What is the 2543rd prime number?
The 2543rd prime number is 22751. The next prime is 22769 (a gap of 18) and the one before is 22741.
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 2543rd one is 22751.
- 2
22751 is prime because no prime up to ā22751 ā 150.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2543rd prime is close to 2543 Ć ln(2543) ā 19940, and here it is 22751.
- 4
22751 has no twin: neither 22749 nor 22753 is prime.
Primes around the 2543rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2540 | 22727 | 6 |
| 2541 | 22739 | 12 |
| 2542 | 22741 | 2 |
| 2543 | 22751 | 10 |
| 2544 | 22769 | 18 |
| 2545 | 22777 | 8 |
| 2546 | 22783 | 6 |
Questions
What is the 2543rd prime number?
22751.
Which prime number is 22751?
22751 is the 2543rd prime number.
What is the sum of the first 2543 primes?
27,181,088.