What is the 1750th prime number?
The 1750th prime number is 14947. The next prime is 14951 (a gap of 4) and the one before is 14939.
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 1750th one is 14947.
- 2
14947 is prime because no prime up to ā14947 ā 122.26 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1750th prime is close to 1750 Ć ln(1750) ā 13068, and here it is 14947.
- 4
14947 has no twin: neither 14945 nor 14949 is prime.
Primes around the 1750th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1747 | 14923 | 26 |
| 1748 | 14929 | 6 |
| 1749 | 14939 | 10 |
| 1750 | 14947 | 8 |
| 1751 | 14951 | 4 |
| 1752 | 14957 | 6 |
| 1753 | 14969 | 12 |
Questions
What is the 1750th prime number?
14947.
Which prime number is 14947?
14947 is the 1750th prime number.
What is the sum of the first 1750 primes?
12,236,109.