What is the 1746th prime number?
The 1746th prime number is 14897. The next prime is 14923 (a gap of 26) and the one before is 14891.
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 1746th one is 14897.
- 2
14897 is prime because no prime up to ā14897 ā 122.05 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1746th prime is close to 1746 Ć ln(1746) ā 13034, and here it is 14897.
- 4
14897 has no twin: neither 14895 nor 14899 is prime.
Primes around the 1746th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1743 | 14879 | 10 |
| 1744 | 14887 | 8 |
| 1745 | 14891 | 4 |
| 1746 | 14897 | 6 |
| 1747 | 14923 | 26 |
| 1748 | 14929 | 6 |
| 1749 | 14939 | 10 |
Questions
What is the 1746th prime number?
14897.
Which prime number is 14897?
14897 is the 1746th prime number.
What is the sum of the first 1746 primes?
12,176,371.