What is the 2649th prime number?
The 2649th prime number is 23819. The next prime is 23827 (a gap of 8) and the one before is 23813.
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 2649th one is 23819.
- 2
23819 is prime because no prime up to ā23819 ā 154.33 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2649th prime is close to 2649 Ć ln(2649) ā 20879, and here it is 23819.
- 4
23819 has no twin: neither 23817 nor 23821 is prime.
Primes around the 2649th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2646 | 23789 | 16 |
| 2647 | 23801 | 12 |
| 2648 | 23813 | 12 |
| 2649 | 23819 | 6 |
| 2650 | 23827 | 8 |
| 2651 | 23831 | 4 |
| 2652 | 23833 | 2 |
Questions
What is the 2649th prime number?
23819.
Which prime number is 23819?
23819 is the 2649th prime number.
What is the sum of the first 2649 primes?
29,650,556.