What is the 1749th prime number?
The 1749th prime number is 14939. The next prime is 14947 (a gap of 8) and the one before is 14929.
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 1749th one is 14939.
- 2
14939 is prime because no prime up to ā14939 ā 122.23 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1749th prime is close to 1749 Ć ln(1749) ā 13059, and here it is 14939.
- 4
14939 has no twin: neither 14937 nor 14941 is prime.
Primes around the 1749th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1746 | 14897 | 6 |
| 1747 | 14923 | 26 |
| 1748 | 14929 | 6 |
| 1749 | 14939 | 10 |
| 1750 | 14947 | 8 |
| 1751 | 14951 | 4 |
| 1752 | 14957 | 6 |
Questions
What is the 1749th prime number?
14939.
Which prime number is 14939?
14939 is the 1749th prime number.
What is the sum of the first 1749 primes?
12,221,162.