What is the 1727th prime number?
The 1727th prime number is 14747. The next prime is 14753 (a gap of 6) and the one before is 14741.
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 1727th one is 14747.
- 2
14747 is prime because no prime up to ā14747 ā 121.44 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1727th prime is close to 1727 Ć ln(1727) ā 12873, and here it is 14747.
- 4
14747 has no twin: neither 14745 nor 14749 is prime.
Primes around the 1727th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1724 | 14731 | 8 |
| 1725 | 14737 | 6 |
| 1726 | 14741 | 4 |
| 1727 | 14747 | 6 |
| 1728 | 14753 | 6 |
| 1729 | 14759 | 6 |
| 1730 | 14767 | 8 |
Questions
What is the 1727th prime number?
14747.
Which prime number is 14747?
14747 is the 1727th prime number.
What is the sum of the first 1727 primes?
11,894,686.