What is the 2721st prime number?
The 2721st prime number is 24527. The next prime is 24533 (a gap of 6) and the one before is 24517.
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 2721st one is 24527.
- 2
24527 is prime because no prime up to ā24527 ā 156.61 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2721st prime is close to 2721 Ć ln(2721) ā 21520, and here it is 24527.
- 4
24527 has no twin: neither 24525 nor 24529 is prime.
Primes around the 2721st
| Position | Prime | Gap from the previous |
|---|---|---|
| 2718 | 24499 | 18 |
| 2719 | 24509 | 10 |
| 2720 | 24517 | 8 |
| 2721 | 24527 | 10 |
| 2722 | 24533 | 6 |
| 2723 | 24547 | 14 |
| 2724 | 24551 | 4 |
Questions
What is the 2721st prime number?
24527.
Which prime number is 24527?
24527 is the 2721st prime number.
What is the sum of the first 2721 primes?
31,389,646.