What is the 1744th prime number?
The 1744th prime number is 14887. The next prime is 14891 (a gap of 4) and the one before is 14879.
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 1744th one is 14887.
- 2
14887 is prime because no prime up to ā14887 ā 122.01 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1744th prime is close to 1744 Ć ln(1744) ā 13017, and here it is 14887.
- 4
14887 has no twin: neither 14885 nor 14889 is prime.
Primes around the 1744th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1741 | 14867 | 16 |
| 1742 | 14869 | 2 |
| 1743 | 14879 | 10 |
| 1744 | 14887 | 8 |
| 1745 | 14891 | 4 |
| 1746 | 14897 | 6 |
| 1747 | 14923 | 26 |
Questions
What is the 1744th prime number?
14887.
Which prime number is 14887?
14887 is the 1744th prime number.
What is the sum of the first 1744 primes?
12,146,583.