What is the 2648th prime number?
The 2648th prime number is 23813. The next prime is 23819 (a gap of 6) and the one before is 23801.
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 2648th one is 23813.
- 2
23813 is prime because no prime up to ā23813 ā 154.31 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2648th prime is close to 2648 Ć ln(2648) ā 20870, and here it is 23813.
- 4
23813 has no twin: neither 23811 nor 23815 is prime.
Primes around the 2648th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2645 | 23773 | 6 |
| 2646 | 23789 | 16 |
| 2647 | 23801 | 12 |
| 2648 | 23813 | 12 |
| 2649 | 23819 | 6 |
| 2650 | 23827 | 8 |
| 2651 | 23831 | 4 |
Questions
What is the 2648th prime number?
23813.
Which prime number is 23813?
23813 is the 2648th prime number.
What is the sum of the first 2648 primes?
29,626,737.