What is the 2685th prime number?
The 2685th prime number is 24113. The next prime is 24121 (a gap of 8) and the one before is 24109.
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 2685th one is 24113.
- 2
24113 is prime because no prime up to ā24113 ā 155.28 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2685th prime is close to 2685 Ć ln(2685) ā 21199, and here it is 24113.
- 4
24113 has no twin: neither 24111 nor 24115 is prime.
Primes around the 2685th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2682 | 24103 | 6 |
| 2683 | 24107 | 4 |
| 2684 | 24109 | 2 |
| 2685 | 24113 | 4 |
| 2686 | 24121 | 8 |
| 2687 | 24133 | 12 |
| 2688 | 24137 | 4 |
Questions
What is the 2685th prime number?
24113.
Which prime number is 24113?
24113 is the 2685th prime number.
What is the sum of the first 2685 primes?
30,513,832.