What is the 1747th prime number?
The 1747th prime number is 14923. The next prime is 14929 (a gap of 6) and the one before is 14897.
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 1747th one is 14923.
- 2
14923 is prime because no prime up to ā14923 ā 122.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1747th prime is close to 1747 Ć ln(1747) ā 13042, and here it is 14923.
- 4
14923 has no twin: neither 14921 nor 14925 is prime.
Primes around the 1747th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1744 | 14887 | 8 |
| 1745 | 14891 | 4 |
| 1746 | 14897 | 6 |
| 1747 | 14923 | 26 |
| 1748 | 14929 | 6 |
| 1749 | 14939 | 10 |
| 1750 | 14947 | 8 |
Questions
What is the 1747th prime number?
14923.
Which prime number is 14923?
14923 is the 1747th prime number.
What is the sum of the first 1747 primes?
12,191,294.