What is the 2643rd prime number?
The 2643rd prime number is 23761. The next prime is 23767 (a gap of 6) and the one before is 23753.
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 2643rd one is 23761.
- 2
23761 is prime because no prime up to ā23761 ā 154.15 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2643rd prime is close to 2643 Ć ln(2643) ā 20826, and here it is 23761.
- 4
23761 has no twin: neither 23759 nor 23763 is prime.
Primes around the 2643rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2640 | 23743 | 2 |
| 2641 | 23747 | 4 |
| 2642 | 23753 | 6 |
| 2643 | 23761 | 8 |
| 2644 | 23767 | 6 |
| 2645 | 23773 | 6 |
| 2646 | 23789 | 16 |
Questions
What is the 2643rd prime number?
23761.
Which prime number is 23761?
23761 is the 2643rd prime number.
What is the sum of the first 2643 primes?
29,507,794.