What is the 2680th prime number?
The 2680th prime number is 24091. The next prime is 24097 (a gap of 6) and the one before is 24083.
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 2680th one is 24091.
- 2
24091 is prime because no prime up to ā24091 ā 155.21 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2680th prime is close to 2680 Ć ln(2680) ā 21155, and here it is 24091.
- 4
24091 has no twin: neither 24089 nor 24093 is prime.
Primes around the 2680th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2677 | 24071 | 10 |
| 2678 | 24077 | 6 |
| 2679 | 24083 | 6 |
| 2680 | 24091 | 8 |
| 2681 | 24097 | 6 |
| 2682 | 24103 | 6 |
| 2683 | 24107 | 4 |
Questions
What is the 2680th prime number?
24091.
Which prime number is 24091?
24091 is the 2680th prime number.
What is the sum of the first 2680 primes?
30,393,303.