What is the 2639th prime number?
The 2639th prime number is 23741. The next prime is 23743 (a gap of 2) and the one before is 23719.
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 2639th one is 23741.
- 2
23741 is prime because no prime up to ā23741 ā 154.08 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2639th prime is close to 2639 Ć ln(2639) ā 20790, and here it is 23741.
- 4
23741 is a twin prime: 23741 and 23743 are both prime.
Primes around the 2639th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2636 | 23687 | 10 |
| 2637 | 23689 | 2 |
| 2638 | 23719 | 30 |
| 2639 | 23741 | 22 |
| 2640 | 23743 | 2 |
| 2641 | 23747 | 4 |
| 2642 | 23753 | 6 |
Questions
What is the 2639th prime number?
23741.
Which prime number is 23741?
23741 is the 2639th prime number.
What is the sum of the first 2639 primes?
29,412,790.