What is the 2645th prime number?
The 2645th prime number is 23773. The next prime is 23789 (a gap of 16) and the one before is 23767.
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 2645th one is 23773.
- 2
23773 is prime because no prime up to ā23773 ā 154.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2645th prime is close to 2645 Ć ln(2645) ā 20844, and here it is 23773.
- 4
23773 has no twin: neither 23771 nor 23775 is prime.
Primes around the 2645th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2642 | 23753 | 6 |
| 2643 | 23761 | 8 |
| 2644 | 23767 | 6 |
| 2645 | 23773 | 6 |
| 2646 | 23789 | 16 |
| 2647 | 23801 | 12 |
| 2648 | 23813 | 12 |
Questions
What is the 2645th prime number?
23773.
Which prime number is 23773?
23773 is the 2645th prime number.
What is the sum of the first 2645 primes?
29,555,334.