What is the 2687th prime number?
The 2687th prime number is 24133. The next prime is 24137 (a gap of 4) and the one before is 24121.
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 2687th one is 24133.
- 2
24133 is prime because no prime up to ā24133 ā 155.35 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2687th prime is close to 2687 Ć ln(2687) ā 21217, and here it is 24133.
- 4
24133 has no twin: neither 24131 nor 24135 is prime.
Primes around the 2687th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2684 | 24109 | 2 |
| 2685 | 24113 | 4 |
| 2686 | 24121 | 8 |
| 2687 | 24133 | 12 |
| 2688 | 24137 | 4 |
| 2689 | 24151 | 14 |
| 2690 | 24169 | 18 |
Questions
What is the 2687th prime number?
24133.
Which prime number is 24133?
24133 is the 2687th prime number.
What is the sum of the first 2687 primes?
30,562,086.