What is the 2733rd prime number?
The 2733rd prime number is 24683. The next prime is 24691 (a gap of 8) and the one before is 24677.
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 2733rd one is 24683.
- 2
24683 is prime because no prime up to ā24683 ā 157.11 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2733rd prime is close to 2733 Ć ln(2733) ā 21627, and here it is 24683.
- 4
24683 has no twin: neither 24681 nor 24685 is prime.
Primes around the 2733rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2730 | 24659 | 28 |
| 2731 | 24671 | 12 |
| 2732 | 24677 | 6 |
| 2733 | 24683 | 6 |
| 2734 | 24691 | 8 |
| 2735 | 24697 | 6 |
| 2736 | 24709 | 12 |
Questions
What is the 2733rd prime number?
24683.
Which prime number is 24683?
24683 is the 2733rd prime number.
What is the sum of the first 2733 primes?
31,684,996.