What is the 1748th prime number?
The 1748th prime number is 14929. The next prime is 14939 (a gap of 10) and the one before is 14923.
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 1748th one is 14929.
- 2
14929 is prime because no prime up to ā14929 ā 122.18 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1748th prime is close to 1748 Ć ln(1748) ā 13051, and here it is 14929.
- 4
14929 has no twin: neither 14927 nor 14931 is prime.
Primes around the 1748th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1745 | 14891 | 4 |
| 1746 | 14897 | 6 |
| 1747 | 14923 | 26 |
| 1748 | 14929 | 6 |
| 1749 | 14939 | 10 |
| 1750 | 14947 | 8 |
| 1751 | 14951 | 4 |
Questions
What is the 1748th prime number?
14929.
Which prime number is 14929?
14929 is the 1748th prime number.
What is the sum of the first 1748 primes?
12,206,223.