What is the 2748th prime number?
The 2748th prime number is 24851. The next prime is 24859 (a gap of 8) and the one before is 24847.
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 2748th one is 24851.
- 2
24851 is prime because no prime up to ā24851 ā 157.64 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2748th prime is close to 2748 Ć ln(2748) ā 21760, and here it is 24851.
- 4
24851 has no twin: neither 24849 nor 24853 is prime.
Primes around the 2748th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2745 | 24821 | 12 |
| 2746 | 24841 | 20 |
| 2747 | 24847 | 6 |
| 2748 | 24851 | 4 |
| 2749 | 24859 | 8 |
| 2750 | 24877 | 18 |
| 2751 | 24889 | 12 |
Questions
What is the 2748th prime number?
24851.
Which prime number is 24851?
24851 is the 2748th prime number.
What is the sum of the first 2748 primes?
32,056,647.