What is the 2739th prime number?
The 2739th prime number is 24763. The next prime is 24767 (a gap of 4) and the one before is 24749.
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 2739th one is 24763.
- 2
24763 is prime because no prime up to ā24763 ā 157.36 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 2739th prime is close to 2739 Ć ln(2739) ā 21680, and here it is 24763.
- 4
24763 has no twin: neither 24761 nor 24765 is prime.
Primes around the 2739th
| Position | Prime | Gap from the previous |
|---|---|---|
| 2736 | 24709 | 12 |
| 2737 | 24733 | 24 |
| 2738 | 24749 | 16 |
| 2739 | 24763 | 14 |
| 2740 | 24767 | 4 |
| 2741 | 24781 | 14 |
| 2742 | 24793 | 12 |
Questions
What is the 2739th prime number?
24763.
Which prime number is 24763?
24763 is the 2739th prime number.
What is the sum of the first 2739 primes?
31,833,338.