What is the 2644th prime number?
The 2644th prime number is 23767. The next prime is 23773 (a gap of 6) and the one before is 23761.
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 2644th one is 23767.
- 2
23767 is prime because no prime up to ā23767 ā 154.17 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2644th prime is close to 2644 Ć ln(2644) ā 20835, and here it is 23767.
- 4
23767 has no twin: neither 23765 nor 23769 is prime.
Primes around the 2644th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2641 | 23747 | 4 |
| 2642 | 23753 | 6 |
| 2643 | 23761 | 8 |
| 2644 | 23767 | 6 |
| 2645 | 23773 | 6 |
| 2646 | 23789 | 16 |
| 2647 | 23801 | 12 |
Questions
What is the 2644th prime number?
23767.
Which prime number is 23767?
23767 is the 2644th prime number.
What is the sum of the first 2644 primes?
29,531,561.