What is the 2737th prime number?
The 2737th prime number is 24733. The next prime is 24749 (a gap of 16) and the one before is 24709.
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 2737th one is 24733.
- 2
24733 is prime because no prime up to ā24733 ā 157.27 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2737th prime is close to 2737 Ć ln(2737) ā 21662, and here it is 24733.
- 4
24733 has no twin: neither 24731 nor 24735 is prime.
Primes around the 2737th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2734 | 24691 | 8 |
| 2735 | 24697 | 6 |
| 2736 | 24709 | 12 |
| 2737 | 24733 | 24 |
| 2738 | 24749 | 16 |
| 2739 | 24763 | 14 |
| 2740 | 24767 | 4 |
Questions
What is the 2737th prime number?
24733.
Which prime number is 24733?
24733 is the 2737th prime number.
What is the sum of the first 2737 primes?
31,783,826.