What is the 2688th prime number?
The 2688th prime number is 24137. The next prime is 24151 (a gap of 14) and the one before is 24133.
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 2688th one is 24137.
- 2
24137 is prime because no prime up to ā24137 ā 155.36 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2688th prime is close to 2688 Ć ln(2688) ā 21226, and here it is 24137.
- 4
24137 has no twin: neither 24135 nor 24139 is prime.
Primes around the 2688th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2685 | 24113 | 4 |
| 2686 | 24121 | 8 |
| 2687 | 24133 | 12 |
| 2688 | 24137 | 4 |
| 2689 | 24151 | 14 |
| 2690 | 24169 | 18 |
| 2691 | 24179 | 10 |
Questions
What is the 2688th prime number?
24137.
Which prime number is 24137?
24137 is the 2688th prime number.
What is the sum of the first 2688 primes?
30,586,223.