What is the 1730th prime number?
The 1730th prime number is 14767. The next prime is 14771 (a gap of 4) and the one before is 14759.
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 1730th one is 14767.
- 2
14767 is prime because no prime up to ā14767 ā 121.52 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1730th prime is close to 1730 Ć ln(1730) ā 12899, and here it is 14767.
- 4
14767 has no twin: neither 14765 nor 14769 is prime.
Primes around the 1730th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1727 | 14747 | 6 |
| 1728 | 14753 | 6 |
| 1729 | 14759 | 6 |
| 1730 | 14767 | 8 |
| 1731 | 14771 | 4 |
| 1732 | 14779 | 8 |
| 1733 | 14783 | 4 |
Questions
What is the 1730th prime number?
14767.
Which prime number is 14767?
14767 is the 1730th prime number.
What is the sum of the first 1730 primes?
11,938,965.