What is the 1733rd prime number?
The 1733rd prime number is 14783. The next prime is 14797 (a gap of 14) and the one before is 14779.
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 1733rd one is 14783.
- 2
14783 is prime because no prime up to ā14783 ā 121.59 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1733rd prime is close to 1733 Ć ln(1733) ā 12924, and here it is 14783.
- 4
14783 has no twin: neither 14781 nor 14785 is prime.
Primes around the 1733rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1730 | 14767 | 8 |
| 1731 | 14771 | 4 |
| 1732 | 14779 | 8 |
| 1733 | 14783 | 4 |
| 1734 | 14797 | 14 |
| 1735 | 14813 | 16 |
| 1736 | 14821 | 8 |
Questions
What is the 1733rd prime number?
14783.
Which prime number is 14783?
14783 is the 1733rd prime number.
What is the sum of the first 1733 primes?
11,983,298.