What is the 1739th prime number?
The 1739th prime number is 14843. The next prime is 14851 (a gap of 8) and the one before is 14831.
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 1739th one is 14843.
- 2
14843 is prime because no prime up to ā14843 ā 121.83 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1739th prime is close to 1739 Ć ln(1739) ā 12975, and here it is 14843.
- 4
14843 has no twin: neither 14841 nor 14845 is prime.
Primes around the 1739th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1736 | 14821 | 8 |
| 1737 | 14827 | 6 |
| 1738 | 14831 | 4 |
| 1739 | 14843 | 12 |
| 1740 | 14851 | 8 |
| 1741 | 14867 | 16 |
| 1742 | 14869 | 2 |
Questions
What is the 1739th prime number?
14843.
Which prime number is 14843?
14843 is the 1739th prime number.
What is the sum of the first 1739 primes?
12,072,230.