What is the 739th prime number?
The 739th prime number is 5623. The next prime is 5639 (a gap of 16) and the one before is 5591.
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 739th one is 5623.
- 2
5623 is prime because no prime up to ā5623 ā 74.99 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 739th prime is close to 739 Ć ln(739) ā 4881, and here it is 5623.
- 4
5623 has no twin: neither 5621 nor 5625 is prime.
Primes around the 739th
| Position | Prime | Gap from the previous |
|---|---|---|
| 736 | 5573 | 4 |
| 737 | 5581 | 8 |
| 738 | 5591 | 10 |
| 739 | 5623 | 32 |
| 740 | 5639 | 16 |
| 741 | 5641 | 2 |
| 742 | 5647 | 6 |
Questions
What is the 739th prime number?
5623.
Which prime number is 5623?
5623 is the 739th prime number.
What is the sum of the first 739 primes?
1,919,826.