What is the 2539th prime number?
The 2539th prime number is 22721. The next prime is 22727 (a gap of 6) and the one before is 22717.
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 2539th one is 22721.
- 2
22721 is prime because no prime up to ā22721 ā 150.73 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2539th prime is close to 2539 Ć ln(2539) ā 19905, and here it is 22721.
- 4
22721 has no twin: neither 22719 nor 22723 is prime.
Primes around the 2539th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2536 | 22699 | 2 |
| 2537 | 22709 | 10 |
| 2538 | 22717 | 8 |
| 2539 | 22721 | 4 |
| 2540 | 22727 | 6 |
| 2541 | 22739 | 12 |
| 2542 | 22741 | 2 |
Questions
What is the 2539th prime number?
22721.
Which prime number is 22721?
22721 is the 2539th prime number.
What is the sum of the first 2539 primes?
27,090,130.