What is the 1483rd prime number?
The 1483rd prime number is 12421. The next prime is 12433 (a gap of 12) and the one before is 12413.
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 1483rd one is 12421.
- 2
12421 is prime because no prime up to ā12421 ā 111.45 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1483rd prime is close to 1483 Ć ln(1483) ā 10829, and here it is 12421.
- 4
12421 has no twin: neither 12419 nor 12423 is prime.
Primes around the 1483rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 1480 | 12401 | 10 |
| 1481 | 12409 | 8 |
| 1482 | 12413 | 4 |
| 1483 | 12421 | 8 |
| 1484 | 12433 | 12 |
| 1485 | 12437 | 4 |
| 1486 | 12451 | 14 |
Questions
What is the 1483rd prime number?
12421.
Which prime number is 12421?
12421 is the 1483rd prime number.
What is the sum of the first 1483 primes?
8,584,194.