What is the 270th prime number?
The 270th prime number is 1733. The next prime is 1741 (a gap of 8) and the one before is 1723.
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 270th one is 1733.
- 2
1733 is prime because no prime up to ā1733 ā 41.63 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 270th prime is close to 270 Ć ln(270) ā 1512, and here it is 1733.
- 4
1733 has no twin: neither 1731 nor 1735 is prime.
Primes around the 270th
| Position | Prime | Gap from the previous |
|---|---|---|
| 267 | 1709 | 10 |
| 268 | 1721 | 12 |
| 269 | 1723 | 2 |
| 270 | 1733 | 10 |
| 271 | 1741 | 8 |
| 272 | 1747 | 6 |
| 273 | 1753 | 6 |
Questions
What is the 270th prime number?
1733.
Which prime number is 1733?
1733 is the 270th prime number.
What is the sum of the first 270 primes?
215,271.