What is the 2746th prime number?
The 2746th prime number is 24841. The next prime is 24847 (a gap of 6) and the one before is 24821.
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 2746th one is 24841.
- 2
24841 is prime because no prime up to ā24841 ā 157.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2746th prime is close to 2746 Ć ln(2746) ā 21743, and here it is 24841.
- 4
24841 has no twin: neither 24839 nor 24843 is prime.
Primes around the 2746th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2743 | 24799 | 6 |
| 2744 | 24809 | 10 |
| 2745 | 24821 | 12 |
| 2746 | 24841 | 20 |
| 2747 | 24847 | 6 |
| 2748 | 24851 | 4 |
| 2749 | 24859 | 8 |
Questions
What is the 2746th prime number?
24841.
Which prime number is 24841?
24841 is the 2746th prime number.
What is the sum of the first 2746 primes?
32,006,949.