What is the 2646th prime number?
The 2646th prime number is 23789. The next prime is 23801 (a gap of 12) and the one before is 23773.
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 2646th one is 23789.
- 2
23789 is prime because no prime up to ā23789 ā 154.24 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2646th prime is close to 2646 Ć ln(2646) ā 20853, and here it is 23789.
- 4
23789 has no twin: neither 23787 nor 23791 is prime.
Primes around the 2646th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2643 | 23761 | 8 |
| 2644 | 23767 | 6 |
| 2645 | 23773 | 6 |
| 2646 | 23789 | 16 |
| 2647 | 23801 | 12 |
| 2648 | 23813 | 12 |
| 2649 | 23819 | 6 |
Questions
What is the 2646th prime number?
23789.
Which prime number is 23789?
23789 is the 2646th prime number.
What is the sum of the first 2646 primes?
29,579,123.