What is the 273rd prime number?
The 273rd prime number is 1753. The next prime is 1759 (a gap of 6) and the one before is 1747.
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 273rd one is 1753.
- 2
1753 is prime because no prime up to ā1753 ā 41.87 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 273rd prime is close to 273 Ć ln(273) ā 1531, and here it is 1753.
- 4
1753 has no twin: neither 1751 nor 1755 is prime.
Primes around the 273rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 270 | 1733 | 10 |
| 271 | 1741 | 8 |
| 272 | 1747 | 6 |
| 273 | 1753 | 6 |
| 274 | 1759 | 6 |
| 275 | 1777 | 18 |
| 276 | 1783 | 6 |
Questions
What is the 273rd prime number?
1753.
Which prime number is 1753?
1753 is the 273rd prime number.
What is the sum of the first 273 primes?
220,512.