What is the 1743rd prime number?
The 1743rd prime number is 14879. The next prime is 14887 (a gap of 8) and the one before is 14869.
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 1743rd one is 14879.
- 2
14879 is prime because no prime up to ā14879 ā 121.98 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1743rd prime is close to 1743 Ć ln(1743) ā 13009, and here it is 14879.
- 4
14879 has no twin: neither 14877 nor 14881 is prime.
Primes around the 1743rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1740 | 14851 | 8 |
| 1741 | 14867 | 16 |
| 1742 | 14869 | 2 |
| 1743 | 14879 | 10 |
| 1744 | 14887 | 8 |
| 1745 | 14891 | 4 |
| 1746 | 14897 | 6 |
Questions
What is the 1743rd prime number?
14879.
Which prime number is 14879?
14879 is the 1743rd prime number.
What is the sum of the first 1743 primes?
12,131,696.