What is the 2641st prime number?
The 2641st prime number is 23747. The next prime is 23753 (a gap of 6) and the one before is 23743.
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 2641st one is 23747.
- 2
23747 is prime because no prime up to ā23747 ā 154.10 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2641st prime is close to 2641 Ć ln(2641) ā 20808, and here it is 23747.
- 4
23747 has no twin: neither 23745 nor 23749 is prime.
Primes around the 2641st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2638 | 23719 | 30 |
| 2639 | 23741 | 22 |
| 2640 | 23743 | 2 |
| 2641 | 23747 | 4 |
| 2642 | 23753 | 6 |
| 2643 | 23761 | 8 |
| 2644 | 23767 | 6 |
Questions
What is the 2641st prime number?
23747.
Which prime number is 23747?
23747 is the 2641st prime number.
What is the sum of the first 2641 primes?
29,460,280.