What is the 1470th prime number?
The 1470th prime number is 12289. The next prime is 12301 (a gap of 12) and the one before is 12281.
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 1470th one is 12289.
- 2
12289 is prime because no prime up to ā12289 ā 110.86 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1470th prime is close to 1470 Ć ln(1470) ā 10721, and here it is 12289.
- 4
12289 has no twin: neither 12287 nor 12291 is prime.
Primes around the 1470th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1467 | 12269 | 6 |
| 1468 | 12277 | 8 |
| 1469 | 12281 | 4 |
| 1470 | 12289 | 8 |
| 1471 | 12301 | 12 |
| 1472 | 12323 | 22 |
| 1473 | 12329 | 6 |
Questions
What is the 1470th prime number?
12289.
Which prime number is 12289?
12289 is the 1470th prime number.
What is the sum of the first 1470 primes?
8,423,387.