What is the 2647th prime number?
The 2647th prime number is 23801. The next prime is 23813 (a gap of 12) and the one before is 23789.
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 2647th one is 23801.
- 2
23801 is prime because no prime up to ā23801 ā 154.28 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2647th prime is close to 2647 Ć ln(2647) ā 20861, and here it is 23801.
- 4
23801 has no twin: neither 23799 nor 23803 is prime.
Primes around the 2647th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2644 | 23767 | 6 |
| 2645 | 23773 | 6 |
| 2646 | 23789 | 16 |
| 2647 | 23801 | 12 |
| 2648 | 23813 | 12 |
| 2649 | 23819 | 6 |
| 2650 | 23827 | 8 |
Questions
What is the 2647th prime number?
23801.
Which prime number is 23801?
23801 is the 2647th prime number.
What is the sum of the first 2647 primes?
29,602,924.