What is the 2541st prime number?
The 2541st prime number is 22739. The next prime is 22741 (a gap of 2) and the one before is 22727.
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 2541st one is 22739.
- 2
22739 is prime because no prime up to ā22739 ā 150.79 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2541st prime is close to 2541 Ć ln(2541) ā 19922, and here it is 22739.
- 4
22739 is a twin prime: 22739 and 22741 are both prime.
Primes around the 2541st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2538 | 22717 | 8 |
| 2539 | 22721 | 4 |
| 2540 | 22727 | 6 |
| 2541 | 22739 | 12 |
| 2542 | 22741 | 2 |
| 2543 | 22751 | 10 |
| 2544 | 22769 | 18 |
Questions
What is the 2541st prime number?
22739.
Which prime number is 22739?
22739 is the 2541st prime number.
What is the sum of the first 2541 primes?
27,135,596.