What is the 2732nd prime number?
The 2732nd prime number is 24677. The next prime is 24683 (a gap of 6) and the one before is 24671.
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 2732nd one is 24677.
- 2
24677 is prime because no prime up to ā24677 ā 157.09 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2732nd prime is close to 2732 Ć ln(2732) ā 21618, and here it is 24677.
- 4
24677 has no twin: neither 24675 nor 24679 is prime.
Primes around the 2732nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 2729 | 24631 | 8 |
| 2730 | 24659 | 28 |
| 2731 | 24671 | 12 |
| 2732 | 24677 | 6 |
| 2733 | 24683 | 6 |
| 2734 | 24691 | 8 |
| 2735 | 24697 | 6 |
Questions
What is the 2732nd prime number?
24677.
Which prime number is 24677?
24677 is the 2732nd prime number.
What is the sum of the first 2732 primes?
31,660,313.