What is the 2682nd prime number?
The 2682nd prime number is 24103. The next prime is 24107 (a gap of 4) and the one before is 24097.
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 2682nd one is 24103.
- 2
24103 is prime because no prime up to ā24103 ā 155.25 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2682nd prime is close to 2682 Ć ln(2682) ā 21173, and here it is 24103.
- 4
24103 has no twin: neither 24101 nor 24105 is prime.
Primes around the 2682nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2679 | 24083 | 6 |
| 2680 | 24091 | 8 |
| 2681 | 24097 | 6 |
| 2682 | 24103 | 6 |
| 2683 | 24107 | 4 |
| 2684 | 24109 | 2 |
| 2685 | 24113 | 4 |
Questions
What is the 2682nd prime number?
24103.
Which prime number is 24103?
24103 is the 2682nd prime number.
What is the sum of the first 2682 primes?
30,441,503.