What is the 1728th prime number?
The 1728th prime number is 14753. The next prime is 14759 (a gap of 6) and the one before is 14747.
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 1728th one is 14753.
- 2
14753 is prime because no prime up to ā14753 ā 121.46 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1728th prime is close to 1728 Ć ln(1728) ā 12882, and here it is 14753.
- 4
14753 has no twin: neither 14751 nor 14755 is prime.
Primes around the 1728th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1725 | 14737 | 6 |
| 1726 | 14741 | 4 |
| 1727 | 14747 | 6 |
| 1728 | 14753 | 6 |
| 1729 | 14759 | 6 |
| 1730 | 14767 | 8 |
| 1731 | 14771 | 4 |
Questions
What is the 1728th prime number?
14753.
Which prime number is 14753?
14753 is the 1728th prime number.
What is the sum of the first 1728 primes?
11,909,439.