What is the 2638th prime number?
The 2638th prime number is 23719. The next prime is 23741 (a gap of 22) and the one before is 23689.
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 2638th one is 23719.
- 2
23719 is prime because no prime up to ā23719 ā 154.01 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2638th prime is close to 2638 Ć ln(2638) ā 20782, and here it is 23719.
- 4
23719 has no twin: neither 23717 nor 23721 is prime.
Primes around the 2638th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2635 | 23677 | 6 |
| 2636 | 23687 | 10 |
| 2637 | 23689 | 2 |
| 2638 | 23719 | 30 |
| 2639 | 23741 | 22 |
| 2640 | 23743 | 2 |
| 2641 | 23747 | 4 |
Questions
What is the 2638th prime number?
23719.
Which prime number is 23719?
23719 is the 2638th prime number.
What is the sum of the first 2638 primes?
29,389,049.