What is the 1485th prime number?
The 1485th prime number is 12437. The next prime is 12451 (a gap of 14) and the one before is 12433.
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 1485th one is 12437.
- 2
12437 is prime because no prime up to ā12437 ā 111.52 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1485th prime is close to 1485 Ć ln(1485) ā 10845, and here it is 12437.
- 4
12437 has no twin: neither 12435 nor 12439 is prime.
Primes around the 1485th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1482 | 12413 | 4 |
| 1483 | 12421 | 8 |
| 1484 | 12433 | 12 |
| 1485 | 12437 | 4 |
| 1486 | 12451 | 14 |
| 1487 | 12457 | 6 |
| 1488 | 12473 | 16 |
Questions
What is the 1485th prime number?
12437.
Which prime number is 12437?
12437 is the 1485th prime number.
What is the sum of the first 1485 primes?
8,609,064.