What is the 2689th prime number?
The 2689th prime number is 24151. The next prime is 24169 (a gap of 18) and the one before is 24137.
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 2689th one is 24151.
- 2
24151 is prime because no prime up to ā24151 ā 155.41 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2689th prime is close to 2689 Ć ln(2689) ā 21235, and here it is 24151.
- 4
24151 has no twin: neither 24149 nor 24153 is prime.
Primes around the 2689th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2686 | 24121 | 8 |
| 2687 | 24133 | 12 |
| 2688 | 24137 | 4 |
| 2689 | 24151 | 14 |
| 2690 | 24169 | 18 |
| 2691 | 24179 | 10 |
| 2692 | 24181 | 2 |
Questions
What is the 2689th prime number?
24151.
Which prime number is 24151?
24151 is the 2689th prime number.
What is the sum of the first 2689 primes?
30,610,374.