What is the 2734th prime number?
The 2734th prime number is 24691. The next prime is 24697 (a gap of 6) and the one before is 24683.
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 2734th one is 24691.
- 2
24691 is prime because no prime up to ā24691 ā 157.13 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2734th prime is close to 2734 Ć ln(2734) ā 21636, and here it is 24691.
- 4
24691 has no twin: neither 24689 nor 24693 is prime.
Primes around the 2734th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2731 | 24671 | 12 |
| 2732 | 24677 | 6 |
| 2733 | 24683 | 6 |
| 2734 | 24691 | 8 |
| 2735 | 24697 | 6 |
| 2736 | 24709 | 12 |
| 2737 | 24733 | 24 |
Questions
What is the 2734th prime number?
24691.
Which prime number is 24691?
24691 is the 2734th prime number.
What is the sum of the first 2734 primes?
31,709,687.