What is the 1467th prime number?
The 1467th prime number is 12269. The next prime is 12277 (a gap of 8) and the one before is 12263.
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 1467th one is 12269.
- 2
12269 is prime because no prime up to ā12269 ā 110.77 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1467th prime is close to 1467 Ć ln(1467) ā 10696, and here it is 12269.
- 4
12269 has no twin: neither 12267 nor 12271 is prime.
Primes around the 1467th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1464 | 12251 | 10 |
| 1465 | 12253 | 2 |
| 1466 | 12263 | 10 |
| 1467 | 12269 | 6 |
| 1468 | 12277 | 8 |
| 1469 | 12281 | 4 |
| 1470 | 12289 | 8 |
Questions
What is the 1467th prime number?
12269.
Which prime number is 12269?
12269 is the 1467th prime number.
What is the sum of the first 1467 primes?
8,386,540.