What is the 1469th prime number?
The 1469th prime number is 12281. The next prime is 12289 (a gap of 8) and the one before is 12277.
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 1469th one is 12281.
- 2
12281 is prime because no prime up to ā12281 ā 110.82 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1469th prime is close to 1469 Ć ln(1469) ā 10712, and here it is 12281.
- 4
12281 has no twin: neither 12279 nor 12283 is prime.
Primes around the 1469th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1466 | 12263 | 10 |
| 1467 | 12269 | 6 |
| 1468 | 12277 | 8 |
| 1469 | 12281 | 4 |
| 1470 | 12289 | 8 |
| 1471 | 12301 | 12 |
| 1472 | 12323 | 22 |
Questions
What is the 1469th prime number?
12281.
Which prime number is 12281?
12281 is the 1469th prime number.
What is the sum of the first 1469 primes?
8,411,098.