What is the 1724th prime number?
The 1724th prime number is 14731. The next prime is 14737 (a gap of 6) and the one before is 14723.
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 1724th one is 14731.
- 2
14731 is prime because no prime up to ā14731 ā 121.37 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1724th prime is close to 1724 Ć ln(1724) ā 12848, and here it is 14731.
- 4
14731 has no twin: neither 14729 nor 14733 is prime.
Primes around the 1724th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1721 | 14713 | 14 |
| 1722 | 14717 | 4 |
| 1723 | 14723 | 6 |
| 1724 | 14731 | 8 |
| 1725 | 14737 | 6 |
| 1726 | 14741 | 4 |
| 1727 | 14747 | 6 |
Questions
What is the 1724th prime number?
14731.
Which prime number is 14731?
14731 is the 1724th prime number.
What is the sum of the first 1724 primes?
11,850,461.