What is the 272nd prime number?
The 272nd prime number is 1747. The next prime is 1753 (a gap of 6) and the one before is 1741.
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 272nd one is 1747.
- 2
1747 is prime because no prime up to ā1747 ā 41.80 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 272nd prime is close to 272 Ć ln(272) ā 1525, and here it is 1747.
- 4
1747 has no twin: neither 1745 nor 1749 is prime.
Primes around the 272nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 269 | 1723 | 2 |
| 270 | 1733 | 10 |
| 271 | 1741 | 8 |
| 272 | 1747 | 6 |
| 273 | 1753 | 6 |
| 274 | 1759 | 6 |
| 275 | 1777 | 18 |
Questions
What is the 272nd prime number?
1747.
Which prime number is 1747?
1747 is the 272nd prime number.
What is the sum of the first 272 primes?
218,759.