What is the 2738th prime number?
The 2738th prime number is 24749. The next prime is 24763 (a gap of 14) and the one before is 24733.
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 2738th one is 24749.
- 2
24749 is prime because no prime up to ā24749 ā 157.32 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2738th prime is close to 2738 Ć ln(2738) ā 21671, and here it is 24749.
- 4
24749 has no twin: neither 24747 nor 24751 is prime.
Primes around the 2738th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2735 | 24697 | 6 |
| 2736 | 24709 | 12 |
| 2737 | 24733 | 24 |
| 2738 | 24749 | 16 |
| 2739 | 24763 | 14 |
| 2740 | 24767 | 4 |
| 2741 | 24781 | 14 |
Questions
What is the 2738th prime number?
24749.
Which prime number is 24749?
24749 is the 2738th prime number.
What is the sum of the first 2738 primes?
31,808,575.