What is the 1725th prime number?
The 1725th prime number is 14737. The next prime is 14741 (a gap of 4) and the one before is 14731.
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 1725th one is 14737.
- 2
14737 is prime because no prime up to ā14737 ā 121.40 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1725th prime is close to 1725 Ć ln(1725) ā 12856, and here it is 14737.
- 4
14737 has no twin: neither 14735 nor 14739 is prime.
Primes around the 1725th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1722 | 14717 | 4 |
| 1723 | 14723 | 6 |
| 1724 | 14731 | 8 |
| 1725 | 14737 | 6 |
| 1726 | 14741 | 4 |
| 1727 | 14747 | 6 |
| 1728 | 14753 | 6 |
Questions
What is the 1725th prime number?
14737.
Which prime number is 14737?
14737 is the 1725th prime number.
What is the sum of the first 1725 primes?
11,865,198.