What is the 2686th prime number?
The 2686th prime number is 24121. The next prime is 24133 (a gap of 12) and the one before is 24113.
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 2686th one is 24121.
- 2
24121 is prime because no prime up to ā24121 ā 155.31 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2686th prime is close to 2686 Ć ln(2686) ā 21208, and here it is 24121.
- 4
24121 has no twin: neither 24119 nor 24123 is prime.
Primes around the 2686th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2683 | 24107 | 4 |
| 2684 | 24109 | 2 |
| 2685 | 24113 | 4 |
| 2686 | 24121 | 8 |
| 2687 | 24133 | 12 |
| 2688 | 24137 | 4 |
| 2689 | 24151 | 14 |
Questions
What is the 2686th prime number?
24121.
Which prime number is 24121?
24121 is the 2686th prime number.
What is the sum of the first 2686 primes?
30,537,953.