What is the 271st prime number?
The 271st prime number is 1741. The next prime is 1747 (a gap of 6) and the one before is 1733.
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 271st one is 1741.
- 2
1741 is prime because no prime up to ā1741 ā 41.73 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 271st prime is close to 271 Ć ln(271) ā 1518, and here it is 1741.
- 4
1741 has no twin: neither 1739 nor 1743 is prime.
Primes around the 271st
| Position | Prime | Gap from the previous |
|---|---|---|
| 268 | 1721 | 12 |
| 269 | 1723 | 2 |
| 270 | 1733 | 10 |
| 271 | 1741 | 8 |
| 272 | 1747 | 6 |
| 273 | 1753 | 6 |
| 274 | 1759 | 6 |
Questions
What is the 271st prime number?
1741.
Which prime number is 1741?
1741 is the 271st prime number.
What is the sum of the first 271 primes?
217,012.