What is the 2720th prime number?
The 2720th prime number is 24517. The next prime is 24527 (a gap of 10) and the one before is 24509.
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 2720th one is 24517.
- 2
24517 is prime because no prime up to ā24517 ā 156.58 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2720th prime is close to 2720 Ć ln(2720) ā 21511, and here it is 24517.
- 4
24517 has no twin: neither 24515 nor 24519 is prime.
Primes around the 2720th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2717 | 24481 | 8 |
| 2718 | 24499 | 18 |
| 2719 | 24509 | 10 |
| 2720 | 24517 | 8 |
| 2721 | 24527 | 10 |
| 2722 | 24533 | 6 |
| 2723 | 24547 | 14 |
Questions
What is the 2720th prime number?
24517.
Which prime number is 24517?
24517 is the 2720th prime number.
What is the sum of the first 2720 primes?
31,365,119.