What is the 2540th prime number?
The 2540th prime number is 22727. The next prime is 22739 (a gap of 12) and the one before is 22721.
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 2540th one is 22727.
- 2
22727 is prime because no prime up to ā22727 ā 150.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2540th prime is close to 2540 Ć ln(2540) ā 19913, and here it is 22727.
- 4
22727 has no twin: neither 22725 nor 22729 is prime.
Primes around the 2540th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2537 | 22709 | 10 |
| 2538 | 22717 | 8 |
| 2539 | 22721 | 4 |
| 2540 | 22727 | 6 |
| 2541 | 22739 | 12 |
| 2542 | 22741 | 2 |
| 2543 | 22751 | 10 |
Questions
What is the 2540th prime number?
22727.
Which prime number is 22727?
22727 is the 2540th prime number.
What is the sum of the first 2540 primes?
27,112,857.