640 Ć ln(2640) ā 20799, and here it is 23743.
- 4
23743 is a twin prime: 23741 and 23743 are both prime.
Primes around the 2640th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2637 | 23689 | 2 |
| 2638 | 23719 | 30 |
| 2639 | 23741 | 22 |
| 2640 | 23743 | 2 |
| 2641 | 23747 | 4 |
| 2642 | 23753 | 6 |
| 2643 | 23761 | 8 |
Questions
What is the 2640th prime number?
23743.
Which prime number is 23743?
23743 is the 2640th prime number.
What is the sum of the first 2640 primes?
29,436,533.