What is the 2722nd prime number?
The 2722nd prime number is 24533. The next prime is 24547 (a gap of 14) and the one before is 24527.
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 2722nd one is 24533.
- 2
24533 is prime because no prime up to ā24533 ā 156.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2722nd prime is close to 2722 Ć ln(2722) ā 21529, and here it is 24533.
- 4
24533 has no twin: neither 24531 nor 24535 is prime.
Primes around the 2722nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2719 | 24509 | 10 |
| 2720 | 24517 | 8 |
| 2721 | 24527 | 10 |
| 2722 | 24533 | 6 |
| 2723 | 24547 | 14 |
| 2724 | 24551 | 4 |
| 2725 | 24571 | 20 |
Questions
What is the 2722nd prime number?
24533.
Which prime number is 24533?
24533 is the 2722nd prime number.
What is the sum of the first 2722 primes?
31,414,179.