What is the 1742nd prime number?
The 1742nd prime number is 14869. The next prime is 14879 (a gap of 10) and the one before is 14867.
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 1742nd one is 14869.
- 2
14869 is prime because no prime up to ā14869 ā 121.94 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1742nd prime is close to 1742 Ć ln(1742) ā 13000, and here it is 14869.
- 4
14869 is a twin prime: 14867 and 14869 are both prime.
Primes around the 1742nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1739 | 14843 | 12 |
| 1740 | 14851 | 8 |
| 1741 | 14867 | 16 |
| 1742 | 14869 | 2 |
| 1743 | 14879 | 10 |
| 1744 | 14887 | 8 |
| 1745 | 14891 | 4 |
Questions
What is the 1742nd prime number?
14869.
Which prime number is 14869?
14869 is the 1742nd prime number.
What is the sum of the first 1742 primes?
12,116,817.