What is the 1745th prime number?
The 1745th prime number is 14891. The next prime is 14897 (a gap of 6) and the one before is 14887.
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 1745th one is 14891.
- 2
14891 is prime because no prime up to ā14891 ā 122.03 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1745th prime is close to 1745 Ć ln(1745) ā 13026, and here it is 14891.
- 4
14891 has no twin: neither 14889 nor 14893 is prime.
Primes around the 1745th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1742 | 14869 | 2 |
| 1743 | 14879 | 10 |
| 1744 | 14887 | 8 |
| 1745 | 14891 | 4 |
| 1746 | 14897 | 6 |
| 1747 | 14923 | 26 |
| 1748 | 14929 | 6 |
Questions
What is the 1745th prime number?
14891.
Which prime number is 14891?
14891 is the 1745th prime number.
What is the sum of the first 1745 primes?
12,161,474.