What is the 2747th prime number?
The 2747th prime number is 24847. The next prime is 24851 (a gap of 4) and the one before is 24841.
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 2747th one is 24847.
- 2
24847 is prime because no prime up to ā24847 ā 157.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2747th prime is close to 2747 Ć ln(2747) ā 21751, and here it is 24847.
- 4
24847 has no twin: neither 24845 nor 24849 is prime.
Primes around the 2747th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2744 | 24809 | 10 |
| 2745 | 24821 | 12 |
| 2746 | 24841 | 20 |
| 2747 | 24847 | 6 |
| 2748 | 24851 | 4 |
| 2749 | 24859 | 8 |
| 2750 | 24877 | 18 |
Questions
What is the 2747th prime number?
24847.
Which prime number is 24847?
24847 is the 2747th prime number.
What is the sum of the first 2747 primes?
32,031,796.