What is the 1484th prime number?
The 1484th prime number is 12433. The next prime is 12437 (a gap of 4) and the one before is 12421.
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 1484th one is 12433.
- 2
12433 is prime because no prime up to ā12433 ā 111.50 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1484th prime is close to 1484 Ć ln(1484) ā 10837, and here it is 12433.
- 4
12433 has no twin: neither 12431 nor 12435 is prime.
Primes around the 1484th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1481 | 12409 | 8 |
| 1482 | 12413 | 4 |
| 1483 | 12421 | 8 |
| 1484 | 12433 | 12 |
| 1485 | 12437 | 4 |
| 1486 | 12451 | 14 |
| 1487 | 12457 | 6 |
Questions
What is the 1484th prime number?
12433.
Which prime number is 12433?
12433 is the 1484th prime number.
What is the sum of the first 1484 primes?
8,596,627.