What is the 1723rd prime number?
The 1723rd prime number is 14723. The next prime is 14731 (a gap of 8) and the one before is 14717.
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 1723rd one is 14723.
- 2
14723 is prime because no prime up to ā14723 ā 121.34 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1723rd prime is close to 1723 Ć ln(1723) ā 12839, and here it is 14723.
- 4
14723 has no twin: neither 14721 nor 14725 is prime.
Primes around the 1723rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1720 | 14699 | 16 |
| 1721 | 14713 | 14 |
| 1722 | 14717 | 4 |
| 1723 | 14723 | 6 |
| 1724 | 14731 | 8 |
| 1725 | 14737 | 6 |
| 1726 | 14741 | 4 |
Questions
What is the 1723rd prime number?
14723.
Which prime number is 14723?
14723 is the 1723rd prime number.
What is the sum of the first 1723 primes?
11,835,730.