What is the 1482nd prime number?
The 1482nd prime number is 12413. The next prime is 12421 (a gap of 8) and the one before is 12409.
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 1482nd one is 12413.
- 2
12413 is prime because no prime up to ā12413 ā 111.41 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1482nd prime is close to 1482 Ć ln(1482) ā 10820, and here it is 12413.
- 4
12413 has no twin: neither 12411 nor 12415 is prime.
Primes around the 1482nd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1479 | 12391 | 12 |
| 1480 | 12401 | 10 |
| 1481 | 12409 | 8 |
| 1482 | 12413 | 4 |
| 1483 | 12421 | 8 |
| 1484 | 12433 | 12 |
| 1485 | 12437 | 4 |
Questions
What is the 1482nd prime number?
12413.
Which prime number is 12413?
12413 is the 1482nd prime number.
What is the sum of the first 1482 primes?
8,571,773.