What is the 1740th prime number?
The 1740th prime number is 14851. The next prime is 14867 (a gap of 16) and the one before is 14843.
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 1740th one is 14851.
- 2
14851 is prime because no prime up to ā14851 ā 121.86 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1740th prime is close to 1740 Ć ln(1740) ā 12983, and here it is 14851.
- 4
14851 has no twin: neither 14849 nor 14853 is prime.
Primes around the 1740th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1737 | 14827 | 6 |
| 1738 | 14831 | 4 |
| 1739 | 14843 | 12 |
| 1740 | 14851 | 8 |
| 1741 | 14867 | 16 |
| 1742 | 14869 | 2 |
| 1743 | 14879 | 10 |
Questions
What is the 1740th prime number?
14851.
Which prime number is 14851?
14851 is the 1740th prime number.
What is the sum of the first 1740 primes?
12,087,081.