What is the 269th prime number?
The 269th prime number is 1723. The next prime is 1733 (a gap of 10) and the one before is 1721.
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 269th one is 1723.
- 2
1723 is prime because no prime up to ā1723 ā 41.51 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 269th prime is close to 269 Ć ln(269) ā 1505, and here it is 1723.
- 4
1723 is a twin prime: 1721 and 1723 are both prime.
Primes around the 269th
| Position | Prime | Gap from the previous |
|---|---|---|
| 266 | 1699 | 2 |
| 267 | 1709 | 10 |
| 268 | 1721 | 12 |
| 269 | 1723 | 2 |
| 270 | 1733 | 10 |
| 271 | 1741 | 8 |
| 272 | 1747 | 6 |
Questions
What is the 269th prime number?
1723.
Which prime number is 1723?
1723 is the 269th prime number.
What is the sum of the first 269 primes?
213,538.