What is the 2542nd prime number?
The 2542nd prime number is 22741. The next prime is 22751 (a gap of 10) and the one before is 22739.
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 2542nd one is 22741.
- 2
22741 is prime because no prime up to ā22741 ā 150.80 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2542nd prime is close to 2542 Ć ln(2542) ā 19931, and here it is 22741.
- 4
22741 is a twin prime: 22739 and 22741 are both prime.
Primes around the 2542nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2539 | 22721 | 4 |
| 2540 | 22727 | 6 |
| 2541 | 22739 | 12 |
| 2542 | 22741 | 2 |
| 2543 | 22751 | 10 |
| 2544 | 22769 | 18 |
| 2545 | 22777 | 8 |
Questions
What is the 2542nd prime number?
22741.
Which prime number is 22741?
22741 is the 2542nd prime number.
What is the sum of the first 2542 primes?
27,158,337.