What is the 2749th prime number?
The 2749th prime number is 24859. The next prime is 24877 (a gap of 18) and the one before is 24851.
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 2749th one is 24859.
- 2
24859 is prime because no prime up to ā24859 ā 157.67 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2749th prime is close to 2749 Ć ln(2749) ā 21769, and here it is 24859.
- 4
24859 has no twin: neither 24857 nor 24861 is prime.
Primes around the 2749th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2746 | 24841 | 20 |
| 2747 | 24847 | 6 |
| 2748 | 24851 | 4 |
| 2749 | 24859 | 8 |
| 2750 | 24877 | 18 |
| 2751 | 24889 | 12 |
| 2752 | 24907 | 18 |
Questions
What is the 2749th prime number?
24859.
Which prime number is 24859?
24859 is the 2749th prime number.
What is the sum of the first 2749 primes?
32,081,506.