What is the 2681st prime number?
The 2681st prime number is 24097. The next prime is 24103 (a gap of 6) and the one before is 24091.
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 2681st one is 24097.
- 2
24097 is prime because no prime up to ā24097 ā 155.23 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2681st prime is close to 2681 Ć ln(2681) ā 21164, and here it is 24097.
- 4
24097 has no twin: neither 24095 nor 24099 is prime.
Primes around the 2681st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2678 | 24077 | 6 |
| 2679 | 24083 | 6 |
| 2680 | 24091 | 8 |
| 2681 | 24097 | 6 |
| 2682 | 24103 | 6 |
| 2683 | 24107 | 4 |
| 2684 | 24109 | 2 |
Questions
What is the 2681st prime number?
24097.
Which prime number is 24097?
24097 is the 2681st prime number.
What is the sum of the first 2681 primes?
30,417,400.