What is the 2736th prime number?
The 2736th prime number is 24709. The next prime is 24733 (a gap of 24) and the one before is 24697.
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 2736th one is 24709.
- 2
24709 is prime because no prime up to ā24709 ā 157.19 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2736th prime is close to 2736 Ć ln(2736) ā 21653, and here it is 24709.
- 4
24709 has no twin: neither 24707 nor 24711 is prime.
Primes around the 2736th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2733 | 24683 | 6 |
| 2734 | 24691 | 8 |
| 2735 | 24697 | 6 |
| 2736 | 24709 | 12 |
| 2737 | 24733 | 24 |
| 2738 | 24749 | 16 |
| 2739 | 24763 | 14 |
Questions
What is the 2736th prime number?
24709.
Which prime number is 24709?
24709 is the 2736th prime number.
What is the sum of the first 2736 primes?
31,759,093.