What is the 1726th prime number?
The 1726th prime number is 14741. The next prime is 14747 (a gap of 6) and the one before is 14737.
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 1726th one is 14741.
- 2
14741 is prime because no prime up to ā14741 ā 121.41 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1726th prime is close to 1726 Ć ln(1726) ā 12865, and here it is 14741.
- 4
14741 has no twin: neither 14739 nor 14743 is prime.
Primes around the 1726th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1723 | 14723 | 6 |
| 1724 | 14731 | 8 |
| 1725 | 14737 | 6 |
| 1726 | 14741 | 4 |
| 1727 | 14747 | 6 |
| 1728 | 14753 | 6 |
| 1729 | 14759 | 6 |
Questions
What is the 1726th prime number?
14741.
Which prime number is 14741?
14741 is the 1726th prime number.
What is the sum of the first 1726 primes?
11,879,939.